1 Shift the decimal points of both 23.7 and 1.8 to the right by 1 decimal place.
(This is needed to convert 1.8 to 18, since long division must divide by a whole number.)
2
3
7
1
8
18
237
2 Set up the long division.
1 8 | 2 3 7
3 Calculate 23 ÷ 18, which is 1 with a remainder of 5.
1
1 8 | 2 3 7
1 8
5
4 Bring down 7, so that 57 is large enough to be divided by 18.
1
1 8 | 2 3 7
1 8
5 7
5 Calculate 57 ÷ 18, which is 3 with a remainder of 3.
1 3
1 8 | 2 3 7
1 8
5 7
5 4
3
6 Bring down 0, so that 30 is large enough to be divided by 18.
1 3 .
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
7 Calculate 30 ÷ 18, which is 1 with a remainder of 12.
1 3 . 1
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
1 . 8
1 . 2
8 Bring down 0, so that 120 is large enough to be divided by 18.
1 3 . 1
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
1 . 8
1 . 2 0
9 Calculate 120 ÷ 18, which is 6 with a remainder of 12.
1 3 . 1 6
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
1 . 8
1 . 2 0
1 . 0 8
1 2
10 Bring down 0, so that 120 is large enough to be divided by 18.
1 3 . 1 6
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
1 . 8
1 . 2 0
1 . 0 8
1 2 0
11 Calculate 120 ÷ 18, which is 6 with a remainder of 12.
1 3 . 1 6 6
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
1 . 8
1 . 2 0
1 . 0 8
1 2 0
1 0 8
1 2
12 Bring down 0, so that 120 is large enough to be divided by 18.
1 3 . 1 6 6
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
1 . 8
1 . 2 0
1 . 0 8
1 2 0
1 0 8
1 2 0
13 Calculate 120 ÷ 18, which is 6 with a remainder of 12.
1 3 . 1 6 6 6
1 8 | 2 3 7 .
1 8
5 7 .
5 4 .
3 . 0
1 . 8
1 . 2 0
1 . 0 8
1 2 0
1 0 8
1 2 0
1 0 8
1 2
14 Therefore, 23.70 ÷ 1.8 ≈ 13.1666:
13.1666
