33628 ÷ 9 = 3736 R4
Alright, let's work through the division of 33628 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 (3) of the dividend behind the 3 and repeat the process: 33 / 9

Step 2:
9 goes into 33 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 27 from 33 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 9

Step 3:
9 goes into 66 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 37
Subtract 63 from 66 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 9

Step 4:
9 goes into 32 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 373
Subtract 27 from 32 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 5:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 3736
Subtract 54 from 58 to get 4.

The final result is 3736 with a remainder of 4.