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Q: Is the remainder greater than or 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!

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.

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.

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.

If the remainder were greater than the divisor, you'd be able to take another divisor out of it.

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

No.

The remainder CAN'T be greater than the divisor, not if you do the division correctly.

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!

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.

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