66337 ÷ 9 = 7370 R7
Alright, let's work through the division of 66337 by 9 step by step.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 9

Step 2:
9 goes into 66 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 66 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 9

Step 3:
9 goes into 33 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 73
Subtract 27 from 33 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 9

Step 4:
9 goes into 63 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 737
Subtract 63 from 63 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Step 5:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 7370
Subtract 0 from 7 to get 7.

The final result is 7370 with a remainder of 7.