Year 4: Division with remainders

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   4	2	9

2. Divide the tens. Always start on the left, with the biggest place value.
   2 ÷ 4: 2 is smaller than 4, so we cannot make a whole ten for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 2 tens for 20 ones and carry them to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 ones. With the 9 ones there are 20 + 9 = 29 ones.
   29 ÷ 4: 7 × 4 = 28, and 29 − 28 = 1. Write 7 above the 9.
   The remainder is 1.
4. Read the answer. Ignore any 0 at the front of the answer.

   	0	7	r 1
   4	2	29

   
   29 ÷ 4 = 7 remainder 1

Check. Multiply back: 7 × 4 = 28
28 + 1 (the remainder) = 29. ✓

Watch out. The first digit is smaller than 4: write 0 and carry it. The remainder is always smaller than 4.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   5	4	7

2. Divide the tens. Always start on the left, with the biggest place value.
   4 ÷ 5: 4 is smaller than 5, so we cannot make a whole ten for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 4 tens for 40 ones and carry them to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 4 that was carried.
   The carried 4 makes 40 ones. With the 7 ones there are 40 + 7 = 47 ones.
   47 ÷ 5: 9 × 5 = 45, and 47 − 45 = 2. Write 9 above the 7.
   The remainder is 2.
4. Read the answer. Ignore any 0 at the front of the answer.

   	0	9	r 2
   5	4	47

   
   47 ÷ 5 = 9 remainder 2

Check. Multiply back: 9 × 5 = 45
45 + 2 (the remainder) = 47. ✓

Watch out. The first digit is smaller than 5: write 0 and carry it. The remainder is always smaller than 5.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   6	3	8

2. Divide the tens. Always start on the left, with the biggest place value.
   3 ÷ 6: 3 is smaller than 6, so we cannot make a whole ten for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 3 tens for 30 ones and carry them to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 3 that was carried.
   The carried 3 makes 30 ones. With the 8 ones there are 30 + 8 = 38 ones.
   38 ÷ 6: 6 × 6 = 36, and 38 − 36 = 2. Write 6 above the 8.
   The remainder is 2.
4. Read the answer. Ignore any 0 at the front of the answer.

   	0	6	r 2
   6	3	38

   
   38 ÷ 6 = 6 remainder 2

Check. Multiply back: 6 × 6 = 36
36 + 2 (the remainder) = 38. ✓

Watch out. The first digit is smaller than 6: write 0 and carry it. The remainder is always smaller than 6.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   8	5	9

2. Divide the tens. Always start on the left, with the biggest place value.
   5 ÷ 8: 5 is smaller than 8, so we cannot make a whole ten for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 5 tens for 50 ones and carry them to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 5 that was carried.
   The carried 5 makes 50 ones. With the 9 ones there are 50 + 9 = 59 ones.
   59 ÷ 8: 7 × 8 = 56, and 59 − 56 = 3. Write 7 above the 9.
   The remainder is 3.
4. Read the answer. Ignore any 0 at the front of the answer.

   	0	7	r 3
   8	5	59

   
   59 ÷ 8 = 7 remainder 3

Check. Multiply back: 7 × 8 = 56
56 + 3 (the remainder) = 59. ✓

Watch out. The first digit is smaller than 8: write 0 and carry it. The remainder is always smaller than 8.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   7	7	3

2. Divide the tens. Always start on the left, with the biggest place value.
   7 ÷ 7 = 1
   Write 1 above the 7.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 3 ones.
   3 ÷ 7: 3 is smaller than 7, so write 0.
   The remainder is 3.
4. Read the answer. Read the digits above the line from left to right.

   	1	0	r 3
   7	7	3

   
   73 ÷ 7 = 10 remainder 3

Check. Multiply back: 10 × 7 = 70
70 + 3 (the remainder) = 73. ✓

Watch out. The remainder must always be smaller than the number you divide by (7). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   9	9	5

2. Divide the tens. Always start on the left, with the biggest place value.
   9 ÷ 9 = 1
   Write 1 above the 9.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 5 ones.
   5 ÷ 9: 5 is smaller than 9, so write 0.
   The remainder is 5.
4. Read the answer. Read the digits above the line from left to right.

