Missing Divisor Calculator

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

Calculate the Divisor from Dividend, Quotient, and Remainder

Divisor

What Is a Divisor?

In division, the divisor is the number by which the dividend is divided. For example, in \( a \div b \): \( a \) is the dividend, \( b \) is the divisor. There is a clear relationship between the dividend, quotient, remainder, and divisor, expressed by the formula: \( Divisor = \frac{Dividend - Remainder}{Quotient} \) This formula demonstrates how to calculate the divisor based on the dividend, quotient, and remainder.

Examples

Example 1: Dividend = 4371, Quotient = 43, Remainder = 71. What is the divisor?

Solution:

\( Divisor = \frac{4371 - 71}{43} = \frac{4300}{43} = 100 \)

Result: The divisor is 100.

Example 2: Dividend = 3558, Quotient = 25, Remainder = 8. What is the divisor?

Solution:

\( Divisor = \frac{3558 - 8}{25} = \frac{3550}{25} = 142 \)

Result: The divisor is 142.

Example 3: Dividend = 94, Quotient = 9, Remainder = 4. What is the divisor?

Solution:

\( Divisor = \frac{94 - 4}{9} = \frac{90}{9} = 10 \)

Result: The divisor is 10.