Long Division Methods

1
Long Division Methods

• Method 1

2
We are going to try to solve
839 27
3
Method 1
839 27
8 3 9
- 2 7 0 (27 x 10 270)
4
Method 1
839 27
8 3 9
- 2 7 0 (27 x 10 270)
5 6 9
5
Method 1
839 27
8 3 9
- 2 7 0 (27 x 10 270)
5 6 9
- 2 7 0 (27 x 10 270)
2 9 9
6
Method 1
839 27
8 3 9
- 2 7 0 (27 x 10 270)
5 6 9
- 2 7 0 (27 x 10 270)
2 9 9
- 2 7 0 (27 x 10 270)
2 9
7
Method 1
839 27
8 3 9
- 2 7 0 (27 x 10 270)
5 6 9
- 2 7 0 (27 x 10 270)
2 9 9
- 2 7 0 (27 x 10 270)
2 9
- 2 7 (27 x 1 27)
2
8
Method 1
839 27
8 3 9
- 2 7 0 (27 x 10 270)
5 6 9
- 2 7 0 (27 x 10 270)
2 9 9
- 2 7 0 (27 x 10 270)
2 9
- 2 7 (27 x 1 27)
2
10 10 10 1 31
9
Method 1
3 1 r 2
839 27
Or 31 2
27
10
Long Division Methods

• Method 2

11
We are going to try to solve
839 27
12
Method 2
839 27
becomes
27 ) 8 3 9
13
Method 2
27 x 10 270 Miles off!
839 27
27 ) 8 3 9
14
Method 2
27 x 10 270 27 x 20 540 Getting better!
839 27
27 ) 8 3 9
15
Method 2
27 x 10 270 27 x 20 540 27 x 30 810 Much
better!
839 27
27 ) 8 3 9
16
Method 2
27 x 30 810 Put the 810 underneath.
839 27
27 ) 8 3 9
- 8 1 0 2 9
27 x 30 810
17
Method 2
839 27
27 ) 8 3 9
- 8 1 0 2 9
27 x 30 810
27 x 1 27
- 2 7
2
18
Method 2
839 27
27 x 30 810
3 1
27 x 1 27
27 ) 8 3 9
- 8 1 0 2 9
30 1 31
- 2 7
2
19
Method 2
839 27
3 1 r 2
27 ) 8 3 9
- 8 1 0 2 9
Dont forget the remainder!
- 2 7
2
20
Method 2
3 1 r 2
839 27
Or 31 2
27
21
Long Division Methods

• Method 3

22
We are going to try to solve
839 27
23
Method 3
839 27
becomes
27 ) 8 3 9
24
Method 3
Calculate 8 27
839 27
27 ) 8 3 9
25
Method 3
We cant do it, so we write the answer 0 here
839 27
0
27 ) 8 3 9
26
Method 3
So we next look at 83 27
839 27
0
27 ) 8 3 9
Use you repeated subtraction here if this helps
27
Method 3
2 x 27 54 3 x 27 81
839 27
0
3
27 ) 8 3 9
28
Method 3
3 x 27 81
839 27
We need to take off 81 from the 83 to get the
remainder
0
3
27 ) 8 3 9
- 8 1
2
29
Method 3
839 27
Drop the next digit next to the 2
0
3
27 ) 8 3 9
- 8 1
2 9
30
Method 3
Now we are going to do 29 27 and put the answer
here
839 27
0
3 1
27 ) 8 3 9
- 8 1
2 9
31
Method 3
Now we are going to do 29 - 27 to get the
remainder
839 27
0
3 1
27 ) 8 3 9
- 8 1
2 9
2 7
32
Method 3
839 27
0
3 1 r 2
27 ) 8 3 9
- 8 1
2 9
2 7
2
33
Method 3
3 1 r 2
839 27
or
31 2
27