6687 ÷ 8 = 835 R7
Alright, let's work through the division of 6687 by 8 step by step.

Step 1:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 2:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 66 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: 83
Subtract 24 from 28 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 8

Step 4:
8 goes into 47 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 835
Subtract 40 from 47 to get 7.

The final result is 835 with a remainder of 7.