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Q: Why should the remainder be less than the divisor?

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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!

If the remained was bigger than the divisor than the divisor could still be taken out of the remainder

Any number less than eight.

Because if the remainder is bigger than the divisor, the quotient can be increased and that will reduce the remainder. You can keep doing as long as the remainder is larger than the divisor. You stop only when it becomes smaller.

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

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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!

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

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

less than

If the remainder is greater than the divisor then you can divide it once more and get one more whole number and then have less remainders.

Because if the remainder was larger than the divisor, then the divisor could go into the dividend again.

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.

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.

Nothing. The remainder has to be less than the divisor.

because the divisor wont work when you multiply it??

62. One less than the divisor.

24. It is always one less than the divisor.

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