What happens if the divisor is bigger than the dividend?

Remember to place a zero in the quotient when the divisor is larger than the dividend. Place the decimal point in your quotient. Check your answer: Multiply the divisor by the quotient to see if you get the dividend.

What happens if the dividend is smaller than the divisor?

Whenever the dividend is less than the divisor, the quotient is always zero which results in the modulus simply being equal to the dividend. As long as they’re both positive, the remainder will be equal to the dividend. … A modulus will always be positive, but a remainder can be negative.

Is the answer to a division problem greater than the dividend?

It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend. If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).

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What is the relationship between a divisor and a dividend?

A dividend is a number that is divided by the divisor. The divisor is the factor that divides the dividend. The result obtained by the division process is called the quotient and the number left behind after the completion of the division is called the remainder.

Why is remainder less than divisor?

Explanation: 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.

What is always less than the divisor?


What is true about the quotient when the dividend is greater than the divisor?

When the divisor is the same size as the dividend, the quotient is 1. When the divisor is larger than the dividend, the quotient is less than 1. Another example where the divisor is larger than the dividend.

What happens when you divide by a number greater than 1?

When you divide by a whole number the answer is smaller than the original number. … When you divide by a number greater than 1, the answer is smaller than the original number.

Can quotient be greater than divisor?

If the remainder is greater than the divisor, it means that the division is incomplete. It can be greater than or lesser than the quotient. For example; when 41 is divided by 7, the quotient is 5 and the remainder is 6. Here the remainder is greater than the quotient.

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Can divisor be equal to remainder?

In the abstract, the classic remainder formula is: Dividend/Divisor = Quotient + Remainder/Divisor. If we multiply through by the Divisor, we get another helpful variant of the remainder formula: Dividend = Quotient*Divisor + Remainder.

How many multiples can a number have?

A number can have an infinite number of multiples. Therefore, any two numbers or set of numbers can have the infinite number of common multiples. The smallest common multiple of two or more numbers is called their Least Common Multiple (LCM). The LCM of 3 and 4 is 12.

What is the relationship between dividend divisor and remainder?

Divisor – The number by which the dividend is to be divided is called the divisor. Quotient – The resultant of the division is called the quotient. Remainder – The number that is left after division is called the remainder.

What is the remainder if 825 is divided by?

6 is the remainder of this division.

Can a remainder be more than 10?

Less Than Ten

Do you see any patterns? A remainder can never be larger than the number you are dividing by (divisor). Even if you are dividing a number by fifty-one (51), you can’t have a remainder greater than or equal to fifty-one.

What is the remainder when 756 is divided by 4?

Frequently Asked Questions on Long Division of 756 by 4

189 times 4 goes into 756 and gives the remainder as 0. 2.