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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.
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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 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 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!
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.
Can the quotient be bigger than the divisor?
most definitely, especially if the divisor is a negative number
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.
Can a divisor be less than a remainder?
No it shouldn't because the divisor should always be bigger.
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
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.
Can the remanider in a division problem ever equal the divisor?
No, cause the remainder might be bigger than divisor.
Why cant six be the remainder of six?
If you divide correctly, the remainder will always be less than the divisor.
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!
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.
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.
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 is division greater than remainder?
If the remainder were greater than the divisor, you'd be able to take another divisor out of it.
