When we divide one number by another, we often get two important results: the quotient and the remainder. The quotient is how many times one number goes into another completely, and the remainder is what's left over.

To find the quotient and remainder, we divide one number (called the dividend) by another (called the divisor). The quotient is the number of times the divisor goes into the dividend, and the remainder is what's left over.

We can express division with quotient and remainder like this:

\[ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} \]

Or in mathematical notation:

\[ a = (b \times q) + r \]

Where:

- \(a\) is the dividend (the number being divided)
- \(b\) is the divisor (the number we're dividing by)
- \(q\) is the quotient (how many times \(b\) goes into \(a\))
- \(r\) is the remainder (what's left over)

- Start with your dividend (a) and divisor (b)
- Divide a by b
- The whole number part of the result is your quotient (q)
- Multiply the quotient (q) by the divisor (b)
- Subtract this result from the dividend (a)
- What's left is your remainder (r)

Let's use a fun example with candy bars:

Imagine you have 17 candy bars to share equally among 4 friends.

17 ÷ 4 = 4 remainder 1

So, the quotient is 4 and the remainder is 1

Let's show this with a picture:

In this picture, each row represents the candy bars one friend gets (4 candy bars each). The red square at the top right is the leftover candy bar. This shows that when we divide 17 by 4, we get a quotient of 4 (4 candy bars for each of the 4 friends) and a remainder of 1 (1 candy bar left over).

We can create a free, personalized calculator just for you!

Contact us and let's bring your idea to life.

Category
Loan
Tax
Interest
Investment
Profit & Loss
Credit and Debt Planning
Algebra
Statistics
Matrix
Number
Plane Geometry
Solid Geometry
Trigonometry
Construction
Analytic Geometry
Math graphing
Color Converter
Numeral system
Unit
Energy
Temperature
Power
Frequency
Charge
Voltage
Lighting
Classic Physic
Electronic
Engineering
Chemistry
Electrical
Date
Time
Commemorative days
Observance days
Health and medicine
Family and Fun
Weather
Webmaster tools