Year 4: Dividing with place value and short division

Key words. A known fact is a fact you can already recall. A derived fact is a new fact you work out from a known fact.

Method. Use the fact you know, 42 ÷ 7 = 6, and place value. 420 is 42 tens, so the answer is 6 tens.

1. Spot the fact you know. Take away the zeros and look at the digits that are left.
   42 ÷ 7 = 6
2. Say the big number in tens. 420 is 42 tens.
   420 = 42 tens
3. Divide, using the known fact. 42 tens ÷ 7 = 6 tens, because 42 ÷ 7 = 6.
   42 ÷ 7 = 6, so 42 tens ÷ 7 = 6 tens
4. Change 6 tens back to a number. Put the zeros back.
   6 tens = 60
5. Write the answer.
   420 ÷ 7 = 60

Check. Multiply back: 60 × 7 = 420. ✓

Watch out. Keep the zeros. 420 ÷ 7 is 60, not 6.

Key words. A known fact is a fact you can already recall. A derived fact is a new fact you work out from a known fact.

Method. Use the fact you know, 24 ÷ 6 = 4, and place value. 2,400 is 24 hundreds, so the answer is 4 hundreds.

1. Spot the fact you know. Take away the zeros and look at the digits that are left.
   24 ÷ 6 = 4
2. Say the big number in hundreds. 2,400 is 24 hundreds.
   2,400 = 24 hundreds
3. Divide, using the known fact. 24 hundreds ÷ 6 = 4 hundreds, because 24 ÷ 6 = 4.
   24 ÷ 6 = 4, so 24 hundreds ÷ 6 = 4 hundreds
4. Change 4 hundreds back to a number. Put the zeros back.
   4 hundreds = 400
5. Write the answer.
   2,400 ÷ 6 = 400

Check. Multiply back: 400 × 6 = 2,400. ✓

Watch out. Keep the zeros. 420 ÷ 7 is 60, not 6.

Key words. A known fact is a fact you can already recall. A derived fact is a new fact you work out from a known fact.

Method. Use the fact you know, 32 ÷ 4 = 8, and place value. 320 is 32 tens, so the answer is 8 tens.

1. Spot the fact you know. Take away the zeros and look at the digits that are left.
   32 ÷ 4 = 8
2. Say the big number in tens. 320 is 32 tens.
   320 = 32 tens
3. Divide, using the known fact. 32 tens ÷ 4 = 8 tens, because 32 ÷ 4 = 8.
   32 ÷ 4 = 8, so 32 tens ÷ 4 = 8 tens
4. Change 8 tens back to a number. Put the zeros back.
   8 tens = 80
5. Write the answer.
   320 ÷ 4 = 80

Check. Multiply back: 80 × 4 = 320. ✓

Watch out. Keep the zeros. 420 ÷ 7 is 60, not 6.

Key words. A known fact is a fact you can already recall. A derived fact is a new fact you work out from a known fact.

Method. Use the fact you know, 72 ÷ 8 = 9, and place value. 7,200 is 72 hundreds, so the answer is 9 hundreds.

1. Spot the fact you know. Take away the zeros and look at the digits that are left.
   72 ÷ 8 = 9
2. Say the big number in hundreds. 7,200 is 72 hundreds.
   7,200 = 72 hundreds
3. Divide, using the known fact. 72 hundreds ÷ 8 = 9 hundreds, because 72 ÷ 8 = 9.
   72 ÷ 8 = 9, so 72 hundreds ÷ 8 = 9 hundreds
4. Change 9 hundreds back to a number. Put the zeros back.
   9 hundreds = 900
5. Write the answer.
   7,200 ÷ 8 = 900

Check. Multiply back: 900 × 8 = 7,200. ✓

Watch out. Keep the zeros. 420 ÷ 7 is 60, not 6.

Key words. A known fact is a fact you can already recall. A derived fact is a new fact you work out from a known fact.

Method. Use the fact you know, 35 ÷ 5 = 7, and place value. 350 is 35 tens, so the answer is 7 tens.

