9911 ÷ 6 = 1651 R5
Alright, let's work through the division of 9911 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 6

Step 2:
6 goes into 39 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 39 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 3:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 165
Subtract 30 from 31 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 4:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1651
Subtract 6 from 11 to get 5.

The final result is 1651 with a remainder of 5.