lenny

Divide & Conquer: 2-Digit Divisors!

user image

Lesson Plan

Divide & Conquer: 2-Digit Divisors

Students will be able to accurately divide multi-digit numbers by 2-digit divisors using the standard algorithm, understanding each step of the process.

Long division is a fundamental math skill that builds a strong foundation for future algebraic concepts and real-world problem-solving, such as budgeting, sharing resources, and calculating rates.

Audience

6th Grade

Time

30 minutes

Approach

Direct instruction, guided practice, and independent application.

Materials

Smartboard or Projector, Slide Deck: 2-Digit Divisors, Worksheet: Division Practice, and Answer Key: Division Practice

Prep

Lesson Preparation

15 minutes

Step 1

Warm-Up: Reviewing Division Basics (5 minutes)

5 minutes

  • Display the first few slides of the Slide Deck: 2-Digit Divisors to briefly review 1-digit divisor division and the vocabulary (dividend, divisor, quotient, remainder).
    - Ask students for examples of when they might use division in real life.

Step 2

Introduction to 2-Digit Divisors (10 minutes)

10 minutes

  • Transition to explaining the process of dividing by 2-digit divisors using the Slide Deck: 2-Digit Divisors.
    - Walk through the 'Divide, Multiply, Subtract, Bring Down, Repeat' (DMSBR) steps with a clear example on the board/projector.
    - Emphasize estimation strategies for determining the first digit of the quotient.

Step 3

Guided Practice (10 minutes)

10 minutes

  • Work through 1-2 additional examples together as a class, encouraging students to participate in each step.
    - Use the Slide Deck: 2-Digit Divisors to display the problems and solutions.
    - Circulate around the room to check for understanding and offer immediate support.

Step 4

Independent Practice/Cool Down (5 minutes)

5 minutes

  • Distribute the Worksheet: Division Practice.
    - Instruct students to complete the first one or two problems independently.
    - Explain that any unfinished problems will be homework or continued practice.
    - Collect worksheets or have students self-check with the Answer Key: Division Practice if time allows.
lenny
0 educators
use Lenny to create lessons.

No credit card needed

Slide Deck

Divide & Conquer: 2-Digit Divisors!

What is Division?

  • Sharing equally
  • Finding out how many groups

Key Vocabulary:

  • Dividend: The number being divided.
  • Divisor: The number you are dividing by.
  • Quotient: The answer to a division problem.
  • Remainder: The amount left over after dividing.

Welcome students and introduce the topic. Ask them to recall what they remember about division. Remind them of the vocabulary.

Quick Review: 1-Digit Divisors

Let's quickly solve: 75 ÷ 5







Solution: 15

Review a quick example of division with a 1-digit divisor to refresh their memory before moving to 2-digit divisors.

Stepping Up: 2-Digit Divisors

The steps for long division are always the same:

Divide
Multiply
Subtract
Bring Down
Repeat

But what happens when your divisor has two digits?

It's a little trickier, but you've got this!

Introduce the challenge of 2-digit divisors. Explain that the steps are the same, but estimation becomes more important. Introduce the DMSBR acronym.

Example 1: Let's Do One Together!

Solve: 450 ÷ 18

Step 1: Divide. How many times does 18 go into 45? (Think: How many times does 20 go into 40?)

Step 2: Multiply. Multiply the quotient digit by the divisor.

Step 3: Subtract. Subtract the product from the part of the dividend you're working with.

Step 4: Bring Down. Bring down the next digit of the dividend.

Step 5: Repeat. Repeat the steps until no more digits can be brought down.







Solution: 25

Walk through the first example step-by-step. Emphasize how to estimate by rounding the divisor to the nearest ten to make it easier to guess the quotient digit.

Guided Practice: Your Turn!

Solve: 782 ÷ 23

Remember the steps:
Divide
Multiply
Subtract
Bring Down
Repeat

Talk with your elbow partner: How would you estimate the first division step?







Solution: 34

Present a second example for guided practice. Encourage students to call out steps or try parts on their mini-whiteboards if available. Guide them through the process.

Another Practice Problem!

Solve: 936 ÷ 36

Work through this one on your own or with a partner. We'll go over it together.







