36033 ÷ 9 = 4003 R6
Alright, let's work through the division of 36033 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 (6) of the dividend behind the 3 and repeat the process: 36 / 9

Step 2:
9 goes into 36 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 36 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 9

Step 3:
9 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 40
Subtract 0 from 0 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 9

Step 4:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 400
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 9

Step 5:
9 goes into 33 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 4003
Subtract 27 from 33 to get 6.

The final result is 4003 with a remainder of 6.