6597 ÷ 9 = 733 R0
Let's divide 6597 by 9.

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 (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 2:
9 goes into 65 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 65 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 9

Step 3:
9 goes into 29 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 73
Subtract 27 from 29 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 9

Step 4:
9 goes into 27 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 733
Subtract 27 from 27 to get 0.

The final result is 733 with a remainder of 0.