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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.

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Q: What if your remainder is bigger than your answer?
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Related questions

Is there a such thing as a remainder being bigger than the quotient?

Yes, certainly. A quotient is the result of division ( a divisor into a dividend). The remainder can be bigger than the quotient, but not bigger than the divisor. For example 130 divided by 20 =6 with remainder of 10. Here 6 is the quotient and remainder is 10, which is bigger than the quotient


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.


Is 4 bigger or less than 4 with a remainder?

"4" is less than "4 with a remainder".


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


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.


In modular arithmetic must the modular always be greater than the remainder?

Yes, because that is how remainder is defined. If the remainder was bigger, you would subtract one (or more) modular values until the remainder became smaller than the modulus.


Can a divisor be less than a remainder?

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


Can the remainder be bigger then the quotient?

no


How many times 35 go to 160?

Since 160 is bigger than 35, it goes in 0 times, with a remainder of 35.


Can the remanider in a division problem ever equal the divisor?

No, cause the remainder might be bigger than divisor.


How do you make a division problem?

You do something called the amazing disco. First you divide the bigger number by the remainder, than multiply by 6 than you add 52 and there you got your answer! ( Just joking)


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!