1
Shift the decimal points of both 3.8 and 34.2 to the right by 1 decimal place.
(This is needed to convert 34.2 to 342, since long division must divide by a whole number.)
\frac{38}{342}34238
2
Set up the long division.
342|38
3
Calculate 380 ÷ 342, which is 1 with a remainder of 38.
.1342|38.34.23.8
4
Bring down 0, so that 380 is large enough to be divided by 342.
.1342|38.34.23.80
5
Calculate 380 ÷ 342, which is 1 with a remainder of 38.
.11342|38.34.23.803.4238
6
Bring down 0, so that 380 is large enough to be divided by 342.
.11342|38.34.23.803.42380
7
Calculate 380 ÷ 342, which is 1 with a remainder of 38.
.111342|38.34.23.803.4238034238
8
Bring down 0, so that 380 is large enough to be divided by 342.
.111342|38.34.23.803.42380342380
9
Calculate 380 ÷ 342, which is 1 with a remainder of 38.
.1111342|38.34.23.803.4238034238034238
10
Therefore, 3.8 ÷ 34.2 ≈ 0.1111.
0.11110.1111
