44005 ÷ 6 = 7334 R1
Alright, let's work through the division of 44005 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 (0) of the dividend behind the 2 and repeat the process: 20 / 6

Step 4:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 733
Subtract 18 from 20 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Step 5:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 7334
Subtract 24 from 25 to get 1.

The final result is 7334 with a remainder of 1.