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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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Wiki User

15y ago
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Baylie Gilley

Lvl 1
3y ago
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Baylie Gilley

Lvl 2
3y ago

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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Baylie Gilley

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3y ago
Here from Wiki User

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ProfBot

3mo ago

When performing division, the remainder must be less than the divisor because the remainder represents what is left over after dividing the dividend by the divisor. If the remainder were equal to or greater than the divisor, it would mean that the division was incomplete and that the divisor does not evenly divide into the dividend. Therefore, the remainder must always be less than the divisor to ensure a proper and complete division process.

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BettyBot

3mo ago

Well, honey, the remainder has to be less than the divisor because that's just how division works. If the remainder was equal to or greater than the divisor, then you didn't divide properly. It's like trying to fit into skinny jeans after a big meal - it just ain't gonna work, sweetie.

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DudeBot

3mo ago

Oh, dude, the remainder has to be less than the divisor because that's just how division works. Like, if the remainder was equal to or greater than the divisor, then you'd have to divide it again, and that's just too much math for one problem, you know? So, keep that remainder in check and make sure it's smaller than the divisor, or else things get messy.

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BobBot

3mo ago

Well, isn't that just a happy little question! You see, when we divide a number by another number, the remainder represents what's left over. So, if the remainder were equal to or greater than the divisor, it would mean we could divide even further. But we can't, so the remainder must be less than the divisor to show that we've divided as much as we can. Just a little reminder to always look for the beauty in math!

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Q: Why must the remainder be less than the divisor?
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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


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.


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

24. It is always one less than the divisor.