   	1	0	r 5
   9	9	5

   
   95 ÷ 9 = 10 remainder 5

Check. Multiply back: 10 × 9 = 90
90 + 5 (the remainder) = 95. ✓

Watch out. The remainder must always be smaller than the number you divide by (9). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   6	8	3

2. Divide the tens. Always start on the left, with the biggest place value.
   8 ÷ 6 = 1, remainder 2
   Write 1 above the 8.
   Exchange the remainder: 2 tens become 20 ones. Carry 2 to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 ones. With the 3 ones there are 20 + 3 = 23 ones.
   23 ÷ 6: 3 × 6 = 18, and 23 − 18 = 5. Write 3 above the 3.
   The remainder is 5.
4. Read the answer. Read the digits above the line from left to right.

   	1	3	r 5
   6	8	23

   
   83 ÷ 6 = 13 remainder 5

Check. Multiply back: 13 × 6 = 10 × 6 + 3 × 6 = 60 + 18 = 78
78 + 5 (the remainder) = 83. ✓

Watch out. The remainder must always be smaller than the number you divide by (6). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   4	9	1

2. Divide the tens. Always start on the left, with the biggest place value.
   9 ÷ 4 = 2, remainder 1
   Write 2 above the 9.
   Exchange the remainder: 1 ten becomes 10 ones. Carry 1 to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 1 that was carried.
   The carried 1 makes 10 ones. With the 1 ones there are 10 + 1 = 11 ones.
   11 ÷ 4: 2 × 4 = 8, and 11 − 8 = 3. Write 2 above the 1.
   The remainder is 3.
4. Read the answer. Read the digits above the line from left to right.

   	2	2	r 3
   4	9	11

   
   91 ÷ 4 = 22 remainder 3

Check. Multiply back: 22 × 4 = 20 × 4 + 2 × 4 = 80 + 8 = 88
88 + 3 (the remainder) = 91. ✓

Watch out. The remainder must always be smaller than the number you divide by (4). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   8	7	5

2. Divide the tens. Always start on the left, with the biggest place value.
   7 ÷ 8: 7 is smaller than 8, so we cannot make a whole ten for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 7 tens for 70 ones and carry them to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 7 that was carried.
   The carried 7 makes 70 ones. With the 5 ones there are 70 + 5 = 75 ones.
   75 ÷ 8: 9 × 8 = 72, and 75 − 72 = 3. Write 9 above the 5.
   The remainder is 3.
4. Read the answer. Ignore any 0 at the front of the answer.

   	0	9	r 3
   8	7	75

   
   75 ÷ 8 = 9 remainder 3

Check. Multiply back: 9 × 8 = 72
72 + 3 (the remainder) = 75. ✓

Watch out. The first digit is smaller than 8: write 0 and carry it. The remainder is always smaller than 8.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   3	6	8

2. Divide the tens. Always start on the left, with the biggest place value.
   6 ÷ 3 = 2
   Write 2 above the 6.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 8 ones.
   8 ÷ 3: 2 × 3 = 6, and 8 − 6 = 2. Write 2 above the 8.
   The remainder is 2.
4. Read the answer. Read the digits above the line from left to right.

   	2	2	r 2
   3	6	8

   
   68 ÷ 3 = 22 remainder 2

Check. Multiply back: 22 × 3 = 20 × 3 + 2 × 3 = 60 + 6 = 66
66 + 2 (the remainder) = 68. ✓

Watch out. The remainder must always be smaller than the number you divide by (3). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   7	9	7

2. Divide the tens. Always start on the left, with the biggest place value.
   9 ÷ 7 = 1, remainder 2
   Write 1 above the 9.
   Exchange the remainder: 2 tens become 20 ones. Carry 2 to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 ones. With the 7 ones there are 20 + 7 = 27 ones.
   27 ÷ 7: 3 × 7 = 21, and 27 − 21 = 6. Write 3 above the 7.
   The remainder is 6.
4. Read the answer. Read the digits above the line from left to right.

