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It must be less else you have not divided properly; you could divide again 1 or more times!

If the remainder is equal to the divisor (or equal to a multiple of the divisor) then you could divide again exactly without remainder. If the remainder is greater but not a multiple of the divisor you could divide again resulting in another remainder.

E.g. Consider 9/2. This is 4 remainder 1. Let's say our answer was 3 remainder 3; as our remainder "3" is greater than the divisor "2" we can divide again so we have not carried out our original division correctly!

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Q: Why is the remainder always less than the divisor?

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It SHOULD always be less than the divisor... Otherwise your answer is wrong.

Because if the remainder is greater, then you could "fit" another divisor value into it. if they are equal, then you can divide it easily. Thus, the remainder is always lower than the divisor.

because the divisor wont work when you multiply it??

No it shouldn't because the divisor should always be bigger.

The remainder is less than the divisor because if the remainder was greater than the divisor, you have the wrong quotient. In other words, you should increase your quotient until your remainder is less than your divisor!

Because if the remainder is greater, then you could "fit" another divisor value into it. if they are equal, then you can divide it easily. Thus, the remainder is always lower than the divisor.

24. It is always one less than the divisor.

If you divide correctly, the remainder will always be less than the divisor.

less than

24. The largest remainder is always one less than the number by which you are dividing (the divisor).

28. It is always one less than the divisor.

A remainder can be any non-negative number that is less than the divisor. If the remainder is bigger than the divisor, the divisor can go into it another one (or more) times until the remainder is brought into that range.

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