96764 ÷ 9 = 10751 R5
Alright, let's work through the division of 96764 by 9 step by step.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 2:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 3:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 63 from 67 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Step 4:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1075
Subtract 45 from 46 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 5:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 10751
Subtract 9 from 14 to get 5.

The final result is 10751 with a remainder of 5.