Calculator for Partition with Remainder

Calculates the partition of an amount, when a certain sum should remain. If, for example, money from an account should be paid in equal parts to several persons and on the account some money should remain. As an effect of rounding, planned rest and remaining rest can differ slightly.

Please specify at least the total amount and the number of parts. The planned rest can be filled in or left blank, in the latter case, it is set to zero. Rounding refers to two decimal places and usually only affects amounts in the cent range, but can amount to more than one cent. The more items being divided into, the greater the difference between rounding up and rounding down. Without a planned rest, rounding up may result in a negative remainder. If this is not desired, simply select rounding down.

Example: 500 € (total amount), of which 100 € have to remain (planned rest), should be divided between three persons. Then everyone gets 133.33 €, 100.01 € remain. Or it is rounded up and everybody gets 133.34 € and 99.98 € remain. Just as well 400 € can be divided between three people without any planned rest. Then each person receives the same amount as before, but the remaining rest is now one cent.

Division with remainder is often taught in school before fractions and is rarely used afterwards. However, it is more than just a step on the way to learning fraction arithmetic. This type of calculation is needed in many mathematical applications and theories, and it also plays an important role in computer science. Division with remainder is also called modulo division, although in this case, often only the integer remainder is of interest, unlike the calculation performed here.

Total amount:
Planned rest:
Number of parts:

Amount per part:
Remaining rest: