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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.

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Why should the remainder be less than the divisor

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

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

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


Can a divisor be less than a remainder?

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


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!


Is the remainder greater than or less than the divisor?

less than


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 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.


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 is divided by 36 with remainder 51?

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


Is the divisor always less than the remainder?

because the divisor wont work when you multiply it??


What is the largest remainder possible if the divisor is 63?

62. One less than the divisor.


Can you divide by 4 and get the remainder of 5?

no. The remainder should be less than the divisor. If you get a remainder of 5 and did not make any other mistake, add one to the quotient and the remainder will be 1.


What is the greatest possible remainder if the divisor is 25?

24. It is always one less than the divisor.