Curriculum  /  Math  /  4th Grade  /  Unit 3: Multi-Digit Division  /  Lesson 6

Multi-Digit Division

Lesson 6

Math

Unit 3

4th Grade

Lesson 6 of 16

Objective

Solve two-digit dividend division problems with a remainder in the tens and/or ones place with smaller divisors and quotients.

Common Core Standards

Core Standards

  • 4.NBT.B.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.

Foundational Standards

  • 4.NBT.A.1
  • 4.NBT.B.4
  • 4.NBT.B.5
  • 3.OA.C.7

Criteria for Success

  1. Solve two-digit dividend division problems with a divisor less than five and a remainder in the tens place.
  2. Solve two-digit dividend division problems with a divisor less than five and a remainder in the tens and the ones place. 
  3. Check the work of a division calculation by multiplying the quotient and divisor and adding the remainder to see if it equals the dividend.
  4. Understand that when there is a remainder in the tens place, you can decompose it into ones to be able to divide and use this reasoning to see why it is more efficient to start with the largest place value when dividing.

Tips for Teachers

Because there will be a remainder when computing the partial quotient in the ones place here, the computations in this lesson have been recorded using a shorthand written method to avoid writing the “R” notation after an equal sign. (See the Tips for Teachers section of Lesson 1 to read more.)

Lesson Materials

  • Optional: Base ten blocks (20 ones and 6 tens per student or small group) — Students might not need these depending on their reliance on concrete materials.
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Anchor Tasks

25-30 minutes

Problem 1

Starbursts come in packages of 10. Mr. Duffy has 3 packages of Starburst that he wants to share evenly with Ms. Glynn. How many Starbursts will they each get?

Guiding Questions

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Student Response

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Problem 2

This diagram represents 96.

To find 96 ÷ 4, Noah draws the following diagram.

He says, “The quotient is 21 with a remainder of 1 ten and 2 ones.”

a.   Explain the error Noah made.

b.   Find the correct quotient of 96 ÷ 4.

Guiding Questions

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Student Response

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References

Illustrative Mathematics Grade 4 Unit 6 Lesson 17 Activity 2

Grade 4 Unit 6 Lesson 17 Activity 2, accessed on Nov. 23, 2021, 10:23 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.

Problem 3

Solve. Then check your work. 

$${82\div3}$$

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • Look at #2. What mistake did Cayman make? How can he correct his work?
  • What made #3b-d more challenging than #1 or #3a?
  • Look at #4. How did you find the number? How is this related to the process of checking our work? 
  • Did you use any other strategies from Lesson 4 to solve any problems on today’s Problem Set? For example, #3a?

Target Task

5-10 minutes

Problem 1

Solve. Show or explain your work. Then check your work.

a.   $${75\div3}$$

b.   $${66\div4}$$

Student Response

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Problem 2

When 69 is divided by 5 the remainder is 4. Use multiplication to explain why this is true. 

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Solve two-digit dividend division problems with a remainder in any place with larger divisors and quotients.

Lesson 7
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Understanding and Interpreting Remainders

Topic B: Division of up to Four-Digit Whole Numbers by One-Digit Whole Numbers

Topic C: Multi-Step Word Problems and Patterns

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