74440 ÷ 6 = 12406 R4
Alright, let's work through the division of 74440 by 6 step by step.

Step 1:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 7 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 6

Step 2:
6 goes into 14 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 14 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 6

Step 3:
6 goes into 24 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 124
Subtract 24 from 24 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 6

Step 4:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 1240
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 5:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 12406
Subtract 36 from 40 to get 4.

The final result is 12406 with a remainder of 4.