53403 ÷ 9 = 5933 R6
Alright, let's work through the division of 53403 by 9 step by step.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 9

Step 2:
9 goes into 53 5 times with a remainder of 8.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 53 to get 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 9

Step 3:
9 goes into 84 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 59
Subtract 81 from 84 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 9

Step 4:
9 goes into 30 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 593
Subtract 27 from 30 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: 5933
Subtract 27 from 33 to get 6.

The final result is 5933 with a remainder of 6.