Short division with remainders

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 4 tens into groups of 3.
   4 ÷ 3 = 1 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 8 ones = 18
3. Share 18 into groups of 3. How many groups of 3 are in 18?
   18 ÷ 3 = 6 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   16

Check. Check: 16 × 3 + 0 = 48.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 4 tens cannot make a group of 5 on their own, so use all of 40.
   40 is the number to share
2. Share 40 into groups of 5. How many groups of 5 are in 40?
   40 ÷ 5 = 8 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   8

Check. Check: 8 × 5 + 0 = 40.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 2.
   7 ÷ 2 = 3 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 2 ones = 12
3. Share 12 into groups of 2. How many groups of 2 are in 12?
   12 ÷ 2 = 6 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   36

Check. Check: 36 × 2 + 0 = 72.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 6.
   7 ÷ 6 = 1 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 8 ones = 18
3. Share 18 into groups of 6. How many groups of 6 are in 18?
   18 ÷ 6 = 3 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   13

Check. Check: 13 × 6 + 0 = 78.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 2 tens cannot make a group of 6 on their own, so use all of 24.
   24 is the number to share
2. Share 24 into groups of 6. How many groups of 6 are in 24?
   24 ÷ 6 = 4 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   4

Check. Check: 4 × 6 + 0 = 24.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 6 tens cannot make a group of 9 on their own, so use all of 63.
   63 is the number to share
2. Share 63 into groups of 9. How many groups of 9 are in 63?
   63 ÷ 9 = 7 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   7

Check. Check: 7 × 9 + 0 = 63.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 9 tens into groups of 3.
   9 ÷ 3 = 3 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 0 ones = 0
3. Share 0 into groups of 3. How many groups of 3 are in 0?
   0 ÷ 3 = 0 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   30

Check. Check: 30 × 3 + 0 = 90.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 9 tens into groups of 8.
   9 ÷ 8 = 1 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 6 ones = 16
3. Share 16 into groups of 8. How many groups of 8 are in 16?
   16 ÷ 8 = 2 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   12

Check. Check: 12 × 8 + 0 = 96.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 5 tens cannot make a group of 9 on their own, so use all of 54.
   54 is the number to share
2. Share 54 into groups of 9. How many groups of 9 are in 54?
   54 ÷ 9 = 6 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   6

Check. Check: 6 × 9 + 0 = 54.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 1 tens cannot make a group of 9 on their own, so use all of 18.
   18 is the number to share
2. Share 18 into groups of 9. How many groups of 9 are in 18?
   18 ÷ 9 = 2 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   2

Check. Check: 2 × 9 + 0 = 18.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 4 tens into groups of 3.
   4 ÷ 3 = 1 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 2 ones = 12
3. Share 12 into groups of 3. How many groups of 3 are in 12?
   12 ÷ 3 = 4 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   14

Check. Check: 14 × 3 + 0 = 42.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 5 tens into groups of 5.
   5 ÷ 5 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 0 ones = 0
3. Share 0 into groups of 5. How many groups of 5 are in 0?
   0 ÷ 5 = 0 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   10

Check. Check: 10 × 5 + 0 = 50.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 6 tens cannot make a group of 8 on their own, so use all of 64.
   64 is the number to share
2. Share 64 into groups of 8. How many groups of 8 are in 64?
   64 ÷ 8 = 8 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   8

Check. Check: 8 × 8 + 0 = 64.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 8 tens into groups of 8.
   8 ÷ 8 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 0 ones = 0
3. Share 0 into groups of 8. How many groups of 8 are in 0?
   0 ÷ 8 = 0 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   10

Check. Check: 10 × 8 + 0 = 80.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 8 tens into groups of 8.
   8 ÷ 8 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 8 ones = 8
3. Share 8 into groups of 8. How many groups of 8 are in 8?
   8 ÷ 8 = 1 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   11

Check. Check: 11 × 8 + 0 = 88.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 5.
   7 ÷ 5 = 1 r 2
2. Bring down the ones. The tens left over become ten ones each.
   2 tens and 0 ones = 20
3. Share 20 into groups of 5. How many groups of 5 are in 20?
   20 ÷ 5 = 4 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   14

