557 ÷ 5 = 111 R2
Alright, let's work through the division of 557 by 5 step by step.

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

Step 2:
5 goes into 5 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 5 from 5 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 5

Step 3:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 111
Subtract 5 from 7 to get 2.

The final result is 111 with a remainder of 2.