55368 ÷ 4 = 13842 R0
Alright, let's work through the division of 55368 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 (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 3:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 138
Subtract 32 from 33 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 4

Step 4:
4 goes into 16 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 1384
Subtract 16 from 16 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 4

Step 5:
4 goes into 8 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 13842
Subtract 8 from 8 to get 0.

The final result is 13842 with a remainder of 0.