55561 ÷ 4 = 13890 R1
No problem, we've got 55561 and 4 for the division.

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 (5) of the dividend behind the 3 and repeat the process: 35 / 4

Step 3:
4 goes into 35 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 138
Subtract 32 from 35 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Step 4:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 1389
Subtract 36 from 36 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 4

Step 5:
4 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 13890
Subtract 0 from 1 to get 1.

The final result is 13890 with a remainder of 1.