54598 ÷ 9 = 6066 R4
Alright, let's work through the division of 54598 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 (4) of the dividend behind the 5 and repeat the process: 54 / 9

Step 2:
9 goes into 54 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 54 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 9

Step 3:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 60
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 4:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 606
Subtract 54 from 59 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: 6066
Subtract 54 from 58 to get 4.

The final result is 6066 with a remainder of 4.