12584 ÷ 9 = 1398 R2
We're going to perform division on 12584 with 9 as the divisor.

Step 1:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 9

Step 2:
9 goes into 12 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 12 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Step 3:
9 goes into 35 3 times with a remainder of 8.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 27 from 35 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 9

Step 4:
9 goes into 88 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 139
Subtract 81 from 88 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 9

Step 5:
9 goes into 74 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1398
Subtract 72 from 74 to get 2.

The final result is 1398 with a remainder of 2.