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Is the remainder greater than or less than the divisor?

Updated: 8/21/2019
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Q: Is the remainder greater than or less than the divisor?
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Why must the remainder be less than the divisor?

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!


Why should the remainder be less than the 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.


Is the remainder always greater than or less than the divisor?

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


Why is the remainder less than the 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.


In division why should the remainder not be greater then 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.


Why does the remainder be greater then the divvisor?

The remainder can be greater than the divisor when the dividend is significantly larger than the divisor. In division, the remainder is the amount that is left over after dividing the dividend by the divisor. If the dividend is much larger than the divisor, it is likely that the remainder will also be larger than the divisor.


Why is division greater than remainder?

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


When dividing can a remainder be greater than the divisor?

No.


Why should the remainder not be greater than the divisor?

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!


What divisors give you a remainder of 24?

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.


How big can a remainder be and why?

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.


What divisors can you get a remainder of 8 when you divide a 3 digit by a 1 digit and why?

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