4542 ÷ 9 = 504 R6
Alright, let's work through the division of 4542 by 9 step by step.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 9

Step 2:
9 goes into 45 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 45 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 9

Step 3:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 50
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 9

Step 4:
9 goes into 42 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 504
Subtract 36 from 42 to get 6.

The final result is 504 with a remainder of 6.