Division is a fundamental operation in mathematics that involves the distribution of a quantity into equal parts. It is the opposite of multiplication and is used to find out how many times one number (the divisor) is contained within another number (the dividend).

**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 after division that cannot be evenly divided by the divisor.

**Long Division:**A method of dividing one number by another using repeated subtraction and bringing down digits.**Short Division:**A quicker method of division, often used for simpler problems or with smaller numbers.**Division with Decimals:**Division involving numbers with decimal points.

**Identity Property:**The quotient of any number divided by 1 is the number itself.**Zero Property:**The quotient of 0 divided by any number is 0.**Division by Zero:**Division by zero is undefined in mathematics.

Here are some sample division problems to practice:

- To divide by a power of 10, simply move the decimal point to the left the same number of places as the number of zeros in the power of 10.
- To check your division, multiply the quotient by the divisor and add the remainder, if any. The result should be equal to the dividend.

By understanding the principles and practicing division problems, you can become proficient in this fundamental mathematical operation.

Study GuideRational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand meanings of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.