82811 ÷ 8 = 10351 R3
Alright, let's work through the division of 82811 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Step 2:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 8

Step 3:
8 goes into 28 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 24 from 28 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 8

Step 4:
8 goes into 41 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1035
Subtract 40 from 41 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 8

Step 5:
8 goes into 11 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 10351
Subtract 8 from 11 to get 3.

The final result is 10351 with a remainder of 3.