77688 ÷ 9 = 8632 R0
Alright, let's work through the division of 77688 by 9 step by step.

Step 1:
9 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 (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 2:
9 goes into 77 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 72 from 77 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Step 3:
9 goes into 56 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 86
Subtract 54 from 56 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 9

Step 4:
9 goes into 28 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 863
Subtract 27 from 28 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 9

Step 5:
9 goes into 18 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 8632
Subtract 18 from 18 to get 0.

The final result is 8632 with a remainder of 0.