Sal divides a rational expression using long division. [3:24]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

A tutorial with step-by-step examples to learn how to divide two polynomials. The site offers a list of steps to successfully divide polynomials using long division.

This video lesson demonstrates long division of a two-digit number by a one-digit number, where the answer will contain a repeating decimal. It is 1 of 10 in the series titled "Dividing Two-Digit Numbers by One-Digit Numbers Repeating." Includes short multiple-choice quiz. [2:07]

This video lesson demonstrates long division of a two-digit number by a one-digit number, where the answer will contain a repeating decimal. It is 4 of 10 in the series titled "Dividing Two Digit Numbers by One Digit Numbers Repeating." Includes short multiple-choice quiz. [2:28]

This video demonstrates division of two-digit numbers by two- or three-digit numbers. This lesson is 1 of 19 in the series titled "Dividing Two-Digit Numbers by Two or Three-Digit Numbers." Includes short multiple-choice quiz. [4:19]

On this site, division worksheets can be downloaded and printed for free. Students can practice division facts, long division with and without remainders, and long division with decimal quotients.

In this video, the instructor demonstrates how his "Exploding Dots" method of division reflects the standard algorithm of long division. He presents side-by-side examples of 276 divided by 12 using the two methods and explains how they are actually doing the same things. The video is accompanied by a written explanation of the lesson. This lesson is part of a larger module on the "Exploding Dots" technique, which can be accessed under the "Courses" tab at the top. [6:03]

Demonstrates long division with decimals using the example of 6.7 divided by 2.211. [4:10]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Gain a basic understanding of long division with 2-digit divisors by watching this easy to understand video tutorial. Additional resources are available as part of a paid subscription service. [13:04]

Fractions and Decimals

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Multiply and divide whole numbers and decimals.
Multiply a fraction by a whole number.
Multiply a fraction by another fraction.
Write fractions in equivalent forms, including converting between improper fractions and mixed numbers.
Understand the meaning and structure of decimal numbers.

Lesson Flow

This unit extends students’ learning from Grade 5 about operations with fractions and decimals.

The first lesson informally introduces the idea of dividing a fraction by a fraction. Students are challenged to figure out how many times a 14-cup measuring cup must be filled to measure the ingredients in a recipe. Students use a variety of methods, including adding 14 repeatedly until the sum is the desired amount, and drawing a model. In Lesson 2, students focus on dividing a fraction by a whole number. They make a model of the fraction—an area model, bar model, number line, or some other model—and then divide the model into whole numbers of groups. Students also work without a model by looking at the inverse relationship between division and multiplication. Students explore methods for dividing a whole number by a fraction in Lesson 3, for dividing a fraction by a unit fraction in Lesson 4, and for dividing a fraction by another fraction in Lesson 6. Students examine several methods and models for solving such problems, and use models to solve similar problems.

Students apply their learning to real-world contexts in Lesson 6 as they solve word problems that require dividing and multiplying mixed numbers. Lesson 7 is a Gallery lesson in which students choose from a number of problems that reinforce their learning from the previous lessons.

Students review the standard long-division algorithm for dividing whole numbers in Lesson 8. They discuss the different ways that an answer to a whole number division problem can be expressed (as a whole number plus a remainder, as a mixed number, or as a decimal). Students then solve a series of real-world problems that require the same whole number division operation, but have different answers because of how the remainder is interpreted.

Students focus on decimal operations in Lessons 9 and 10. In Lesson 9, they review addition, subtraction, multiplication, and division with decimals. They solve decimal problems using mental math, and then work on a card sort activity in which they must match problems with diagram and solution cards. In Lesson 10, students review the algorithms for the four basic decimal operations, and use estimation or other methods to place the decimal points in products and quotients. They solve multistep word problems involving decimal operations.

In Lesson 11, students explore whether multiplication always results in a greater number and whether division always results in a smaller number. They work on a Self Check problem in which they apply what they have learned to a real-world problem. Students consolidate their learning in Lesson 12 by critiquing and improving their work on the Self Check problem from the previous lesson. The unit ends with a second set of Gallery problems that students complete over two lessons.

Students review the standard long-division algorithm and discuss the different ways the answer to a whole-number division problem can be expressed (as a whole number plus a remainder, as a mixed number, or as a decimal).Students solve a series of real-world problems that require the same whole number division operation, but have different answers because of how the remainder is interpreted.Key ConceptsStudents have been dividing multidigit whole numbers since Grade 4. By the end of Grade 6, they are expected to be fluent with the standard long-division algorithm. In this lesson, this algorithm is reviewed along with the various ways of expressing the answer to a long division problem. Students will have more opportunities to practice the algorithm in the Exercises.Goals and Learning ObjectivesReview and practice the standard long-division algorithm.Answer a real-world word problem that involves division in a way that makes sense in the context of the problem.

Planet Nutshell Math Shorts provide animated videos that explain various math topics. In this video, students learn about long division. [2:00]

Demonstrates the long form of division, where there is no remainder, with the sample problem of 280 / 5. [3:43]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Provides all the tools needed to learn how to divide any pair of polynomials using synthetic or long division. [8:42]

Create customized division worksheets. Choose from single-digit divisors into three-digit dividends up to three-digit divisors into five-digit dividends. The size of problem set can be selected, as well as whether the format will be standard or horizontal. An answer key can also be generated.

Presents several examples of how to use long division to divide a 1-digit number into large numbers. [10:07]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Demonstrates how to solve division of a multi-digit number by a 1-digit number using long division when there is a remainder. [10:07]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.