44568 ÷ 8 = 5571 R0
Alright, let's work through the division of 44568 by 8 step by step.

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 (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 3:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 55
Subtract 40 from 45 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 8

Step 4:
8 goes into 56 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 557
Subtract 56 from 56 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 8

Step 5:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 5571
Subtract 8 from 8 to get 0.

The final result is 5571 with a remainder of 0.