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What Is A Dividend?

What Is A Dividend

Addition, subtraction, multiplication, and division are the most basic math operations. A number can be divided through repeated subtraction. Example, the result of 12 divided by 3 can be obtained by repeatedly subtracting 3 from 12 till you get zero. 3 had to be subtracted consecutively 4 times to get the result. i.e. 12 divided 3 = 4. It can be termed through the following expression

Dividend divided by divisor = quotient

The dividend is the number that is divided, the number that divides the divided is the divisor and the quotient is the result. Simply put if you take a fraction 5/6, 4 is the dividend and also the numerator of a fraction and 6 is the divisor and is the denominator of the fraction. The result of this is a decimal value and is the quotient. To learn the division facts and to learn how to divide large dividends it is essential to learn 2 digit dividends with 1 digit divisors through long division.

How to Find a Dividend?
Division of a number can be done using the below formula
Dividend / divisor = quotient
with dividend being the number that you divide up. The above formula can be used to find the dividend.
Dividend – quotient multiplied by divisor.
Ex: x/30 = 5
Using the formula Dividend/Divisor = quotient where x is the dividend
Dividend = quotient × divisor
So x = 30 × 5 = 150

If there is a reminder:
Dividend / Divisor = Dividend or Quotient ÷ Divisor = Quotient
Reminder – The number left over when one number is divided by another number: The
remainder added to the product of the quotient multiplied by the divisor equals the dividend.
If there is a remainder, then
Dividend = Quotient x Divisor + Remainder
Ex 1: 55/9 = 6 and 1
Where 55 is the dividend and 9 is the divisor. The quotient is 6 and 1 is the reminder.
Ex 2: x/7 = 3 and 1 is the reminder. Where 7 is the divisor, 3 is the quotient and 1 is the reminder. To find the dividend use
Dividend = Quotient X Divisor + Remainder = 3 X 7+ 1 = 22. So the dividend is 22

Division Notations
The division notation has a bearing on the location of the dividend and the divisor. When “÷” or “/” is used to represent division, the dividend is on the left and the divisor is on the right of the symbol. Ex: 21/7 where 21 is the numerator and also the dividend and 7 is the denominator and the divisor. But if the problem has to be solved using long division then the location of the dividend and divisor are revised. The divisor appears to the right and the dividend to the left or below the division bracket.

The divisor, dividend, quotient, and remainder will help you to verify the answer that you get from a division. If any reminder is left, then add that to the product of quotient and divisor, the sum of it is the dividend.

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