Vending Machine - Tell User Combination Of Coins That Equals To Amount Of Change

I have a simple java program to write which tells the user combination of coins that equals to the amount of change i.e:

user input 87

output:

3 quarters
1 dime
0 nickels
2 pennies

How the program remembers the remainder which is passed to the next column of let say dime

i.e

originalAmount = amount;
quarters = amount /25;
amount = amount % 25; <---- this is confusing for me?!?! how can the integer = integer % 25
dimes = amount / 10; <--- HOW THE PROGRAM remembers the "remainder" instead of the original user input as the code it self tells you dimes = amount where "amount" is what user input NOT remainder.

amount = amount % 10;
so on ....;

What I don't understand is HOW this algorithm works. I mean we have int amount where user inputs the number we get the first calculation amount/25 = how many quarters and then amount %25 WILL tell us about the reminder. By looking at this piece of code I would say that the system should start the calculation for the dimes again from the original number since the code says dimes = amount/10 AND amount = amount%10. My understanding is that the calculation should be done from the original user input.

Book or code it self is not clear for me how the reminder is "REMEMBERED" and then pass on to the next calculation>!?!?

UNLESS the code: amount=amount%25 gets the remainder so the next code under it is REQUIRED to read from the last prompt code.