Quotient

Definition

The quotient is the result of dividing one number by another. It shows how many times the divisor fits into the dividend without considering the remainder.

5 Must Know Facts For Your Next Test

1. In base systems, converting a number often involves finding quotients as part of repeated division.
2. When dividing in different base systems, both the dividend and divisor must be converted to the same base before performing division.
3. The quotient in any base system can be found using a similar process to division in base 10, but requires understanding place values within that specific base.
4. In modular arithmetic, which is used in some base system conversions, the quotient may not always be an integer.
5. Dividing binary numbers (base-2) to find a quotient follows similar rules but operates only with digits 0 and 1.

Review Questions

• What is the quotient when dividing 15 by 3?
• How do you determine the quotient when converting numbers between different bases?
• Explain how finding a quotient might differ when working with binary numbers compared to decimal numbers.

Related terms

Dividend: The number being divided in a division operation.

Divisor: The number by which another number is divided.

Remainder: The amount left over after division when one number does not divide another exactly.