1. Spot the fact you know. Take away the zeros and look at the digits that are left.
   35 ÷ 5 = 7
2. Say the big number in tens. 350 is 35 tens.
   350 = 35 tens
3. Divide, using the known fact. 35 tens ÷ 5 = 7 tens, because 35 ÷ 5 = 7.
   35 ÷ 5 = 7, so 35 tens ÷ 5 = 7 tens
4. Change 7 tens back to a number. Put the zeros back.
   7 tens = 70
5. Write the answer.
   350 ÷ 5 = 70

Check. Multiply back: 70 × 5 = 350. ✓

Watch out. Keep the zeros. 420 ÷ 7 is 60, not 6.

Key words. A known fact is a fact you can already recall. A derived fact is a new fact you work out from a known fact.

Method. Use the fact you know, 54 ÷ 9 = 6, and place value. 5,400 is 54 hundreds, so the answer is 6 hundreds.

1. Spot the fact you know. Take away the zeros and look at the digits that are left.
   54 ÷ 9 = 6
2. Say the big number in hundreds. 5,400 is 54 hundreds.
   5,400 = 54 hundreds
3. Divide, using the known fact. 54 hundreds ÷ 9 = 6 hundreds, because 54 ÷ 9 = 6.
   54 ÷ 9 = 6, so 54 hundreds ÷ 9 = 6 hundreds
4. Change 6 hundreds back to a number. Put the zeros back.
   6 hundreds = 600
5. Write the answer.
   5,400 ÷ 9 = 600

Check. Multiply back: 600 × 9 = 5,400. ✓

Watch out. Keep the zeros. 420 ÷ 7 is 60, not 6.

Key words. To divide using place value is to split the number into parts that you can divide using times table facts, then add the answers. A remainder is what is left over.

Method. Split 68 into chunks that you can divide by 4 using times table facts. Divide each chunk, then add the answers.

1. Split the number into chunks that are easy to divide. Use multiples of 4 like 40, 80, 120... and the 4 times table. Take the biggest chunk first.
   68 = 40 + 28
2. Divide each chunk. Use a times table fact and place value.
   40 ÷ 4 = 10  (because 10 × 4 = 40)
   28 ÷ 4 = 7  (because 7 × 4 = 28)
3. Add the answers. Add up the chunk answers.
   10 + 7 = 17
4. Write the answer.
   68 ÷ 4 = 17

Check. Multiply back: 17 × 4 = 10 × 4 + 7 × 4 = 40 + 28 = 68. ✓

Watch out. Make sure the chunks add back to 68: 40 + 28 = 68.

Key words. To divide using place value is to split the number into parts that you can divide using times table facts, then add the answers. A remainder is what is left over.

Method. Split 72 into chunks that you can divide by 3 using times table facts. Divide each chunk, then add the answers.

1. Split the number into chunks that are easy to divide. Use multiples of 3 like 30, 60, 90... and the 3 times table. Take the biggest chunk first.
   72 = 60 + 12
2. Divide each chunk. Use a times table fact and place value.
   60 ÷ 3 = 20  (because 20 × 3 = 60)
   12 ÷ 3 = 4  (because 4 × 3 = 12)
3. Add the answers. Add up the chunk answers.
   20 + 4 = 24
4. Write the answer.
   72 ÷ 3 = 24

Check. Multiply back: 24 × 3 = 20 × 3 + 4 × 3 = 60 + 12 = 72. ✓

Watch out. Make sure the chunks add back to 72: 60 + 12 = 72.

Key words. To divide using place value is to split the number into parts that you can divide using times table facts, then add the answers. A remainder is what is left over.

Method. Split 95 into chunks that you can divide by 5 using times table facts. Divide each chunk, then add the answers.

1. Split the number into chunks that are easy to divide. Use multiples of 5 like 50, 100, 150... and the 5 times table. Take the biggest chunk first.
   95 = 50 + 45
2. Divide each chunk. Use a times table fact and place value.
   50 ÷ 5 = 10  (because 10 × 5 = 50)
   45 ÷ 5 = 9  (because 9 × 5 = 45)
3. Add the answers. Add up the chunk answers.
   10 + 9 = 19
4. Write the answer.
   95 ÷ 5 = 19

Check. Multiply back: 19 × 5 = 10 × 5 + 9 × 5 = 50 + 45 = 95. ✓

Watch out. Make sure the chunks add back to 95: 50 + 45 = 95.

