Chris Clements

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÷ Chris Clements

Written Methods

Long Division

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Learning Objective:

LO: I can understand and use long division.

How to do Long Division:

504 ÷ 21 =

Before you begin to solve an equation, using a long written

method, it is important to make an approximation first.

If we round 504 to 500 and 21 to 20 we make an equation we can do

mentally. 500 ÷ 20 =

25

We can use this to check the answer

at the end.

Set the sum out correctly

21 5 0 4

Start with the largest place holder in this case it will be the hundreds column.

5 ÷ 21 not possibleSo put a 0 above

the hundreds column

0

Carry the 5s digit over to the Tens

column!

50 ÷ 21 =

21 x 2 = 42

2

2- 48 4

84 ÷ 21 = 4

4

- 8 40

No remainders

50 – 42 = 8

Set the sum out correctly

21 5 0 4

0 2 4

The answer is 24; check using approximation.

500 ÷ 20 =

25

If the approximation is nowhere near your

answer. You will need to go back and check each of your calculations for

mistakes.

1) Make an approximation (Use to check answer)

2) Carry out calculation (see below)3) Check your answer

Long Division

Steps to success

21 5 0 40 2

2- 48

4

4

- 84

0 No remainders

Try this equation; 848 ÷ 16

16 8 4 8

Start with the largest place holder in this case it will be the hundreds column.

8 ÷ 16 not possibleSo put a 0 above

the hundreds column

0

Carry the 8s digit over to the Tens

column!

84 ÷ 16 =

16 x 5 = 80

5

0- 84 8

48 ÷ 16 = 3

3

- 4 80No remainders 84 – 80 = 4

Approximation 800 ÷ 16 =

50

Set the sum out correctly

16 8 4 8

0 5 3

The answer is 53; check using approximation.

800 ÷ 16 =

50

If the approximation is nowhere near your

answer. You will need to go back and check each of your calculations for

mistakes.

Activity

<type here>

PlenaryMay saved her

pocket money for a number of weeks so that she could buy her favourite packs of stickers. She saved £6 and stickers cost 18p a pack. How many packs could you afford to buy?

How many stickers did she buy?

18 6 0 0

0 3

4- 56 0

3

- 5 46

How much change did she get? 6p

33 x 6 = 198

6 stickers in each

pack