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Q: Why should the remainder not be greater 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.

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

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.

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

The problem would not end

No.

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

Your quotient that you arrived at is too small. Increase the answer for the quotient, so that the remainder is from zero to (divisor minus one)

less than

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.

9. The divisor must be greater than the remainder. A 1 digit divisor that is greater than 8 can only be 9.

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