5597 ÷ 3 = 1865 R2
No problem, we've got 5597 and 3 for the division.

Step 1:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 5 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Step 2:
3 goes into 25 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 18
Subtract 24 from 25 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Step 3:
3 goes into 19 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 186
Subtract 18 from 19 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 4:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 1865
Subtract 15 from 17 to get 2.

The final result is 1865 with a remainder of 2.