82034 ÷ 6 = 13672 R2
We're going to perform division on 82034 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.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 3:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 136
Subtract 36 from 40 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 4:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1367
Subtract 42 from 43 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 6

Step 5:
6 goes into 14 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 13672
Subtract 12 from 14 to get 2.

The final result is 13672 with a remainder of 2.