   	1	3	r 6
   7	9	27

   
   97 ÷ 7 = 13 remainder 6

Check. Multiply back: 13 × 7 = 10 × 7 + 3 × 7 = 70 + 21 = 91
91 + 6 (the remainder) = 97. ✓

Watch out. The remainder must always be smaller than the number you divide by (7). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   3	5	2

2. Divide the tens. Always start on the left, with the biggest place value.
   5 ÷ 3 = 1, remainder 2
   Write 1 above the 5.
   Exchange the remainder: 2 tens become 20 ones. Carry 2 to the next digit.
3. Divide the ones. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 ones. With the 2 ones there are 20 + 2 = 22 ones.
   22 ÷ 3: 7 × 3 = 21, and 22 − 21 = 1. Write 7 above the 2.
   The remainder is 1.
4. Read the answer. Read the digits above the line from left to right.

   	1	7	r 1
   3	5	22

   
   52 ÷ 3 = 17 remainder 1

Check. Multiply back: 17 × 3 = 10 × 3 + 7 × 3 = 30 + 21 = 51
51 + 1 (the remainder) = 52. ✓

Watch out. The remainder must always be smaller than the number you divide by (3). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   4	2	5	8

2. Divide the hundreds. Always start on the left, with the biggest place value.
   2 ÷ 4: 2 is smaller than 4, so we cannot make a whole hundred for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 2 hundreds for 20 tens and carry them to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 tens. With the 5 tens there are 20 + 5 = 25 tens.
   25 ÷ 4: 6 × 4 = 24, and 25 − 24 = 1. Write 6 above the 5.
   Carry the remainder 1 to the next digit.
4. Divide the ones. Move to the next digit on the right. Add the 1 that was carried.
   The carried 1 makes 10 ones. With the 8 ones there are 10 + 8 = 18 ones.
   18 ÷ 4: 4 × 4 = 16, and 18 − 16 = 2. Write 4 above the 8.
   The remainder is 2.
5. Read the answer. Ignore any 0 at the front of the answer.

   	0	6	4	r 2
   4	2	25	18

   
   258 ÷ 4 = 64 remainder 2

Check. Multiply back: 64 × 4 = 60 × 4 + 4 × 4 = 240 + 16 = 256
256 + 2 (the remainder) = 258. ✓

Watch out. The first digit is smaller than 4: write 0 and carry it. The remainder is always smaller than 4.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   6	4	8	5

2. Divide the hundreds. Always start on the left, with the biggest place value.
   4 ÷ 6: 4 is smaller than 6, so we cannot make a whole hundred for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 4 hundreds for 40 tens and carry them to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 4 that was carried.
   The carried 4 makes 40 tens. With the 8 tens there are 40 + 8 = 48 tens.
   48 ÷ 6: 8 × 6 = 48. Write 8 above the 8.
4. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 5 ones.
   5 ÷ 6: 5 is smaller than 6, so write 0.
   The remainder is 5.
5. Read the answer. Ignore any 0 at the front of the answer.

   	0	8	0	r 5
   6	4	48	5

   
   485 ÷ 6 = 80 remainder 5

Check. Multiply back: 80 × 6 = 480
480 + 5 (the remainder) = 485. ✓

Watch out. The first digit is smaller than 6: write 0 and carry it. The remainder is always smaller than 6.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   5	7	3	1

2. Divide the hundreds. Always start on the left, with the biggest place value.
   7 ÷ 5 = 1, remainder 2
   Write 1 above the 7.
   Exchange the remainder: 2 hundreds become 20 tens. Carry 2 to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 tens. With the 3 tens there are 20 + 3 = 23 tens.
   23 ÷ 5: 4 × 5 = 20, and 23 − 20 = 3. Write 4 above the 3.
   Carry the remainder 3 to the next digit.
4. Divide the ones. Move to the next digit on the right. Add the 3 that was carried.
   The carried 3 makes 30 ones. With the 1 ones there are 30 + 1 = 31 ones.
   31 ÷ 5: 6 × 5 = 30, and 31 − 30 = 1. Write 6 above the 1.
   The remainder is 1.
5. Read the answer. Read the digits above the line from left to right.

