41266 ÷ 6 = 6877 R4
Let's divide 41266 by 6.

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 (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 2:
6 goes into 41 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 36 from 41 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 3:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 68
Subtract 48 from 52 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 4:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 687
Subtract 42 from 46 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 5:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 6877
Subtract 42 from 46 to get 4.

The final result is 6877 with a remainder of 4.