Key words. To divide using place value is to split the number into parts that you can divide using times table facts, then add the answers. A remainder is what is left over.

Method. Split 84 into chunks that you can divide by 6 using times table facts. Divide each chunk, then add the answers.

1. Split the number into chunks that are easy to divide. Use multiples of 6 like 60, 120, 180... and the 6 times table. Take the biggest chunk first.
   84 = 60 + 24
2. Divide each chunk. Use a times table fact and place value.
   60 ÷ 6 = 10  (because 10 × 6 = 60)
   24 ÷ 6 = 4  (because 4 × 6 = 24)
3. Add the answers. Add up the chunk answers.
   10 + 4 = 14
4. Write the answer.
   84 ÷ 6 = 14

Check. Multiply back: 14 × 6 = 10 × 6 + 4 × 6 = 60 + 24 = 84. ✓

Watch out. Make sure the chunks add back to 84: 60 + 24 = 84.

Key words. To divide using place value is to split the number into parts that you can divide using times table facts, then add the answers. A remainder is what is left over.

Method. Split 96 into chunks that you can divide by 8 using times table facts. Divide each chunk, then add the answers.

1. Split the number into chunks that are easy to divide. Use multiples of 8 like 80, 160, 240... and the 8 times table. Take the biggest chunk first.
   96 = 80 + 16
2. Divide each chunk. Use a times table fact and place value.
   80 ÷ 8 = 10  (because 10 × 8 = 80)
   16 ÷ 8 = 2  (because 2 × 8 = 16)
3. Add the answers. Add up the chunk answers.
   10 + 2 = 12
4. Write the answer.
   96 ÷ 8 = 12

Check. Multiply back: 12 × 8 = 10 × 8 + 2 × 8 = 80 + 16 = 96. ✓

Watch out. Make sure the chunks add back to 96: 80 + 16 = 96.

Key words. To divide using place value is to split the number into parts that you can divide using times table facts, then add the answers. A remainder is what is left over.

Method. Split 78 into chunks that you can divide by 3 using times table facts. Divide each chunk, then add the answers.

1. Split the number into chunks that are easy to divide. Use multiples of 3 like 30, 60, 90... and the 3 times table. Take the biggest chunk first.
   78 = 60 + 18
2. Divide each chunk. Use a times table fact and place value.
   60 ÷ 3 = 20  (because 20 × 3 = 60)
   18 ÷ 3 = 6  (because 6 × 3 = 18)
3. Add the answers. Add up the chunk answers.
   20 + 6 = 26
4. Write the answer.
   78 ÷ 3 = 26

Check. Multiply back: 26 × 3 = 20 × 3 + 6 × 3 = 60 + 18 = 78. ✓

Watch out. Make sure the chunks add back to 78: 60 + 18 = 78.

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.

   2	8	4

2. Divide the tens. Always start on the left, with the biggest place value.
   8 ÷ 2 = 4
   Write 4 above the 8.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 4 ones.
   4 ÷ 2: 2 × 2 = 4. Write 2 above the 4.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	4	2
   2	8	4

   
   84 ÷ 2 = 42

Check. Multiply back: 42 × 2 = 40 × 2 + 2 × 2 = 80 + 4 = 84. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	9

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 9 ones.
   9 ÷ 3: 3 × 3 = 9. Write 3 above the 9.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	2	3
   3	6	9

   
   69 ÷ 3 = 23

Check. Multiply back: 23 × 3 = 20 × 3 + 3 × 3 = 60 + 9 = 69. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	4	8

2. Divide the tens. Always start on the left, with the biggest place value.
   4 ÷ 4 = 1
   Write 1 above the 4.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 8 ones.
   8 ÷ 4: 2 × 4 = 8. Write 2 above the 8.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	1	2
   4	4	8

   
   48 ÷ 4 = 12

Check. Multiply back: 12 × 4 = 10 × 4 + 2 × 4 = 40 + 8 = 48. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	6	6

2. Divide the tens. Always start on the left, with the biggest place value.
   6 ÷ 6 = 1
   Write 1 above the 6.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 6 ones.
   6 ÷ 6: 1 × 6 = 6. Write 1 above the 6.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	1	1
   6	6	6