   	1	4	6	r 1
   5	7	23	31

   
   731 ÷ 5 = 146 remainder 1

Check. Multiply back: 146 × 5 = 100 × 5 + 40 × 5 + 6 × 5 = 500 + 200 + 30 = 730
730 + 1 (the remainder) = 731. ✓

Watch out. The remainder must always be smaller than the number you divide by (5). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   7	9	6	2

2. Divide the hundreds. Always start on the left, with the biggest place value.
   9 ÷ 7 = 1, remainder 2
   Write 1 above the 9.
   Exchange the remainder: 2 hundreds become 20 tens. Carry 2 to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 tens. With the 6 tens there are 20 + 6 = 26 tens.
   26 ÷ 7: 3 × 7 = 21, and 26 − 21 = 5. Write 3 above the 6.
   Carry the remainder 5 to the next digit.
4. Divide the ones. Move to the next digit on the right. Add the 5 that was carried.
   The carried 5 makes 50 ones. With the 2 ones there are 50 + 2 = 52 ones.
   52 ÷ 7: 7 × 7 = 49, and 52 − 49 = 3. Write 7 above the 2.
   The remainder is 3.
5. Read the answer. Read the digits above the line from left to right.

   	1	3	7	r 3
   7	9	26	52

   
   962 ÷ 7 = 137 remainder 3

Check. Multiply back: 137 × 7 = 100 × 7 + 30 × 7 + 7 × 7 = 700 + 210 + 49 = 959
959 + 3 (the remainder) = 962. ✓

Watch out. The remainder must always be smaller than the number you divide by (7). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   3	3	5	8

2. Divide the hundreds. Always start on the left, with the biggest place value.
   3 ÷ 3 = 1
   Write 1 above the 3.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 5 tens.
   5 ÷ 3: 1 × 3 = 3, and 5 − 3 = 2. Write 1 above the 5.
   Carry the remainder 2 to the next digit.
4. Divide the ones. Move to the next digit on the right. Add the 2 that was carried.
   The carried 2 makes 20 ones. With the 8 ones there are 20 + 8 = 28 ones.
   28 ÷ 3: 9 × 3 = 27, and 28 − 27 = 1. Write 9 above the 8.
   The remainder is 1.
5. Read the answer. Read the digits above the line from left to right.

   	1	1	9	r 1
   3	3	5	28

   
   358 ÷ 3 = 119 remainder 1

Check. Multiply back: 119 × 3 = 100 × 3 + 10 × 3 + 9 × 3 = 300 + 30 + 27 = 357
357 + 1 (the remainder) = 358. ✓

Watch out. The remainder must always be smaller than the number you divide by (3). If it is not, you can divide again.

Key words. Short division (the bus stop method) is a written way to divide. The number you divide goes inside the bus stop and the number you divide by goes outside. A remainder is what is left over when a number does not divide exactly.

Method. Draw the bus stop. Divide one digit at a time, starting on the left. If there is a remainder, carry it to the next digit as extra ones, tens or hundreds.

