Equal Sharing
The same amount in every share is fair sharing; what cannot be shared out is the future remainder
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The same amount in every share is fair sharing; what cannot be shared out is the future remainder
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Equal sharing is where division begins: share a pile into groups so that every group gets the same amount. Tap the plates to deal apples in one at a time and find out: when does everything split exactly, and when are some left over? Those leftovers are what division will later call the remainder.
Choose how many plates to use, then tap a plate to move apples in one at a time: when every plate holds the same amount, that is fair sharing. If a few apples are left over at the end, that is "sharing with leftovers" — the groundwork for division.