5624 ÷ 9 = 624 R8
Let's divide 5624 by 9.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Step 2:
9 goes into 56 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 56 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 9

Step 3:
9 goes into 22 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 62
Subtract 18 from 22 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 9

Step 4:
9 goes into 44 4 times with a remainder of 8.
Write down 4 as next digit of of the result. 
Result so far: 624
Subtract 36 from 44 to get 8.

The final result is 624 with a remainder of 8.