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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!

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15y ago

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Related Questions

What is a reasonable remainder?

The remainder must be less than the divisor, otherwise you are not doing the division correctly.


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.


Why must the remainder be smaller than the divisor?

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


Is the remainder greater than or less than the divisor?

less than


Can the remainder in a division problem ever equal the divisor why or why not?

No, the remainder in a division problem cannot equal the divisor. The remainder is defined as the amount left over after division when the dividend is not evenly divisible by the divisor. By definition, the remainder must be less than the divisor; if it were equal to the divisor, it would indicate that the dividend is divisible by the divisor, resulting in a remainder of zero.


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.


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??


Can a divisor be less than a remainder?

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


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

62. One less than the divisor.