5599 ÷ 9 = 622 R1
We're going to perform division on 5599 with 9 as the divisor.

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 (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 2:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 55 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 9

Step 3:
9 goes into 19 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 62
Subtract 18 from 19 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 9

Step 4:
9 goes into 19 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 622
Subtract 18 from 19 to get 1.

The final result is 622 with a remainder of 1.