   
   66 ÷ 6 = 11

Check. Multiply back: 11 × 6 = 10 × 6 + 1 × 6 = 60 + 6 = 66. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	9	3

2. Divide the tens. Always start on the left, with the biggest place value.
   9 ÷ 3 = 3
   Write 3 above the 9.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 3 ones.
   3 ÷ 3: 1 × 3 = 3. Write 1 above the 3.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	3	1
   3	9	3

   
   93 ÷ 3 = 31

Check. Multiply back: 31 × 3 = 30 × 3 + 1 × 3 = 90 + 3 = 93. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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.

   2	8	6

2. Divide the tens. Always start on the left, with the biggest place value.
   8 ÷ 2 = 4
   Write 4 above the 8.
3. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 6 ones.
   6 ÷ 2: 3 × 2 = 6. Write 3 above the 6.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	4	3
   2	8	6

   
   86 ÷ 2 = 43

Check. Multiply back: 43 × 2 = 40 × 2 + 3 × 2 = 80 + 6 = 86. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	5	2

2. Divide the tens. Always start on the left, with the biggest place value.
   5 ÷ 4 = 1, remainder 1
   Write 1 above the 5.
   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 2 ones there are 10 + 2 = 12 ones.
   12 ÷ 4: 3 × 4 = 12. Write 3 above the 2.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	1	3
   4	5	12

   
   52 ÷ 4 = 13

Check. Multiply back: 13 × 4 = 10 × 4 + 3 × 4 = 40 + 12 = 52. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	1

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 1 ones there are 20 + 1 = 21 ones.
   21 ÷ 7: 3 × 7 = 21. Write 3 above the 1.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	1	3
   7	9	21

   
   91 ÷ 7 = 13

Check. Multiply back: 13 × 7 = 10 × 7 + 3 × 7 = 70 + 21 = 91. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	5

2. Divide the tens. Always start on the left, with the biggest place value.
   7 ÷ 5 = 1, remainder 2
   Write 1 above the 7.
   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 5 ones there are 20 + 5 = 25 ones.
   25 ÷ 5: 5 × 5 = 25. Write 5 above the 5.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	1	5
   5	7	25

   
   75 ÷ 5 = 15

Check. Multiply back: 15 × 5 = 10 × 5 + 5 × 5 = 50 + 25 = 75. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	9	6

2. Divide the tens. Always start on the left, with the biggest place value.
   9 ÷ 6 = 1, remainder 3
   Write 1 above the 9.
   Exchange the remainder: 3 tens become 30 ones. Carry 3 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 6 ones there are 30 + 6 = 36 ones.
   36 ÷ 6: 6 × 6 = 36. Write 6 above the 6.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	1	6
   6	9	36

   
   96 ÷ 6 = 16

Check. Multiply back: 16 × 6 = 10 × 6 + 6 × 6 = 60 + 36 = 96. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	8	1

2. Divide the tens. Always start on the left, with the biggest place value.
   8 ÷ 3 = 2, remainder 2
   Write 2 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 1 ones there are 20 + 1 = 21 ones.
   21 ÷ 3: 7 × 3 = 21. Write 7 above the 1.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	2	7
   3	8	21

   
   81 ÷ 3 = 27

Check. Multiply back: 27 × 3 = 20 × 3 + 7 × 3 = 60 + 21 = 81. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	7	2

2. Divide the tens. Always start on the left, with the biggest place value.
   7 ÷ 4 = 1, remainder 3
   Write 1 above the 7.
   Exchange the remainder: 3 tens become 30 ones. Carry 3 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 2 ones there are 30 + 2 = 32 ones.
   32 ÷ 4: 8 × 4 = 32. Write 8 above the 2.
   Nothing is left over, so there is no remainder.
4. Read the answer. Read the digits above the line from left to right.

   	1	8
   4	7	32

   
   72 ÷ 4 = 18

Check. Multiply back: 18 × 4 = 10 × 4 + 8 × 4 = 40 + 32 = 72. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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.

