45909 ÷ 8 = 5738 R5
Alright, let's work through the division of 45909 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 (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 2:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 45 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 3:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 56 from 59 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 4:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 573
Subtract 24 from 30 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 8

Step 5:
8 goes into 69 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 5738
Subtract 64 from 69 to get 5.

The final result is 5738 with a remainder of 5.