55926 ÷ 4 = 13981 R2
Alright, let's work through the division of 55926 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 (9) of the dividend behind the 3 and repeat the process: 39 / 4

Step 3:
4 goes into 39 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 139
Subtract 36 from 39 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 4

Step 4:
4 goes into 32 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 1398
Subtract 32 from 32 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 4

Step 5:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 13981
Subtract 4 from 6 to get 2.

The final result is 13981 with a remainder of 2.