1. Draw the bus stop. The number we are dividing goes inside. The number we divide by goes outside, on the left.

   8	5	7	0

2. Divide the hundreds. Always start on the left, with the biggest place value.
   5 ÷ 8: 5 is smaller than 8, so we cannot make a whole hundred for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 5 hundreds for 50 tens and carry them to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 5 that was carried.
   The carried 5 makes 50 tens. With the 7 tens there are 50 + 7 = 57 tens.
   57 ÷ 8: 7 × 8 = 56, and 57 − 56 = 1. Write 7 above the 7.
   Carry the remainder 1 to the next digit.
4. Divide the ones. Move to the next digit on the right. Add the 1 that was carried.
   The carried 1 makes 10 ones. With the 0 ones there are 10 + 0 = 10 ones.
   10 ÷ 8: 1 × 8 = 8, and 10 − 8 = 2. Write 1 above the 0.
   The remainder is 2.
5. Read the answer. Ignore any 0 at the front of the answer.

   	0	7	1	r 2
   8	5	57	10

   
   570 ÷ 8 = 71 remainder 2

Check. Multiply back: 71 × 8 = 70 × 8 + 1 × 8 = 560 + 8 = 568
568 + 2 (the remainder) = 570. ✓

Watch out. The first digit is smaller than 8: write 0 and carry it. The remainder is always smaller than 8.

Method. A division with a remainder can be checked with multiplication: (answer × divisor) + remainder = the number you started with.

1. Multiply the answer by the divisor. 9 lots of 5 make the biggest multiple of 5 that fits into 47.
   9 × 5 = 45
2. Take it away from the number. What is left over is the remainder.
   47 − 45 = 2
3. Check the remainder is small enough. A remainder must be smaller than 5.
   2 is smaller than 5. ✓

Check. 9 × 5 + 2 = 45 + 2 = 47. ✓

Watch out. Check the remainder is smaller than the divisor.

Method. A division with a remainder can be checked with multiplication: (answer × divisor) + remainder = the number you started with.

1. Multiply the answer by the divisor. 7 lots of 8 make the biggest multiple of 8 that fits into 62.
   7 × 8 = 56
2. Take it away from the number. What is left over is the remainder.
   62 − 56 = 6
3. Check the remainder is small enough. A remainder must be smaller than 8.
   6 is smaller than 8. ✓

Check. 7 × 8 + 6 = 56 + 6 = 62. ✓

Watch out. Check the remainder is smaller than the divisor.

Method. A division with a remainder can be checked with multiplication: (answer × divisor) + remainder = the number you started with.

1. Take the remainder away from the number. The remainder is the part that does not fit into groups of 6. What is left divides exactly.
   53 − 5 = 48
2. Divide what is left by 6. Use a times table fact or the bus stop method.
   48 ÷ 6 = 8
3. Check.
   8 × 6 = 48
   48 + 5 (the remainder) = 53

Check. 8 × 6 + 5 = 48 + 5 = 53. ✓

Watch out. Check the remainder is smaller than the divisor.

Method. A division with a remainder can be checked with multiplication: (answer × divisor) + remainder = the number you started with.

1. Take the remainder away from the number. The remainder is the part that does not fit into groups of 9. What is left divides exactly.
   79 − 7 = 72
2. Divide what is left by 9. Use a times table fact or the bus stop method.
   72 ÷ 9 = 8
3. Check.
   8 × 9 = 72
   72 + 7 (the remainder) = 79

Check. 8 × 9 + 7 = 72 + 7 = 79. ✓

Watch out. Check the remainder is smaller than the divisor.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 53 into equal groups of 6, so we divide.
   53 ÷ 6
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   53 ÷ 6 = 8 remainder 5
   

   	0	8	r 5
   6	5	53

3. Decide what the remainder means. The question asks how many are LEFT OVER, so the answer is the remainder.
   remainder = 5
4. Write the answer. Answer the question that was asked.
   There are 5 crayons left over.

Check. Multiply back: 8 × 6 = 48, and 48 + 5 = 53. ✓

Watch out. The answer is the remainder, not the number you get when you divide.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 100 into equal groups of 7, so we divide.
   100 ÷ 7
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   100 ÷ 7 = 14 remainder 2
   

   	0	1	4	r 2
   7	1	10	30

3. Decide what the remainder means. The question asks how many are LEFT OVER, so the answer is the remainder.
   remainder = 2
4. Write the answer. Answer the question that was asked.
   There are 2 marbles left over.