   2	6	4	2

2. Divide the hundreds. Always start on the left, with the biggest place value.
   6 ÷ 2 = 3
   Write 3 above the 6.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 4 tens.
   4 ÷ 2: 2 × 2 = 4. Write 2 above the 4.
4. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 2 ones.
   2 ÷ 2: 1 × 2 = 2. Write 1 above the 2.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	3	2	1
   2	6	4	2

   
   642 ÷ 2 = 321

Check. Multiply back: 321 × 2 = 300 × 2 + 20 × 2 + 1 × 2 = 600 + 40 + 2 = 642. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	9	3	6

2. Divide the hundreds. Always start on the left, with the biggest place value.
   9 ÷ 3 = 3
   Write 3 above the 9.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 3 tens.
   3 ÷ 3: 1 × 3 = 3. Write 1 above the 3.
4. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 6 ones.
   6 ÷ 3: 2 × 3 = 6. Write 2 above the 6.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	3	1	2
   3	9	3	6

   
   936 ÷ 3 = 312

Check. Multiply back: 312 × 3 = 300 × 3 + 10 × 3 + 2 × 3 = 900 + 30 + 6 = 936. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	8	4	8

2. Divide the hundreds. Always start on the left, with the biggest place value.
   8 ÷ 4 = 2
   Write 2 above the 8.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 4 tens.
   4 ÷ 4: 1 × 4 = 4. Write 1 above the 4.
4. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 8 ones.
   8 ÷ 4: 2 × 4 = 8. Write 2 above the 8.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	2	1	2
   4	8	4	8

   
   848 ÷ 4 = 212

Check. Multiply back: 212 × 4 = 200 × 4 + 10 × 4 + 2 × 4 = 800 + 40 + 8 = 848. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	9	6

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 9 tens.
   9 ÷ 3: 3 × 3 = 9. Write 3 above the 9.
4. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 6 ones.
   6 ÷ 3: 2 × 3 = 6. Write 2 above the 6.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	3	2
   3	3	9	6

   
   396 ÷ 3 = 132

Check. Multiply back: 132 × 3 = 100 × 3 + 30 × 3 + 2 × 3 = 300 + 90 + 6 = 396. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	7	5	6

2. Divide the hundreds. Always start on the left, with the biggest place value.
   7 ÷ 6 = 1, remainder 1
   Write 1 above the 7.
   Exchange the remainder: 1 hundred becomes 10 tens. Carry 1 to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 1 that was carried.
   The carried 1 makes 10 tens. With the 5 tens there are 10 + 5 = 15 tens.
   15 ÷ 6: 2 × 6 = 12, and 15 − 12 = 3. Write 2 above the 5.
   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 6 ones there are 30 + 6 = 36 ones.
   36 ÷ 6: 6 × 6 = 36. Write 6 above the 6.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	2	6
   6	7	15	36

   
   756 ÷ 6 = 126

Check. Multiply back: 126 × 6 = 100 × 6 + 20 × 6 + 6 × 6 = 600 + 120 + 36 = 756. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	4	3	2

2. Divide the hundreds. Always start on the left, with the biggest place value.
   4 ÷ 3 = 1, remainder 1
   Write 1 above the 4.
   Exchange the remainder: 1 hundred becomes 10 tens. Carry 1 to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 1 that was carried.
   The carried 1 makes 10 tens. With the 3 tens there are 10 + 3 = 13 tens.
   13 ÷ 3: 4 × 3 = 12, and 13 − 12 = 1. Write 4 above the 3.
   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 2 ones there are 10 + 2 = 12 ones.
   12 ÷ 3: 4 × 3 = 12. Write 4 above the 2.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	4	4
   3	4	13	12

   
   432 ÷ 3 = 144

Check. Multiply back: 144 × 3 = 100 × 3 + 40 × 3 + 4 × 3 = 300 + 120 + 12 = 432. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	6	7	2

2. Divide the hundreds. Always start on the left, with the biggest place value.
   6 ÷ 4 = 1, remainder 2
   Write 1 above the 6.
   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 7 tens there are 20 + 7 = 27 tens.
   27 ÷ 4: 6 × 4 = 24, and 27 − 24 = 3. Write 6 above the 7.
   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 2 ones there are 30 + 2 = 32 ones.
   32 ÷ 4: 8 × 4 = 32. Write 8 above the 2.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	6	8
   4	6	27	32