Check. Check: 14 × 5 + 0 = 70.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 2 tens cannot make a group of 8 on their own, so use all of 20.
   20 is the number to share
2. Share 20 into groups of 8. How many groups of 8 are in 20?
   20 ÷ 8 = 2 r 4
3. Write the answer. The remainder is what is left over; write it after the answer.
   2 remainder 4

Check. Check: 2 × 8 + 4 = 20.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 6 tens into groups of 3.
   6 ÷ 3 = 2 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 4 ones = 4
3. Share 4 into groups of 3. How many groups of 3 are in 4?
   4 ÷ 3 = 1 r 1
4. Write the answer. The remainder is what is left over; write it after the answer.
   21 remainder 1

Check. Check: 21 × 3 + 1 = 64.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 4.
   7 ÷ 4 = 1 r 3
2. Bring down the ones. The tens left over become ten ones each.
   3 tens and 1 ones = 31
3. Share 31 into groups of 4. How many groups of 4 are in 31?
   31 ÷ 4 = 7 r 3
4. Write the answer. The remainder is what is left over; write it after the answer.
   17 remainder 3

Check. Check: 17 × 4 + 3 = 71.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 6 tens into groups of 6.
   6 ÷ 6 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 3 ones = 3
3. Share 3 into groups of 6. How many groups of 6 are in 3?
   3 ÷ 6 = 0 r 3
4. Write the answer. The remainder is what is left over; write it after the answer.
   10 remainder 3

Check. Check: 10 × 6 + 3 = 63.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 1 tens cannot make a group of 4 on their own, so use all of 11.
   11 is the number to share
2. Share 11 into groups of 4. How many groups of 4 are in 11?
   11 ÷ 4 = 2 r 3
3. Write the answer. The remainder is what is left over; write it after the answer.
   2 remainder 3

Check. Check: 2 × 4 + 3 = 11.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 6 tens into groups of 6.
   6 ÷ 6 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 8 ones = 8
3. Share 8 into groups of 6. How many groups of 6 are in 8?
   8 ÷ 6 = 1 r 2
4. Write the answer. The remainder is what is left over; write it after the answer.
   11 remainder 2

Check. Check: 11 × 6 + 2 = 68.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 5 tens cannot make a group of 7 on their own, so use all of 54.
   54 is the number to share
2. Share 54 into groups of 7. How many groups of 7 are in 54?
   54 ÷ 7 = 7 r 5
3. Write the answer. The remainder is what is left over; write it after the answer.
   7 remainder 5

Check. Check: 7 × 7 + 5 = 54.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 6.
   7 ÷ 6 = 1 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 7 ones = 17
3. Share 17 into groups of 6. How many groups of 6 are in 17?
   17 ÷ 6 = 2 r 5
4. Write the answer. The remainder is what is left over; write it after the answer.
   12 remainder 5

Check. Check: 12 × 6 + 5 = 77.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 8 tens into groups of 8.
   8 ÷ 8 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 7 ones = 7
3. Share 7 into groups of 8. How many groups of 8 are in 7?
   7 ÷ 8 = 0 r 7
4. Write the answer. The remainder is what is left over; write it after the answer.
   10 remainder 7

Check. Check: 10 × 8 + 7 = 87.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 7.
   7 ÷ 7 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 8 ones = 8
3. Share 8 into groups of 7. How many groups of 7 are in 8?
   8 ÷ 7 = 1 r 1
4. Write the answer. The remainder is what is left over; write it after the answer.
   11 remainder 1

Check. Check: 11 × 7 + 1 = 78.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 4 tens into groups of 3.
   4 ÷ 3 = 1 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 0 ones = 10
3. Share 10 into groups of 3. How many groups of 3 are in 10?
   10 ÷ 3 = 3 r 1
4. Write the answer. The remainder is what is left over; write it after the answer.
   13 remainder 1

Check. Check: 13 × 3 + 1 = 40.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 7.
   7 ÷ 7 = 1 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 3 ones = 3
3. Share 3 into groups of 7. How many groups of 7 are in 3?
   3 ÷ 7 = 0 r 3
4. Write the answer. The remainder is what is left over; write it after the answer.
   10 remainder 3

