737 ÷ 9 = 81 R8
Alright, let's work through the division of 737 by 9 step by step.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 9

Step 2:
9 goes into 73 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 72 from 73 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 3:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 81
Subtract 9 from 17 to get 8.

The final result is 81 with a remainder of 8.