Divide and Conquer: Long Division with Remainders!

Mathematics Grades 4th Grade 3:00 Video
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Lesson Description

Learn the steps of long division with remainders using a catchy song! This lesson makes long division easy and fun for 4th graders.

Video Resource

Long Division with Remainders Song | 1 Digit Divisors

Math Songs by NUMBEROCK

Duration: 3:00
Watch on YouTube

Key Concepts

  • Dividend
  • Divisor
  • Quotient
  • Remainder

Learning Objectives

  • Students will be able to identify the dividend, divisor, quotient, and remainder in a division problem.
  • Students will be able to perform long division with one-digit divisors and find the quotient and remainder.
  • Students will be able to express the remainder as a fraction.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what they already know about division. Review the terms dividend, divisor, and quotient. Explain that today they will be learning about long division with remainders using a fun song!
  • Video Viewing (5 mins)
    Play the NUMBEROCK video 'Long Division with Remainders Song | 1 Digit Divisors'. Encourage students to sing along and pay attention to the steps.
  • Divide, Multiply, Subtract, Bring Down (10 mins)
    Write a long division problem on the board (e.g., 632 ÷ 5). Go through each step of the long division process, emphasizing the 'Divide, Multiply, Subtract, Bring Down' steps. Relate each step back to the song. Clearly show how to find the remainder.
  • Remainder as a Fraction (10 mins)
    Explain how to express the remainder as a fraction. The remainder becomes the numerator, and the divisor becomes the denominator. For example, if the remainder is 2 and the divisor is 9, the fraction is 2/9. Show how to write the quotient with the fractional remainder.
  • Practice Problems (10 mins)
    Provide students with practice problems to solve individually or in pairs. Circulate to provide support and answer questions.
  • Wrap-up (5 mins)
    Review the key concepts of long division with remainders. Ask students to summarize the steps in their own words. Play the song again for reinforcement.

Interactive Exercises

  • Long Division Relay Race
    Divide the class into teams. Give each team a long division problem. The first student solves the first step, then passes the problem to the next student to complete the next step, and so on. The team that correctly solves the problem first wins.
  • Create your own long division
    Each student will create their own long division problem and explain how they solved it.

Discussion Questions

  • What are the four steps of long division?
  • How do you know when you have a remainder?
  • How can you write a remainder as a fraction?
  • Where can you access Numberock's additional teaching resources?

Skills Developed

  • Problem-solving
  • Critical Thinking
  • Computational Skills
  • Multi-sensory learning

Multiple Choice Questions

Question 1:

In the problem 25 ÷ 4, what is the dividend?

Correct Answer: 25

Question 2:

What is the first step in long division?

Correct Answer: Divide

Question 3:

In long division, after you divide, what do you do next?

Correct Answer: Multiply

Question 4:

What does the 'R' stand for in a long division problem?

Correct Answer: Remainder

Question 5:

If you have a remainder of 3 and the divisor is 7, what fraction can you make?

Correct Answer: 3/7

Question 6:

Which of the following is another word for groups?

Correct Answer: Divisor

Question 7:

Which of the following is NOT a step in Long Division?

Correct Answer: Add

Question 8:

How many groups of 4 can fit into 21?

Correct Answer: 5

Question 9:

How can the remainder be further defined?

Correct Answer: fraction

Question 10:

Where is NUMBEROCK from?

Correct Answer: A Teacher

Fill in the Blank Questions

Question 1:

The number you are dividing into is called the ________.

Correct Answer: dividend

Question 2:

The answer to a division problem is called the ________.

Correct Answer: quotient

Question 3:

The number you are dividing by is called the ________.

Correct Answer: divisor

Question 4:

What do we write after we can no longer divide evenly?

Correct Answer: remainder

Question 5:

In the song, what are the four steps of long division we use? Divide, ________, Subtract, Bring Down

Correct Answer: Multiply

Question 6:

What do we use to measure angles?

Correct Answer: protractor

Question 7:

24 divided by 6 equals what?

Correct Answer: 4

Question 8:

8 groups of 7 is what?

Correct Answer: 56

Question 9:

The divisor can become the ________.

Correct Answer: denominator

Question 10:

A catchy song helps to retain information ________ and for longer periods of time.

Correct Answer: easier

Educational Standards

4.NBT.6:Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.N.2.5:Use strategies and algorithms (e.g., mental strategies, standard algorithms, partial quotients, repeated subtraction, the commutative, associative, and distributive properties) based on knowledge of place value, equality, and properties of operations to divide a 3-digit dividend by a 1-digit whole number divisor, with and without remainders.

Teaching Materials

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