37446 ÷ 9 = 4160 R6
Alright, let's work through the division of 37446 by 9 step by step.

Step 1:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 2:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 37 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 3:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 41
Subtract 9 from 14 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Step 4:
9 goes into 54 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 416
Subtract 54 from 54 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 5:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 4160
Subtract 0 from 6 to get 6.

The final result is 4160 with a remainder of 6.