   
   672 ÷ 4 = 168

Check. Multiply back: 168 × 4 = 100 × 4 + 60 × 4 + 8 × 4 = 400 + 240 + 32 = 672. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	5	8	5

2. Divide the hundreds. Always start on the left, with the biggest place value.
   5 ÷ 5 = 1
   Write 1 above the 5.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 8 tens.
   8 ÷ 5: 1 × 5 = 5, and 8 − 5 = 3. Write 1 above the 8.
   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 5 ones there are 30 + 5 = 35 ones.
   35 ÷ 5: 7 × 5 = 35. Write 7 above the 5.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	1	7
   5	5	8	35

   
   585 ÷ 5 = 117

Check. Multiply back: 117 × 5 = 100 × 5 + 10 × 5 + 7 × 5 = 500 + 50 + 35 = 585. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	8	4	6

2. Divide the hundreds. Always start on the left, with the biggest place value.
   8 ÷ 9: 8 is smaller than 9, so we cannot make a whole hundred for each share. Write 0 (this leading 0 is not part of the answer).
   Exchange the 8 hundreds for 80 tens and carry them to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 8 that was carried.
   The carried 8 makes 80 tens. With the 4 tens there are 80 + 4 = 84 tens.
   84 ÷ 9: 9 × 9 = 81, and 84 − 81 = 3. Write 9 above the 4.
   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 6 ones there are 30 + 6 = 36 ones.
   36 ÷ 9: 4 × 9 = 36. Write 4 above the 6.
   Nothing is left over, so there is no remainder.
5. Read the answer. Ignore any 0 at the front of the answer.

   	0	9	4
   9	8	84	36

   
   846 ÷ 9 = 94

Check. Multiply back: 94 × 9 = 90 × 9 + 4 × 9 = 810 + 36 = 846. ✓

Watch out. If the first digit is smaller than 9, write 0 above it (not in the final answer) and carry the digit to the next place.

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	9	1	2

2. Divide the hundreds. Always start on the left, with the biggest place value.
   9 ÷ 8 = 1, remainder 1
   Write 1 above the 9.
   Exchange the remainder: 1 hundred becomes 10 tens. Carry 1 to the next digit.
3. Divide the tens. Move to the next digit on the right. Add the 1 that was carried.
   The carried 1 makes 10 tens. With the 1 tens there are 10 + 1 = 11 tens.
   11 ÷ 8: 1 × 8 = 8, and 11 − 8 = 3. Write 1 above the 1.
   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 2 ones there are 30 + 2 = 32 ones.
   32 ÷ 8: 4 × 8 = 32. Write 4 above the 2.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	1	4
   8	9	11	32

   
   912 ÷ 8 = 114

Check. Multiply back: 114 × 8 = 100 × 8 + 10 × 8 + 4 × 8 = 800 + 80 + 32 = 912. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	6	1	8

2. Divide the hundreds. Always start on the left, with the biggest place value.
   6 ÷ 6 = 1
   Write 1 above the 6.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 1 tens.
   1 ÷ 6: 1 is smaller than 6, so write 0.
   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 ÷ 6: 3 × 6 = 18. Write 3 above the 8.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	0	3
   6	6	1	18

   
   618 ÷ 6 = 103

Check. Multiply back: 103 × 6 = 100 × 6 + 3 × 6 = 600 + 18 = 618. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	8	1	2

2. Divide the hundreds. Always start on the left, with the biggest place value.
   8 ÷ 4 = 2
   Write 2 above the 8.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 1 tens.
   1 ÷ 4: 1 is smaller than 4, so write 0.
   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 2 ones there are 10 + 2 = 12 ones.
   12 ÷ 4: 3 × 4 = 12. Write 3 above the 2.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	2	0	3
   4	8	1	12

   
   812 ÷ 4 = 203

Check. Multiply back: 203 × 4 = 200 × 4 + 3 × 4 = 800 + 12 = 812. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

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	5	4	0

2. Divide the hundreds. Always start on the left, with the biggest place value.
   5 ÷ 9: 5 is smaller than 9, 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 4 tens there are 50 + 4 = 54 tens.
   54 ÷ 9: 6 × 9 = 54. Write 6 above the 4.
4. Divide the ones. Move to the next digit on the right.
   Nothing was carried, so there are just 0 ones.
   0 ÷ 9: 0 is smaller than 9, so write 0.
   Nothing is left over, so there is no remainder.
5. Read the answer. Ignore any 0 at the front of the answer.

