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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.

The problem would not end

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

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

No.

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)

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.

less than

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

No. If your remainder is greater than your divisor that means you haven't finished dividing as much as you can yet. For example, if you divide 100 by 10 and get 9 with a remainder of 10, that means that you can still divide once more to find the final answer of 10.

Then divide the remainder again by the divisor until you get a remainder smaller than your divisor or an remainder equal to zero. The remainder in a division question should never be larger than the "divisor", but the remainder often is larger than the "answer" (quotient). For example, if 435 is divided by 63, the quotient is 22 and the remainder is 57.

Yes, provided the divisor is greater than 5.

the quotient would be wrong

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

Increase the whole number by 1, and subtract the value of the remainder from the divisor. For example - if you had the total... 99 & 42/29.. you would rewrite it as 100 & 13/29

The answer depends on the divisor - which must me greater than 3.

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.

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!

All divisors greater than 24, ie 25, 26, 27, ... can give a remainder of 24 when divided into something, as long as that something is 24 greater than a multiple of the divisor being used.The largest remainder any divisor can give is one less than the divisor itself - otherwise another chunk of the divisor can be removed and one added to the (integer part of the) quotient.

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.

A negative number or any number that is greater than or equal to 7.

7k+3 where k is the divisor, an integer greater than 3.