44081 ÷ 6 = 7346 R5
Alright, let's work through the division of 44081 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 (4) of the dividend behind the 4 and repeat the process: 44 / 6

Step 2:
6 goes into 44 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 42 from 44 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: 73
Subtract 18 from 20 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 4:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 734
Subtract 24 from 28 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 5:
6 goes into 41 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 7346
Subtract 36 from 41 to get 5.

The final result is 7346 with a remainder of 5.