41091 ÷ 9 = 4565 R6
Alright, let's work through the division of 41091 by 9 step by step.

Step 1:
9 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 (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 2:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 41 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 9

Step 3:
9 goes into 50 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 45
Subtract 45 from 50 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 4:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 456
Subtract 54 from 59 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Step 5:
9 goes into 51 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 4565
Subtract 45 from 51 to get 6.

The final result is 4565 with a remainder of 6.