Missing Dividend Calculator

Enter the divisor, quotient, and remainder to calculate the missing dividend.

Calculate the Dividend from Divisor, Quotient, and Remainder

Dividend

What Is a Dividend?

In division, the dividend is the number being divided. For example, in \( a \div b \): \( a \) is the dividend, \( b \) is the divisor. There is a clear relationship between the dividend, divisor, quotient, and remainder, expressed by the formula: \( Dividend = Divisor \times Quotient + Remainder \)

This formula shows how to calculate the dividend using the divisor, quotient, and remainder.

Examples

Example 1: Divisor = 187, Quotient = 3078, Remainder = 96. What is the dividend?

Solution:

\( Dividend = 187 \times 3078 + 96 = 575586 + 96 = 575682 \)

Result: The dividend is 575682.

Example 2: Divisor = 85, Quotient = 79, Remainder = 4. What is the dividend?

Solution:

\( Dividend = 85 \times 79 + 4 = 6715 + 4 = 6719 \)

Result: The dividend is 6719.

Example 3: Divisor = 21, Quotient = 43, Remainder = 19. What is the dividend?

Solution:

\( Dividend = 21 \times 43 + 19 = 903 + 19 = 922 \)

Result: The dividend is 922.