44441 ÷ 8 = 5555 R1
No problem, we've got 44441 and 8 for the division.

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 (4) of the dividend behind the 4 and repeat the process: 44 / 8

Step 4:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 555
Subtract 40 from 44 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 8

Step 5:
8 goes into 41 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 5555
Subtract 40 from 41 to get 1.

The final result is 5555 with a remainder of 1.