Check. Multiply back: 14 × 7 = 98, and 98 + 2 = 100. ✓

Watch out. The answer is the remainder, not the number you get when you divide.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 85 into equal groups of 9, so we divide.
   85 ÷ 9
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   85 ÷ 9 = 9 remainder 4
   

   	0	9	r 4
   9	8	85

3. Decide what the remainder means. The question asks how many are LEFT OVER, so the answer is the remainder.
   remainder = 4
4. Write the answer. Answer the question that was asked.
   There are 4 children left over.

Check. Multiply back: 9 × 9 = 81, and 81 + 4 = 85. ✓

Watch out. The answer is the remainder, not the number you get when you divide.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 75 into equal groups of 8, so we divide.
   75 ÷ 8
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   75 ÷ 8 = 9 remainder 3
   

   	0	9	r 3
   8	7	75

3. Decide what the remainder means. The question asks how many FULL groups there are. The remainder does not make a full group, so we ignore it.
   9 boxes and 3 buns left over. We only count the whole ones: 9.
4. Write the answer. Answer the question that was asked.
   9 boxes.

Check. Multiply back: 9 × 8 = 72, and 72 + 3 = 75. ✓

Watch out. The remainder is not a full group. Do not add 1 here: that is only for when everything must fit.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 90 into equal groups of 7, so we divide.
   90 ÷ 7
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   90 ÷ 7 = 12 remainder 6
   

   	1	2	r 6
   7	9	20

3. Decide what the remainder means. The question asks how many FULL groups there are. The remainder does not make a full group, so we ignore it.
   12 pieces and 6 cm left over. We only count the whole ones: 12.
4. Write the answer. Answer the question that was asked.
   12 pieces.

Check. Multiply back: 12 × 7 = 84, and 84 + 6 = 90. ✓

Watch out. The remainder is not a full group. Do not add 1 here: that is only for when everything must fit.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 100 into equal groups of 9, so we divide.
   100 ÷ 9
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   100 ÷ 9 = 11 remainder 1
   

   	0	1	1	r 1
   9	1	10	10

3. Decide what the remainder means. The question asks how many FULL groups there are. The remainder does not make a full group, so we ignore it.
   11 tickets and 1 pounds left over. We only count the whole ones: 11.
4. Write the answer. Answer the question that was asked.
   11 tickets.

Check. Multiply back: 11 × 9 = 99, and 99 + 1 = 100. ✓

Watch out. The remainder is not a full group. Do not add 1 here: that is only for when everything must fit.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 70 into equal groups of 4, so we divide.
   70 ÷ 4
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   70 ÷ 4 = 17 remainder 2
   

   	1	7	r 2
   4	7	30

3. Decide what the remainder means. Every one must be in a group. The remainder still needs a group of its own, so we need one more group. We round UP.
   17 cars are full. The last 2 children need another one: 17 + 1 = 18
4. Write the answer. Answer the question that was asked.
   18 cars.

Check. Multiply back: 17 × 4 = 68, and 68 + 2 = 70. ✓

Watch out. Do not forget the leftovers. They still need somewhere to go, so we round up, not down.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 100 into equal groups of 6, so we divide.
   100 ÷ 6
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   100 ÷ 6 = 16 remainder 4
   

   	0	1	6	r 4
   6	1	10	40

3. Decide what the remainder means. Every one must be in a group. The remainder still needs a group of its own, so we need one more group. We round UP.
   16 tables are full. The last 4 guests need another one: 16 + 1 = 17
4. Write the answer. Answer the question that was asked.
   17 tables.

