82165 ÷ 7 = 11737 R6
We're going to perform division on 82165 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 (1) of the dividend behind the 5 and repeat the process: 51 / 7

Step 3:
7 goes into 51 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 117
Subtract 49 from 51 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 4:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 1173
Subtract 21 from 26 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: 11737
Subtract 49 from 55 to get 6.

The final result is 11737 with a remainder of 6.