95664 ÷ 9 = 10629 R3
Alright, let's work through the division of 95664 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 (5) of the dividend behind the 0 and repeat the process: 5 / 9

Step 2:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 5 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: 106
Subtract 54 from 56 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 9

Step 4:
9 goes into 26 2 times with a remainder of 8.
Write down 2 as next digit of of the result. 
Result so far: 1062
Subtract 18 from 26 to get 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 9

Step 5:
9 goes into 84 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 10629
Subtract 81 from 84 to get 3.

The final result is 10629 with a remainder of 3.