82201 ÷ 7 = 11743 R0
Alright, let's work through the division of 82201 by 7 step by step.

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 (2) of the dividend behind the 5 and repeat the process: 52 / 7

Step 3:
7 goes into 52 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 117
Subtract 49 from 52 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Step 4:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 1174
Subtract 28 from 30 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 7

Step 5:
7 goes into 21 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 11743
Subtract 21 from 21 to get 0.

The final result is 11743 with a remainder of 0.