14091 ÷ 6 = 2348 R3
Alright, let's work through the division of 14091 by 6 step by step.

Step 1:
6 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 (4) of the dividend behind the 1 and repeat the process: 14 / 6

Step 2:
6 goes into 14 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 12 from 14 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 6

Step 3:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 23
Subtract 18 from 20 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 4:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 234
Subtract 24 from 29 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Step 5:
6 goes into 51 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 2348
Subtract 48 from 51 to get 3.

The final result is 2348 with a remainder of 3.