Division
Division is a mathematical operation used to split a group of items into equal parts or to find out how many times one number is contained in another.
Division Terminology
- 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 when the dividend is not evenly divisible by the divisor.
Division Symbols
The division operation is denoted by the division symbol ÷ or the forward slash /.
Division Properties
- Division by 1: Any number divided by 1 is equal to the number itself.
- Division by 0: Division by zero is undefined.
- Division of Zero: Any number divided by zero is equal to zero.
Division Methods
There are different methods for performing division, such as:
- Long Division: A step-by-step process for dividing larger numbers.
- Short Division: A quicker method used for simple division problems.
Division Examples
Example 1: Divide 12 by 3
12 ÷ 3 = 4
Example 2: Divide 20 by 7 (with remainder)
20 ÷ 7 = 2 with a remainder of 6
Division Practice
Now that you have learned about division, it's time to practice some problems. See if you can solve the following division questions:
Good luck with your division practice!
[Division] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Fifth Grade. Division
Study Guide
Division 
Activity Lesson
Matching Division Cards Worksheet/Answer key
Division Worksheet/Answer key
Division Worksheet/Answer key
Division Worksheet/Answer key
Division Worksheet/Answer key
Division Worksheet/Answer key
Division Vocabulary/Answer key
Division
Activity LessonWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyVocabulary/Answer keyThe resources above cover the following skills:
Number and Operations (NCTM)
Compute fluently and make reasonable estimates.
Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Grade 5 Curriculum Focal Points (NCTM)
Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers
Students apply their understanding of models for division, place value, properties, and the relationship of division to multiplication as they develop, discuss, and use efficient, accurate, and generalizable procedures to find quotients involving multi-digit dividends. They select appropriate methods and apply them accurately to estimate quotients or calculate them mentally, depending on the context and numbers involved. They develop fluency with efficient procedures, including the standard algorithm, for dividing whole numbers, understand why the procedures work (on the basis of place value and properties of operations), and use them to solve problems. They consider the context in which a problem is situated to select the most useful form of the quotient for the solution, and they interpret it appropriately.
Connections to the Grade 5 Focal Points (NCTM)
Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).