   	0	6	0
   9	5	54	0

   
   540 ÷ 9 = 60

Check. Multiply back: 60 × 9 = 540. ✓

Watch out. If the first digit is smaller than 9, write 0 above it (not in the final answer) and carry the digit to the next place.

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	1	4

2. Divide the hundreds. Always start on the left, with the biggest place value.
   7 ÷ 7 = 1
   Write 1 above the 7.
3. Divide the tens. Move to the next digit on the right.
   Nothing was carried, so there are just 1 tens.
   1 ÷ 7: 1 is smaller than 7, so write 0.
   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 4 ones there are 10 + 4 = 14 ones.
   14 ÷ 7: 2 × 7 = 14. Write 2 above the 4.
   Nothing is left over, so there is no remainder.
5. Read the answer. Read the digits above the line from left to right.

   	1	0	2
   7	7	1	14

   
   714 ÷ 7 = 102

Check. Multiply back: 102 × 7 = 100 × 7 + 2 × 7 = 700 + 14 = 714. ✓

Watch out. Start on the left, with the biggest place value. Carry any remainder to the next digit.

Method. Multiplying and dividing undo each other. 7 times the missing number is 154, so divide 154 by 7.

1. Read the number sentence. The box is the number we do not know.
   7 × ? = 154
2. Use the opposite (inverse) operation. To find a missing number in a multiplication, divide the answer by the number you know.
   154 ÷ 7
3. Work it out with the bus stop. Divide one digit at a time.
   154 ÷ 7 = 22
   

   	0	2	2
   7	1	15	14

4. Write the missing number.
   7 × 22 = 154

Check. Multiply: 7 × 22 = 154. ✓

Watch out. The missing number is not always the last number. Divide the answer by the number you know.

Method. Multiplying and dividing undo each other. The missing number was divided by 6 to make 34, so multiply 34 by 6 to get it back.

1. Read the number sentence. The box is the number we do not know.
   ? ÷ 6 = 34
2. Use the opposite (inverse) operation. To find the number that was divided, multiply the answer by 6.
   34 × 6
3. Work it out with short multiplication. Multiply one digit at a time and carry.
   34 × 6 = 204
   

   	H	T	O
   		3	4
   ×			6
   	2	0	4
   	2	2

4. Write the missing number.
   204 ÷ 6 = 34

Check. Divide: 204 ÷ 6 = 34. ✓

Watch out. Read the whole sentence with your answer in the box. It must be true.

Method. Multiplying and dividing undo each other. 5 times the missing number is 365, so divide 365 by 5.

1. Read the number sentence. The box is the number we do not know.
   5 × ? = 365
2. Use the opposite (inverse) operation. To find a missing number in a multiplication, divide the answer by the number you know.
   365 ÷ 5
3. Work it out with the bus stop. Divide one digit at a time.
   365 ÷ 5 = 73
   

   	0	7	3
   5	3	36	15

4. Write the missing number.
   5 × 73 = 365

Check. Multiply: 5 × 73 = 365. ✓

Watch out. The missing number is not always the last number. Divide the answer by the number you know.

Method. Multiplying and dividing undo each other. The missing number was divided by 4 to make 125, so multiply 125 by 4 to get it back.

1. Read the number sentence. The box is the number we do not know.
   ? ÷ 4 = 125
2. Use the opposite (inverse) operation. To find the number that was divided, multiply the answer by 4.
   125 × 4
3. Work it out with short multiplication. Multiply one digit at a time and carry.
   125 × 4 = 500
   

   	H	T	O
   	1	2	5
   ×			4
   	5	0	0
   	1	2

4. Write the missing number.
   500 ÷ 4 = 125

Check. Divide: 500 ÷ 4 = 125. ✓

Watch out. Read the whole sentence with your answer in the box. It must be true.