7012 ÷ 8 = 876 R4
Alright, let's work through the division of 7012 by 8 step by step.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 2:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 70 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 3:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 87
Subtract 56 from 61 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 8

Step 4:
8 goes into 52 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 876
Subtract 48 from 52 to get 4.

The final result is 876 with a remainder of 4.