74337 ÷ 6 = 12389 R3
Alright, let's work through the division of 74337 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 (3) of the dividend behind the 2 and repeat the process: 23 / 6

Step 3:
6 goes into 23 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 123
Subtract 18 from 23 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

Step 4:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 1238
Subtract 48 from 53 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 6

Step 5:
6 goes into 57 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 12389
Subtract 54 from 57 to get 3.

The final result is 12389 with a remainder of 3.