Check. Check: 10 × 7 + 3 = 73.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 4.
   7 ÷ 4 = 1 r 3
2. Bring down the ones. The tens left over become ten ones each.
   3 tens and 5 ones = 35
3. Share 35 into groups of 4. How many groups of 4 are in 35?
   35 ÷ 4 = 8 r 3
4. Write the answer. The remainder is what is left over; write it after the answer.
   18 remainder 3

Check. Check: 18 × 4 + 3 = 75.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 6 tens into groups of 5.
   6 ÷ 5 = 1 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 6 ones = 16
3. Share 16 into groups of 5. How many groups of 5 are in 16?
   16 ÷ 5 = 3 r 1
4. Write the answer. The remainder is what is left over; write it after the answer.
   13 remainder 1

Check. Check: 13 × 5 + 1 = 66.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 7 tens into groups of 2.
   7 ÷ 2 = 3 r 1
2. Bring down the ones. The tens left over become ten ones each.
   1 tens and 9 ones = 19
3. Share 19 into groups of 2. How many groups of 2 are in 19?
   19 ÷ 2 = 9 r 1
4. Write the answer. The remainder is what is left over; write it after the answer.
   39 remainder 1

Check. Check: 39 × 2 + 1 = 79.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 8 tens into groups of 4.
   8 ÷ 4 = 2 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 3 ones = 3
3. Share 3 into groups of 4. How many groups of 4 are in 3?
   3 ÷ 4 = 0 r 3
4. Write the answer. The remainder is what is left over; write it after the answer.
   20 remainder 3

Check. Check: 20 × 4 + 3 = 83.

Watch out. The remainder must be smaller than the number you divide by.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 47 children in buses of 8.
   47 ÷ 8 = 5 remainder 7
2. Decide what the remainder means. The children left over still need a bus, so round up.
   7 children left over need 1 more bus
3. Write the answer. Round up when the leftover people still need a place.
   6 buses

Check. Check: 6 buses hold 48 children, which is at least 47.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 76 children in buses of 7.
   76 ÷ 7 = 10 remainder 6
2. Decide what the remainder means. The children left over still need a bus, so round up.
   6 children left over need 1 more bus
3. Write the answer. Round up when the leftover people still need a place.
   11 buses

Check. Check: 11 buses hold 77 children, which is at least 76.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   33 ÷ 4 = 8 remainder 1
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   8 each and 1 left over
3. Write the answer. Give both parts, as the question asks.
   8 each, 1 left over

Check. Check: 8 × 4 + 1 = 33.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   66 ÷ 8 = 8 remainder 2
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   8 each and 2 left over
3. Write the answer. Give both parts, as the question asks.
   8 each, 2 left over

Check. Check: 8 × 8 + 2 = 66.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   97 ÷ 7 = 13 remainder 6
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   13 each and 6 left over
3. Write the answer. Give both parts, as the question asks.
   13 each, 6 left over

Check. Check: 13 × 7 + 6 = 97.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   61 ÷ 3 = 20 remainder 1
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   20 each and 1 left over
3. Write the answer. Give both parts, as the question asks.
   20 each, 1 left over

Check. Check: 20 × 3 + 1 = 61.

Watch out. The remainder is not shared. Say how many are left.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 31 children in buses of 9.
   31 ÷ 9 = 3 remainder 4
2. Decide what the remainder means. The children left over still need a bus, so round up.
   4 children left over need 1 more bus
3. Write the answer. Round up when the leftover people still need a place.
   4 buses

Check. Check: 4 buses hold 36 children, which is at least 31.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Round down when the remainder cannot make another full group.

1. Divide to find the full bags. Each full bag takes the number of sweets in it.
   87 ÷ 3 = 29
2. Decide what the remainder means. The sweets left over do not make a full bag, so round down.
   No sweets are left over
3. Write the answer. Only full bags count.
   29 full bags

Check. Check: 29 full bags hold 87 sweets, and 87 - 87 = 0.

