8071 ÷ 8 = 1008 R7
No problem, we've got 8071 and 8 for the division.

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 (0) of the dividend behind the 0 and repeat the process: 0 / 8

Step 2:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 0 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 8

Step 3:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 100
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 8

Step 4:
8 goes into 71 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 1008
Subtract 64 from 71 to get 7.

The final result is 1008 with a remainder of 7.