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Remainders are normally thought of as what's left when you have accounted for as many a possible whole number multiples of the divisor (here 4). But if you have 5 left over then there's another 4 to go. There's no law against it but it would be a bit peculiar to say that 5 divided by 4 is zero with remainder 5. Arguably, you haven't completed the division properly. Try sharing 5 cakes amongst 4 people like that and see what trouble you will get into.

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Q: Could you divide a number by 4 and get a remainder of 5 how?
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