91375 ÷ 9 = 10152 R7
Alright, let's work through the division of 91375 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 (3) of the dividend behind the 1 and repeat the process: 13 / 9

Step 3:
9 goes into 13 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 101
Subtract 9 from 13 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 9

Step 4:
9 goes into 47 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 1015
Subtract 45 from 47 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Step 5:
9 goes into 25 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 10152
Subtract 18 from 25 to get 7.

The final result is 10152 with a remainder of 7.