44908 ÷ 8 = 5613 R4
Alright, let's work through the division of 44908 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 (9) of the dividend behind the 4 and repeat the process: 49 / 8

Step 3:
8 goes into 49 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 56
Subtract 48 from 49 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Step 4:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 561
Subtract 8 from 10 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 8

Step 5:
8 goes into 28 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 5613
Subtract 24 from 28 to get 4.

The final result is 5613 with a remainder of 4.