82025 ÷ 7 = 11717 R6
We're going to perform division on 82025 with 7 as the divisor.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 2:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 12 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 3:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 117
Subtract 49 from 50 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 4:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1171
Subtract 7 from 12 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 5:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 11717
Subtract 49 from 55 to get 6.

The final result is 11717 with a remainder of 6.