82 ÷ 6 = 13 R4
We're going to perform division on 82 with 6 as the divisor.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 2:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 18 from 22 to get 4.

The final result is 13 with a remainder of 4.