311 ÷ 9 = 34 R5
Alright, let's work through the division of 311 by 9 step by step.

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

Step 2:
9 goes into 31 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 27 from 31 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Step 3:
9 goes into 41 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 34
Subtract 36 from 41 to get 5.

The final result is 34 with a remainder of 5.