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ReneThe 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!
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.
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.
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.
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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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
Which number is a reasonable remainder if the divisor is 8?
Any number less than eight.
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 is the largest remainder you can have when you divide by 29?
28. It is always one less than the divisor.
