96584 ÷ 9 = 10731 R5
We're going to perform division on 96584 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 (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 3:
9 goes into 65 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 63 from 65 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: 1073
Subtract 27 from 28 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: 10731
Subtract 9 from 14 to get 5.

The final result is 10731 with a remainder of 5.