Watch out. Round down when only full groups are wanted.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   35 ÷ 4 = 8 remainder 3
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   8 each and 3 left over
3. Write the answer. Give both parts, as the question asks.
   8 each, 3 left over

Check. Check: 8 × 4 + 3 = 35.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   88 ÷ 9 = 9 remainder 7
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   9 each and 7 left over
3. Write the answer. Give both parts, as the question asks.
   9 each, 7 left over

Check. Check: 9 × 9 + 7 = 88.

Watch out. The remainder is not shared. Say how many are left.

Method. Round down when the remainder cannot make another full group.

1. Divide to find the full bags. Each full bag takes the number of sweets in it.
   81 ÷ 3 = 27
2. Decide what the remainder means. The sweets left over do not make a full bag, so round down.
   No sweets are left over
3. Write the answer. Only full bags count.
   27 full bags

Check. Check: 27 full bags hold 81 sweets, and 81 - 81 = 0.

Watch out. Round down when only full groups are wanted.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 23 children in buses of 8.
   23 ÷ 8 = 2 remainder 7
2. Decide what the remainder means. The children left over still need a bus, so round up.
   7 children left over need 1 more bus
3. Write the answer. Round up when the leftover people still need a place.
   3 buses

Check. Check: 3 buses hold 24 children, which is at least 23.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Round down when the remainder cannot make another full group.

1. Divide to find the full bags. Each full bag takes the number of sweets in it.
   65 ÷ 6 = 10 remainder 5
2. Decide what the remainder means. The sweets left over do not make a full bag, so round down.
   5 sweets are left over
3. Write the answer. Only full bags count.
   10 full bags

Check. Check: 10 full bags hold 60 sweets, and 65 - 60 = 5.

Watch out. Round down when only full groups are wanted.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 69 children in buses of 3.
   69 ÷ 3 = 23
2. Decide what the remainder means. The children left over still need a bus, so round up.
   No children are left over
3. Write the answer. Round up when the leftover people still need a place.
   23 buses

Check. Check: 23 buses hold 69 children, which is at least 69.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   77 ÷ 9 = 8 remainder 5
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   8 each and 5 left over
3. Write the answer. Give both parts, as the question asks.
   8 each, 5 left over

Check. Check: 8 × 9 + 5 = 77.

Watch out. The remainder is not shared. Say how many are left.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 91 children in buses of 6.
   91 ÷ 6 = 15 remainder 1
2. Decide what the remainder means. The children left over still need a bus, so round up.
   1 children left over need 1 more bus
3. Write the answer. Round up when the leftover people still need a place.
   16 buses

Check. Check: 16 buses hold 96 children, which is at least 91.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   4 × 7 + 6 = 34
2. Compare with 41. The result must be 41, and the remainder must be smaller than 7.
   34 is not the same as 41; 6 is smaller than 7
3. Write Yes or No. Yes if the check works; No if it does not.
   No

Check. The correct answer is 5 remainder 6.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Find the multiple of the divisor that is just below the number. It tells you the whole number of groups.

1. Count in 5s. Keep counting until you go past 53.
   5, 10, ... up to 53
2. Find the largest multiple. It is the last multiple that is not more than the number.
   50 is not more than 53
3. Write the multiple. This is the number that helps you find the division.
   50

Check. Check: 10 × 5 = 50, and 50 is not more than 53.

Watch out. Do not pick the multiple just above the number; it is more than the number.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 7 are in 29. Use the times table of the divisor.
   4 groups of 7 = 28
2. Find what is left over. The remainder is the number left after the groups.
   29 - 28 = 1
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   4 × 7 + 1 = 28 + 1 = 29
4. Write the answer. This is the answer with its remainder.
   4 remainder 1

Check. Check: 4 × 7 + 1 = 29.

Watch out. If the check does not give the number you started with, divide again.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   16 × 3 + 0 = 48
2. Compare with 48. The result must be 48, and the remainder must be smaller than 3.
   48 is the same as 48; 0 is smaller than 3
3. Write Yes or No. Yes if the check works; No if it does not.
   Yes

Check. The correct answer is 16.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   21 × 4 + 0 = 84
2. Compare with 88. The result must be 88, and the remainder must be smaller than 4.
   84 is not the same as 88; 0 is smaller than 4
3. Write Yes or No. Yes if the check works; No if it does not.
   No

Check. The correct answer is 22.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 8 are in 22. Use the times table of the divisor.
   2 groups of 8 = 16
2. Find what is left over. The remainder is the number left after the groups.
   22 - 16 = 6
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   2 × 8 + 6 = 16 + 6 = 22
4. Write the answer. This is the answer with its remainder.
   2 remainder 6

Check. Check: 2 × 8 + 6 = 22.

