31 ÷ 8 = 3 R7
We're going to perform division on 31 with 8 as the divisor.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 2:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 24 from 31 to get 7.

The final result is 3 with a remainder of 7.