Check. Multiply back: 16 × 6 = 96, and 96 + 4 = 100. ✓

Watch out. Do not forget the leftovers. They still need somewhere to go, so we round up, not down.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 130 into equal groups of 8, so we divide.
   130 ÷ 8
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   130 ÷ 8 = 16 remainder 2
   

   	0	1	6	r 2
   8	1	13	50

3. Decide what the remainder means. Every one must be in a group. The remainder still needs a group of its own, so we need one more group. We round UP.
   16 days are full. The last 2 pages need another one: 16 + 1 = 17
4. Write the answer. Answer the question that was asked.
   17 days.

Check. Multiply back: 16 × 8 = 128, and 128 + 2 = 130. ✓

Watch out. Do not forget the leftovers. They still need somewhere to go, so we round up, not down.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 47 into equal groups of 6, so we divide.
   47 ÷ 6
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   47 ÷ 6 = 7 remainder 5
   

   	0	7	r 5
   6	4	47

3. Decide what the remainder means. The items are shared equally. The remainder is what cannot be shared out, so it is left over.
   7 each, remainder 5
4. Write the answer. Answer the question that was asked.
   Each gets 7 and 5 sweets are left over.

Check. Multiply back: 7 × 6 = 42, and 42 + 5 = 47. ✓

Watch out. Write both parts: how many each, and how many are left over.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 83 into equal groups of 4, so we divide.
   83 ÷ 4
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   83 ÷ 4 = 20 remainder 3
   

   	2	0	r 3
   4	8	3

3. Decide what the remainder means. The items are shared equally. The remainder is what cannot be shared out, so it is left over.
   20 each, remainder 3
4. Write the answer. Answer the question that was asked.
   Each gets 20 and 3 cards are left over.

Check. Multiply back: 20 × 4 = 80, and 80 + 3 = 83. ✓

Watch out. Write both parts: how many each, and how many are left over.

Key words. A remainder is what is left over after you divide. What you do with it depends on the story: ignore it, round up, or say how many are left over.

Method. Divide to find how many groups of the number fit. Then think about what the remainder means in the story.

1. Choose the operation. We are putting 95 into equal groups of 9, so we divide.
   95 ÷ 9
2. Work it out with the bus stop. Divide one digit at a time and keep the remainder.
   95 ÷ 9 = 10 remainder 5
   

   	1	0	r 5
   9	9	5

3. Decide what the remainder means. The items are shared equally. The remainder is what cannot be shared out, so it is left over.
   10 each, remainder 5
4. Write the answer. Answer the question that was asked.
   Each gets 10 and 5 marbles are left over.

Check. Multiply back: 10 × 9 = 90, and 90 + 5 = 95. ✓

Watch out. Write both parts: how many each, and how many are left over.

Method. The remainder must be smaller than 5. Think about the leftovers after making groups of 5.

1. Try the numbers after a multiple of 5. 20 is a multiple of 5. Divide the numbers after it by 5.
   20 ÷ 5 = 4 remainder 0
   21 ÷ 5 = 4 remainder 1
   22 ÷ 5 = 4 remainder 2
   23 ÷ 5 = 4 remainder 3
   24 ÷ 5 = 4 remainder 4
2. Look at what happens next. 25 is the next multiple of 5, so the pattern starts again.
   25 ÷ 5 = 5 remainder 0
3. Write the remainders.
   0, 1, 2, 3 or 4

Check. There are 5 possible remainders. We cannot have a remainder of 5 because that would make another group. ✓

Watch out. The remainder is always smaller than the number you divide by.

Method. The remainder is what is left after making as many groups of 5 as you can. Think about whether 6 could be left.

1. Look at the remainder. The remainder is 6, and 6 is more than 5.
   6 > 5
2. Say what would happen. With 6 left over, another group of 5 could be made. Then only 1 would be left over.
   6 = 5 + 1, so there is one more group and the remainder is 1
3. Answer.
   A remainder must always be smaller than the number you divide by, so 6 is too big.

Check. For example, 36 ÷ 5 is 7 remainder 1, not 6 remainder 6. ✓

Watch out. If your remainder is as big as the divisor, you stopped dividing too soon.