96684 ÷ 9 = 10742 R6
We're going to perform division on 96684 with 9 as the divisor.

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 (6) of the dividend behind the 6 and repeat the process: 66 / 9

Step 3:
9 goes into 66 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 63 from 66 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 9

Step 4:
9 goes into 38 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 1074
Subtract 36 from 38 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 9

Step 5:
9 goes into 24 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 10742
Subtract 18 from 24 to get 6.

The final result is 10742 with a remainder of 6.