Watch out. If the check does not give the number you started with, divide again.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 7 are in 38. Use the times table of the divisor.
   5 groups of 7 = 35
2. Find what is left over. The remainder is the number left after the groups.
   38 - 35 = 3
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   5 × 7 + 3 = 35 + 3 = 38
4. Write the answer. This is the answer with its remainder.
   5 remainder 3

Check. Check: 5 × 7 + 3 = 38.

Watch out. If the check does not give the number you started with, divide again.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   1 × 4 + 3 = 7
2. Compare with 10. The result must be 10, and the remainder must be smaller than 4.
   7 is not the same as 10; 3 is smaller than 4
3. Write Yes or No. Yes if the check works; No if it does not.
   No

Check. The correct answer is 2 remainder 2.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Find the multiple of the divisor that is just below the number. It tells you the whole number of groups.

1. Count in 3s. Keep counting until you go past 87.
   3, 6, ... up to 87
2. Find the largest multiple. It is the last multiple that is not more than the number.
   87 is not more than 87
3. Write the multiple. This is the number that helps you find the division.
   87

Check. Check: 29 × 3 = 87, and 87 is not more than 87.

Watch out. Do not pick the multiple just above the number; it is more than the number.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 2 are in 74. Use the times table of the divisor.
   37 groups of 2 = 74
2. Find what is left over. The remainder is the number left after the groups.
   74 - 74 = 0
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   37 × 2 + 0 = 74 + 0 = 74
4. Write the answer. This is the answer with its remainder.
   37

Check. Check: 37 × 2 + 0 = 74.

Watch out. If the check does not give the number you started with, divide again.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   12 × 8 + 2 = 98
2. Compare with 98. The result must be 98, and the remainder must be smaller than 8.
   98 is the same as 98; 2 is smaller than 8
3. Write Yes or No. Yes if the check works; No if it does not.
   Yes

Check. The correct answer is 12 remainder 2.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   11 × 6 + 4 = 70
2. Compare with 70. The result must be 70, and the remainder must be smaller than 6.
   70 is the same as 70; 4 is smaller than 6
3. Write Yes or No. Yes if the check works; No if it does not.
   Yes

Check. The correct answer is 11 remainder 4.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   11 × 9 + 7 = 106
2. Compare with 97. The result must be 97, and the remainder must be smaller than 9.
   106 is not the same as 97; 7 is smaller than 9
3. Write Yes or No. Yes if the check works; No if it does not.
   No

Check. The correct answer is 10 remainder 7.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 2 are in 56. Use the times table of the divisor.
   28 groups of 2 = 56
2. Find what is left over. The remainder is the number left after the groups.
   56 - 56 = 0
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   28 × 2 + 0 = 56 + 0 = 56
4. Write the answer. This is the answer with its remainder.
   28

Check. Check: 28 × 2 + 0 = 56.

Watch out. If the check does not give the number you started with, divide again.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   17 × 5 + 2 = 87
2. Compare with 82. The result must be 82, and the remainder must be smaller than 5.
   87 is not the same as 82; 2 is smaller than 5
3. Write Yes or No. Yes if the check works; No if it does not.
   No

Check. The correct answer is 16 remainder 2.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Check with multiplication and addition: groups × divisor + remainder must equal the number, and the remainder must be smaller than the divisor.

1. Multiply the whole number of groups by the divisor, then add the remainder. Check with multiplication and addition.
   14 × 3 + 2 = 44
2. Compare with 47. The result must be 47, and the remainder must be smaller than 3.
   44 is not the same as 47; 2 is smaller than 3
3. Write Yes or No. Yes if the check works; No if it does not.
   No

Check. The correct answer is 15 remainder 2.

