91410 ÷ 9 = 10156 R6
Alright, let's work through the division of 91410 by 9 step by step.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 9

Step 2:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 1 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 3:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 101
Subtract 9 from 14 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Step 4:
9 goes into 51 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 1015
Subtract 45 from 51 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

Step 5:
9 goes into 60 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 10156
Subtract 54 from 60 to get 6.

The final result is 10156 with a remainder of 6.