# Why can't the remainder of division be larger than the divisor?

Remainder should be always less than divisor.

If a remainder is more than divisor, latter can go one more time and hence division is not complete.

Even if remainder is equal to divisor, it can still go one more time.

Hence remainder has to be less than the divisor.

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In division, the remainder represents what is left over after dividing one number by another. The remainder cannot be larger than the divisor because the remainder is always less than the divisor. This is a fundamental property of division. If the remainder were larger than the divisor, it would imply that the division process did not occur correctly or that the numbers were not divided properly. The remainder is essentially the difference between the dividend (the number being divided) and the product of the quotient (the result of the division) and the divisor. Therefore, by definition, the remainder must be less than the divisor.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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