Watch out. A remainder that is as big as the divisor means the answer is wrong. Find the mistake if the check does not work.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   70 ÷ 5 = 14
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   14 each and 0 left over
3. Write the answer. Give both parts, as the question asks.
   14 each, none left over

Check. Check: 14 × 5 + 0 = 70.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole pounds first; the remainder is what is left over.

1. Share the money into equal amounts. Each person gets the same whole pounds.
   £52 ÷ 7 = 7 remainder 3
2. Read the remainder. The remainder is the money left over.
   £3 left over
3. Write the answer. Give the amount each and the amount left.
   £7 each, £3 left over

Check. Check: 7 × 7 + 3 = 52.

Watch out. Keep the pound sign with each amount.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   85 ÷ 8 = 10 remainder 5
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   10 each and 5 left over
3. Write the answer. Give both parts, as the question asks.
   10 each, 5 left over

Check. Check: 10 × 8 + 5 = 85.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   18 ÷ 9 = 2
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   2 each and 0 left over
3. Write the answer. Give both parts, as the question asks.
   2 each, none left over

Check. Check: 2 × 9 + 0 = 18.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   79 ÷ 4 = 19 remainder 3
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   19 each and 3 left over
3. Write the answer. Give both parts, as the question asks.
   19 each, 3 left over

Check. Check: 19 × 4 + 3 = 79.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   59 ÷ 3 = 19 remainder 2
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   19 each and 2 left over
3. Write the answer. Give both parts, as the question asks.
   19 each, 2 left over

Check. Check: 19 × 3 + 2 = 59.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   29 ÷ 9 = 3 remainder 2
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   3 each and 2 left over
3. Write the answer. Give both parts, as the question asks.
   3 each, 2 left over

Check. Check: 3 × 9 + 2 = 29.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   28 ÷ 5 = 5 remainder 3
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   5 each and 3 left over
3. Write the answer. Give both parts, as the question asks.
   5 each, 3 left over

Check. Check: 5 × 5 + 3 = 28.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole pounds first; the remainder is what is left over.

1. Share the money into equal amounts. Each person gets the same whole pounds.
   £94 ÷ 9 = 10 remainder 4
2. Read the remainder. The remainder is the money left over.
   £4 left over
3. Write the answer. Give the amount each and the amount left.
   £10 each, £4 left over

Check. Check: 10 × 9 + 4 = 94.

Watch out. Keep the pound sign with each amount.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   76 ÷ 5 = 15 remainder 1
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   15 each and 1 left over
3. Write the answer. Give both parts, as the question asks.
   15 each, 1 left over

Check. Check: 15 × 5 + 1 = 76.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   24 ÷ 9 = 2 remainder 6
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   2 each and 6 left over
3. Write the answer. Give both parts, as the question asks.
   2 each, 6 left over

Check. Check: 2 × 9 + 6 = 24.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole pounds first; the remainder is what is left over.

1. Share the money into equal amounts. Each person gets the same whole pounds.
   £12 ÷ 8 = 1 remainder 4
2. Read the remainder. The remainder is the money left over.
   £4 left over
3. Write the answer. Give the amount each and the amount left.
   £1 each, £4 left over

Check. Check: 1 × 8 + 4 = 12.

Watch out. Keep the pound sign with each amount.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   94 ÷ 3 = 31 remainder 1
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   31 each and 1 left over
3. Write the answer. Give both parts, as the question asks.
   31 each, 1 left over

Check. Check: 31 × 3 + 1 = 94.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   20 ÷ 6 = 3 remainder 2
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   3 each and 2 left over
3. Write the answer. Give both parts, as the question asks.
   3 each, 2 left over

Check. Check: 3 × 6 + 2 = 20.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole pounds first; the remainder is what is left over.

1. Share the money into equal amounts. Each person gets the same whole pounds.
   £79 ÷ 3 = 26 remainder 1
2. Read the remainder. The remainder is the money left over.
   £1 left over
3. Write the answer. Give the amount each and the amount left.
   £26 each, £1 left over

Check. Check: 26 × 3 + 1 = 79.

