44926 ÷ 6 = 7487 R4
Alright, let's work through the division of 44926 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 (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 3:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 74
Subtract 24 from 29 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 4:
6 goes into 52 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 748
Subtract 48 from 52 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: 7487
Subtract 42 from 46 to get 4.

The final result is 7487 with a remainder of 4.