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Q: Can the remainder ever equal the divisor?
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Can the remanider in a division problem ever equal the divisor?

No, cause the remainder might be bigger than divisor.


Is a remainder ever larger than the divisor?

I think that a remainder can be larger than a divisor, but I'm not completely sure.


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 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.


What if your remainder is bigger than your answer?

Then divide the remainder again by the divisor until you get a remainder smaller than your divisor or an remainder equal to zero. The remainder in a division question should never be larger than the "divisor", but the remainder often is larger than the "answer" (quotient). For example, if 435 is divided by 63, the quotient is 22 and the remainder is 57.


What if the remainder is equal to or greater than the divisor what should you do?

Your quotient that you arrived at is too small. Increase the answer for the quotient, so that the remainder is from zero to (divisor minus one)


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!


Why can't the remainder be equal to the divisor?

It might help to think of a division (with remainder) as "evenly distributing" some items - for example, give the same number of apples to each person. The "remainder" is whatever is LESS than the number of people (the divisor), so you can't continue distributing one more apple FOR EACH PERSON. If the remaining apples is greater than the number of people, or equal to them, you can distribute one more for each.


Can the quotient and the divisor ever be equal?

if the dividend is a perfect square and the divisor is its square root


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!


What is the divisor when the dividend is 53 and the quotient is 5 with a remainder of 8?

The divisor is 9. quotient x divisor + remainder = dividend ⇒ quotient x divisor = dividend - remainder ⇒ divisor = (dividend - remainder) ÷ quotient = (53 - 8) ÷ 5 = 45 ÷ 5 = 9


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.