Watch out. Keep the pound sign with each amount.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   76 ÷ 4 = 19
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   19 each and 0 left over
3. Write the answer. Give both parts, as the question asks.
   19 each, none left over

Check. Check: 19 × 4 + 0 = 76.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   20 ÷ 6 = 3 remainder 2
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   3 each and 2 left over
3. Write the answer. Give both parts, as the question asks.
   3 each, 2 left over

Check. Check: 3 × 6 + 2 = 20.

Watch out. The remainder is not shared. Say how many are left.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 6 tens cannot make a group of 8 on their own, so use all of 64.
   64 is the number to share
2. Share 64 into groups of 8. How many groups of 8 are in 64?
   64 ÷ 8 = 8 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   8

Check. Check: 8 × 8 + 0 = 64.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 8 tens into groups of 3.
   8 ÷ 3 = 2 r 2
2. Bring down the ones. The tens left over become ten ones each.
   2 tens and 1 ones = 21
3. Share 21 into groups of 3. How many groups of 3 are in 21?
   21 ÷ 3 = 7 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   27

Check. Check: 27 × 3 + 0 = 81.

Watch out. The remainder must be smaller than the number you divide by.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   93 ÷ 5 = 18 remainder 3
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   18 each and 3 left over
3. Write the answer. Give both parts, as the question asks.
   18 each, 3 left over

Check. Check: 18 × 5 + 3 = 93.

Watch out. The remainder is not shared. Say how many are left.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 5 tens cannot make a group of 9 on their own, so use all of 54.
   54 is the number to share
2. Share 54 into groups of 9. How many groups of 9 are in 54?
   54 ÷ 9 = 6 r 0
3. Write the answer. The remainder is what is left over; write it after the answer.
   6

Check. Check: 6 × 9 + 0 = 54.

Watch out. The remainder must be smaller than the number you divide by.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. Share the tens. Share the 4 tens into groups of 2.
   4 ÷ 2 = 2 r 0
2. Bring down the ones. The tens left over become ten ones each.
   0 tens and 2 ones = 2
3. Share 2 into groups of 2. How many groups of 2 are in 2?
   2 ÷ 2 = 1 r 0
4. Write the answer. The remainder is what is left over; write it after the answer.
   21

Check. Check: 21 × 2 + 0 = 42.

Watch out. The remainder must be smaller than the number you divide by.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 3 are in 74. Use the times table of the divisor.
   24 groups of 3 = 72
2. Find what is left over. The remainder is the number left after the groups.
   74 - 72 = 2
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   24 × 3 + 2 = 72 + 2 = 74
4. Write the answer. This is the answer with its remainder.
   24 remainder 2

Check. Check: 24 × 3 + 2 = 74.

Watch out. If the check does not give the number you started with, divide again.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 94 children in buses of 9.
   94 ÷ 9 = 10 remainder 4
2. Decide what the remainder means. The children left over still need a bus, so round up.
   4 children left over need 1 more bus
3. Write the answer. Round up when the leftover people still need a place.
   11 buses

Check. Check: 11 buses hold 99 children, which is at least 94.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Share the whole pounds first; the remainder is what is left over.

1. Share the money into equal amounts. Each person gets the same whole pounds.
   £51 ÷ 5 = 10 remainder 1
2. Read the remainder. The remainder is the money left over.
   £1 left over
3. Write the answer. Give the amount each and the amount left.
   £10 each, £1 left over

Check. Check: 10 × 5 + 1 = 51.

Watch out. Keep the pound sign with each amount.

Method. Find the multiple of the divisor that is just below the number. It tells you the whole number of groups.

1. Count in 9s. Keep counting until you go past 72.
   9, 18, ... up to 72
2. Find the largest multiple. It is the last multiple that is not more than the number.
   72 is not more than 72
3. Write the multiple. This is the number that helps you find the division.
   72

Check. Check: 8 × 9 = 72, and 72 is not more than 72.

Watch out. Do not pick the multiple just above the number; it is more than the number.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 8 are in 60. Use the times table of the divisor.
   7 groups of 8 = 56
2. Find what is left over. The remainder is the number left after the groups.
   60 - 56 = 4
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   7 × 8 + 4 = 56 + 4 = 60
4. Write the answer. This is the answer with its remainder.
   7 remainder 4

Check. Check: 7 × 8 + 4 = 60.

