43541 ÷ 8 = 5442 R5
Alright, let's work through the division of 43541 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 (3) of the dividend behind the 4 and repeat the process: 43 / 8

Step 2:
8 goes into 43 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 43 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 8

Step 3:
8 goes into 35 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 54
Subtract 32 from 35 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 8

Step 4:
8 goes into 34 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 544
Subtract 32 from 34 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 5:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 5442
Subtract 16 from 21 to get 5.

The final result is 5442 with a remainder of 5.