4401 ÷ 5 = 880 R1
Alright, let's work through the division of 4401 by 5 step by step.

Step 1:
5 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 5

Step 2:
5 goes into 44 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 40 from 44 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 5

Step 3:
5 goes into 40 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 40 from 40 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 5

Step 4:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 880
Subtract 0 from 1 to get 1.

The final result is 880 with a remainder of 1.