82031 ÷ 8 = 10253 R7
We're going to perform division on 82031 with 8 as the divisor.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Step 2:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 8

Step 3:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 102
Subtract 16 from 20 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 8

Step 4:
8 goes into 43 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 1025
Subtract 40 from 43 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 5:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 10253
Subtract 24 from 31 to get 7.

The final result is 10253 with a remainder of 7.