50557 ÷ 4 = 12639 R1
Alright, let's work through the division of 50557 by 4 step by step.

Step 1:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 5 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 2:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 8 from 10 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Step 3:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 126
Subtract 24 from 25 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

Step 4:
4 goes into 15 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 1263
Subtract 12 from 15 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 5:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 12639
Subtract 36 from 37 to get 1.

The final result is 12639 with a remainder of 1.