4440 ÷ 8 = 555 R0
We're going to perform division on 4440 with 8 as the divisor.

Step 1:
8 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 / 8

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

Step 3:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 55
Subtract 40 from 44 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 8

Step 4:
8 goes into 40 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 555
Subtract 40 from 40 to get 0.

The final result is 555 with a remainder of 0.