85071 ÷ 8 = 10633 R7
Alright, let's work through the division of 85071 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 (5) of the dividend behind the 0 and repeat the process: 5 / 8

Step 2:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 8

Step 3:
8 goes into 50 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 106
Subtract 48 from 50 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 8

Step 4:
8 goes into 27 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 1063
Subtract 24 from 27 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 5:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 10633
Subtract 24 from 31 to get 7.

The final result is 10633 with a remainder of 7.