Watch out. If the check does not give the number you started with, divide again.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   77 ÷ 6 = 12 remainder 5
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   12 each and 5 left over
3. Write the answer. Give both parts, as the question asks.
   12 each, 5 left over

Check. Check: 12 × 6 + 5 = 77.

Watch out. The remainder is not shared. Say how many are left.

Method. Share the whole pounds first; the remainder is what is left over.

1. Share the money into equal amounts. Each person gets the same whole pounds.
   £47 ÷ 5 = 9 remainder 2
2. Read the remainder. The remainder is the money left over.
   £2 left over
3. Write the answer. Give the amount each and the amount left.
   £9 each, £2 left over

Check. Check: 9 × 5 + 2 = 47.

Watch out. Keep the pound sign with each amount.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   87 ÷ 5 = 17 remainder 2
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   17 each and 2 left over
3. Write the answer. Give both parts, as the question asks.
   17 each, 2 left over

Check. Check: 17 × 5 + 2 = 87.

Watch out. The remainder is not shared. Say how many are left.

Method. Round up when the remainder still needs one more group.

1. Divide to find the full buses and what is left. 48 children in buses of 3.
   48 ÷ 3 = 16
2. Decide what the remainder means. The children left over still need a bus, so round up.
   No children are left over
3. Write the answer. Round up when the leftover people still need a place.
   16 buses

Check. Check: 16 buses hold 48 children, which is at least 48.

Watch out. Round up when the leftover still needs a place. Do not give the answer with a remainder.

Method. Share the whole number first; the remainder is what is left over.

1. Share the pencils into equal groups. Each child gets the same number.
   81 ÷ 3 = 27
2. Read the answer and the remainder. The whole number is each share; the remainder is left over.
   27 each and 0 left over
3. Write the answer. Give both parts, as the question asks.
   27 each, none left over

Check. Check: 27 × 3 + 0 = 81.

Watch out. The remainder is not shared. Say how many are left.

Method. Use the short method. Share the tens first, then the ones with what is left.

1. The tens are fewer than the number of groups. 7 tens cannot make a group of 8 on their own, so use all of 70.
   70 is the number to share
2. Share 70 into groups of 8. How many groups of 8 are in 70?
   70 ÷ 8 = 8 r 6
3. Write the answer. The remainder is what is left over; write it after the answer.
   8 remainder 6

Check. Check: 8 × 8 + 6 = 70.

Watch out. The remainder must be smaller than the number you divide by.

Method. Divide, then check: answer × divisor + remainder = the number we started with.

1. Find how many groups of 3 are in 65. Use the times table of the divisor.
   21 groups of 3 = 63
2. Find what is left over. The remainder is the number left after the groups.
   65 - 63 = 2
3. Check with multiplication and addition. Multiply the answer by the divisor, then add the remainder.
   21 × 3 + 2 = 63 + 2 = 65
4. Write the answer. This is the answer with its remainder.
   21 remainder 2

Check. Check: 21 × 3 + 2 = 65.

Watch out. If the check does not give the number you started with, divide again.

Method. Round down when the remainder cannot make another full group.

1. Divide to find the full bags. Each full bag takes the number of sweets in it.
   43 ÷ 4 = 10 remainder 3
2. Decide what the remainder means. The sweets left over do not make a full bag, so round down.
   3 sweets are left over
3. Write the answer. Only full bags count.
   10 full bags

Check. Check: 10 full bags hold 40 sweets, and 43 - 40 = 3.

Watch out. Round down when only full groups are wanted.

Method. Round down when the remainder cannot make another full group.

1. Divide to find the full bags. Each full bag takes the number of sweets in it.
   39 ÷ 5 = 7 remainder 4
2. Decide what the remainder means. The sweets left over do not make a full bag, so round down.
   4 sweets are left over
3. Write the answer. Only full bags count.
   7 full bags

Check. Check: 7 full bags hold 35 sweets, and 39 - 35 = 4.

Watch out. Round down when only full groups are wanted.