82211 ÷ 7 = 11744 R3
Alright, let's work through the division of 82211 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 (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 4:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 1174
Subtract 28 from 31 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 5:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 11744
Subtract 28 from 31 to get 3.

The final result is 11744 with a remainder of 3.