55754 ÷ 4 = 13938 R2
Alright, let's work through the division of 55754 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 (5) of the dividend behind the 1 and repeat the process: 15 / 4

Step 2:
4 goes into 15 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 12 from 15 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 3:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 139
Subtract 36 from 37 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: 1393
Subtract 12 from 15 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 4

Step 5:
4 goes into 34 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 13938
Subtract 32 from 34 to get 2.

The final result is 13938 with a remainder of 2.