76766 ÷ 8 = 9595 R6
Let's divide 76766 by 8.

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 (6) of the dividend behind the 7 and repeat the process: 76 / 8

Step 2:
8 goes into 76 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 76 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 8

Step 3:
8 goes into 47 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 40 from 47 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 8

Step 4:
8 goes into 76 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 959
Subtract 72 from 76 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 8

Step 5:
8 goes into 46 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 9595
Subtract 40 from 46 to get 6.

The final result is 9595 with a remainder of 6.