Long Division Methods - Primary Resources

Long Division Methods

Method 1

We are going to try to solve

839 ÷ 27

839 ÷ 27

Method 18 3 9

- 2 7 0 (27 x 10 = 270)

839 ÷ 27

Method 18 3 9

- 2 7 0 (27 x 10 = 270) 5 6 9

839 ÷ 27

Method 18 3 9

- 2 7 0 (27 x 10 = 270)

- 2 7 0 (27 x 10 = 270)5 6 9

2 9 9

839 ÷ 27

Method 18 3 9

- 2 7 0 (27 x 10 = 270)

- 2 7 0 (27 x 10 = 270)

- 2 7 0 (27 x 10 = 270)

5 6 9

2 9 9

2 9

839 ÷ 27

Method 18 3 9

- 2 7 0 (27 x 10 = 270)

- 2 7 0 (27 x 10 = 270)

- 2 7 0 (27 x 10 = 270)

5 6 9

2 9 9

2 9- 2 7 (27 x 1 = 27)

2

839 ÷ 27

Method 18 3 9

- 2 7 0 (27 x 10 = 270)

- 2 7 0 (27 x 10 = 270)

- 2 7 0 (27 x 10 = 270)

5 6 9

2 9 9

2 9- 2 7 (27 x 1 = 27)

2 10 + 10 + 10 + 1 = 31

839 ÷ 27

Method 1

= 3 1 r 2Or 31 2

27

Long Division Methods

Method 2

We are going to try to solve

839 ÷ 27

839 ÷ 27

Method 2

becomes

27 ) 8 3 9

839 ÷ 27

Method 2

27 ) 8 3 9

27 x 10 = 270

Miles off!

839 ÷ 27

Method 2

27 ) 8 3 9

27 x 10 = 27027 x 20 = 540Getting better!

839 ÷ 27

Method 2

27 ) 8 3 9

27 x 10 = 27027 x 20 = 54027 x 30 = 810

Much better!

839 ÷ 27

Method 2

27 ) 8 3 9

27 x 30 = 810Put the 810 underneath.

- 8 1 0 2 9

27 x 30 = 810

839 ÷ 27

Method 2

27 ) 8 3 9- 8 1 0 2 9

27 x 30 = 81027 x 1 = 27- 2 7

2

839 ÷ 27

Method 2

27 ) 8 3 9- 8 1 0 2 9

27 x 30 = 81027 x 1 = 27

- 2 72

30 + 1 = 31

3 1

839 ÷ 27

Method 2

27 ) 8 3 9- 8 1 0 2 9 Don’t forget

the remainder!- 2 72

3 1 r 2

839 ÷ 27

Method 2

= 3 1 r 2Or 31 2

27

Long Division Methods

Method 3

We are going to try to solve

839 ÷ 27

839 ÷ 27

Method 3

becomes

27 ) 8 3 9

839 ÷ 27

Method 3

27 ) 8 3 9

Calculate 8 ÷ 27

839 ÷ 27

Method 3

27 ) 8 3 9

We can’t do it, so we write the answer 0 here0

839 ÷ 27

Method 3

27 ) 8 3 9

So we next look at 83 ÷ 27

0

Use you repeated subtraction here if this helps

839 ÷ 27

Method 3

27 ) 8 3 90

2 x 27 = 543 x 27 = 81

3

839 ÷ 27

Method 3

27 ) 8 3 90

3 x 27 = 81

3

- 8 12

We need to take off 81 from the 83 to get the remainder

839 ÷ 27

Method 3

27 ) 8 3 90 3

- 8 12 9

Drop the next digit next to the 2

839 ÷ 27

Method 3

27 ) 8 3 90 3 1

- 8 12 9

Now we are going to do 29 ÷ 27 and put the answer here

839 ÷ 27

Method 3

27 ) 8 3 90 3 1

- 8 12 9

Now we are going to do 29 - 27 to get the remainder

2 7

839 ÷ 27

Method 3

27 ) 8 3 90 3 1 r 2

- 8 12 92 7

2

839 ÷ 27

Method 3

= 3 1 r 2

or 31 227