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Calculator for Integer Division
A tool for calculating integer parts, if a certain amount should be divided as fair as possible. This method avoids fractions, but usually, not everyone receives the same amount. The amount is divided equally (into equal parts) only if the amount to be divided is an integer multiple of the number of divisors. Otherwise, the parts will not be equal. However, the difference in the size of the parts is at most one.
Please specify the size of the amount to be distributed and the number of divisions, for example, how many people it should be divided among. The number of divisions corresponds to the number of recipients. The tool will output how many recipients receive which portion of the amount.
For large amounts, this calculation might take a while!
An example: if ten plates should be shared between four people, the fairest possible method is to give two people three plates and two people two plates.
Such a method of distribution is necessary when all the elements of an amount need to be distributed, but cannot be further subdivided. Like the plates in the example above. A plate can be used for something, while a fraction of a plate is broken and worthless. If the distribution isn't fair, it can be tried to achieve justice by other means. This could involve paying sums of money as compensation, from those who received more to those who received less. Or more pieces could be given to those recipients who have made certain contributions or achievements.
The practical distribution using this method works as follows: The recipients are placed in a circle, then the first one receives a piece, the second one, and so on. Once all recipients have received something, the first one gets another, then the second, and so on. This continues until there is nothing left. The internal calculations with this program work essentially the same way.
Last updated on 01/04/2026. Author: Jürgen Kummer
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