93111 ÷ 9 = 10345 R6
Alright, let's work through the division of 93111 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 (3) of the dividend behind the 0 and repeat the process: 3 / 9

Step 2:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 9

Step 3:
9 goes into 31 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 27 from 31 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 4:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 1034
Subtract 36 from 41 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: 10345
Subtract 45 from 51 to get 6.

The final result is 10345 with a remainder of 6.