Use long division to convert the rational number 1/8 to its equivalent decimal form

1 Set up the long division.

8|1

2 Calculate 10 : 8, which is 1 with a remainder of 2.

0.1

8|1.

8

2

3 Bring down 0, so that 20 is large enough to be divided by 8.

0.1

8|1.

8

20

4 Calculate 20 : 8, which is 2 with a remainder of 4.

0.12

8|1.

8

20

16

4

5 Bring down 0, so that 40 is large enough to be divided by 8.

0.12

8|1.

8

20

16

40

6 Calculate 40 : 8, which is 5.

0.125

8|1.

- 8

20

16

40

40

7 Therefore, 1 : 8 = 0.125.

0.125

Answer: 0.125