The quotient is the result of a division, while the remainder is what is left over after the division.
To fully understand these terms, let's break down the components of a division problem:
- Dividend: The number being divided.
- Divisor: The number by which the dividend is divided.
- Quotient: The result of the division.
- Remainder: The amount left over if the divisor doesn't divide the dividend evenly.
According to the reference provided, "The number remaining after division is known as the remainder, and the result produced through the division process is known as the quotient".
Here's an example to illustrate:
Let's say we divide 17 by 5.
- Dividend: 17
- Divisor: 5
- Quotient: 3 (because 5 goes into 17 three times: 5 x 3 = 15)
- Remainder: 2 (because 17 - 15 = 2)
