55488 ÷ 9 = 6165 R3
Alright, let's work through the division of 55488 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 (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 2:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 55 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 3:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 61
Subtract 9 from 14 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 4:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 616
Subtract 54 from 58 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 5:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 6165
Subtract 45 from 48 to get 3.

The final result is 6165 with a remainder of 3.