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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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โˆ™ 2009-12-01 23:30:00
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Baylie Gilley

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โˆ™ 2021-03-04 02:29:05
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Baylie Gilley

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โˆ™ 2021-03-04 02:29:32

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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โˆ™ 2021-03-04 02:30:10
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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.


Can a divisor be less than a remainder?

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


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.


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

24. It is always one less than the divisor.


Why is the remainder always less 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!


Why cant six be the remainder of six?

If you divide correctly, the remainder will always be less than the divisor.


What number can 36 be divided by with a remainder of 51?

0.7059


How do you determine remainder of divisor of 63?

To determine the remainder, you would take 63 and see how many times your divisor fits into it. That will give you a number, which when multiplied by the divisor will be less than 63, and smaller than the divisor. Subtract the result of your divisors times your quotient from 63, and that number is the remainder.


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.


Explain why the remainder of any division problem must be smaller than the divisor?

what


Why should the remainder not be greater than the divisor?

Because if the remainder was larger than the divisor, then the divisor could go into the dividend again.


Why can't the remainder be bigger than the divisor?

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.


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.


Which number is a reasonable remainder if the divisor is 8?

Any number less than eight.


What is the largest remainder you can have if you divide a number by 7?

The largest remainder will be one less than the divisor. 7 - 1 = 6.


What is the largest remainder you can have when you divide by 25?

24. The largest remainder is always one less than the number by which you are dividing (the divisor).


What is 2 remainder 3 as a fraction?

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

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