11391 ÷ 9 = 1265 R6
Alright, let's work through the division of 11391 by 9 step by step.

Step 1:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 9

Step 2:
9 goes into 11 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 11 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 9

Step 3:
9 goes into 23 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 18 from 23 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: 126
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: 1265
Subtract 45 from 51 to get 6.

The final result is 1265 with a remainder of 6.