41772 ÷ 6 = 6962 R0
Alright, let's work through the division of 41772 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 (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 (7) of the dividend behind the 5 and repeat the process: 57 / 6

Step 3:
6 goes into 57 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 69
Subtract 54 from 57 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 4:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 696
Subtract 36 from 37 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 5:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 6962
Subtract 12 from 12 to get 0.

The final result is 6962 with a remainder of 0.