40111 ÷ 6 = 6685 R1
Alright, let's work through the division of 40111 by 6 step by step.

Step 1:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 2:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 36 from 40 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 3:
6 goes into 41 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 36 from 41 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Step 4:
6 goes into 51 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 668
Subtract 48 from 51 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 5:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 6685
Subtract 30 from 31 to get 1.

The final result is 6685 with a remainder of 1.