Solution: 26

Present a third example for guided practice. This one can be slightly more challenging or involve a remainder to prepare them for the worksheet.

Time for Independent Practice!

You've learned the steps to conquer 2-digit divisors!

Now, it's your turn to practice with the Worksheet: Division Practice.

Remember to:

  • Estimate before you divide.
  • Follow DMSBR carefully.
  • Check your work!

Any questions before you start?

Conclude the lesson by assigning the worksheet for independent practice/homework and reminding them of the key steps. Encourage them to ask questions if they get stuck.

lenny

Worksheet

Division Practice: 2-Digit Divisors

Instructions: Solve each long division problem. Show all your work!

  1. 576 ÷ 12












  1. 868 ÷ 14












  1. 1,008 ÷ 24












  1. 1,296 ÷ 36












  1. 2,075 ÷ 25












  1. 3,108 ÷ 42












lenny
lenny

Answer Key

Answer Key: Division Practice

Here are the step-by-step solutions for the division problems. Remember to follow the DMSBR (Divide, Multiply, Subtract, Bring Down, Repeat) steps!

1. 576 ÷ 12

  • Step 1 (Divide): How many times does 12 go into 57? Estimate: 12 goes into 57 about 4 times (since 10 * 4 = 40, and 12 * 5 = 60 is too high).
  • Step 2 (Multiply): 4 * 12 = 48
  • Step 3 (Subtract): 57 - 48 = 9
  • Step 4 (Bring Down): Bring down the 6, making it 96.
  • Step 5 (Repeat - Divide): How many times does 12 go into 96? Estimate: 12 * 8 = 96.
  • Step 5 (Repeat - Multiply): 8 * 12 = 96
  • Step 5 (Repeat - Subtract): 96 - 96 = 0
  • Remainder: 0

Answer: 48

2. 868 ÷ 14

  • Step 1 (Divide): How many times does 14 go into 86? Estimate: 14 is close to 15. 15 * 5 = 75, 15 * 6 = 90. So, about 6 times.
  • Step 2 (Multiply): 6 * 14 = 84
  • Step 3 (Subtract): 86 - 84 = 2
  • Step 4 (Bring Down): Bring down the 8, making it 28.
  • Step 5 (Repeat - Divide): How many times does 14 go into 28? Exactly 2 times.
  • Step 5 (Repeat - Multiply): 2 * 14 = 28
  • Step 5 (Repeat - Subtract): 28 - 28 = 0
  • Remainder: 0

Answer: 62

3. 1,008 ÷ 24

  • Step 1 (Divide): How many times does 24 go into 100? Estimate: 25 * 4 = 100. So, about 4 times.
  • Step 2 (Multiply): 4 * 24 = 96
  • Step 3 (Subtract): 100 - 96 = 4
  • Step 4 (Bring Down): Bring down the 8, making it 48.
  • Step 5 (Repeat - Divide): How many times does 24 go into 48? Exactly 2 times.
  • Step 5 (Repeat - Multiply): 2 * 24 = 48
  • Step 5 (Repeat - Subtract): 48 - 48 = 0
  • Remainder: 0

Answer: 42

4. 1,296 ÷ 36

  • Step 1 (Divide): How many times does 36 go into 129? Estimate: 36 is close to 40. 40 * 3 = 120, 40 * 4 = 160. So, about 3 times.
  • Step 2 (Multiply): 3 * 36 = 108
  • Step 3 (Subtract): 129 - 108 = 21
  • Step 4 (Bring Down): Bring down the 6, making it 216.
  • Step 5 (Repeat - Divide): How many times does 36 go into 216? Estimate: 36 * 6. (30 * 6 = 180, 6 * 6 = 36, 180 + 36 = 216). So, 6 times.
  • Step 5 (Repeat - Multiply): 6 * 36 = 216
  • Step 5 (Repeat - Subtract): 216 - 216 = 0
  • Remainder: 0

Answer: 36

5. 2,075 ÷ 25

  • Step 1 (Divide): How many times does 25 go into 207? Estimate: 25 * 8 = 200. So, 8 times.
  • Step 2 (Multiply): 8 * 25 = 200
  • Step 3 (Subtract): 207 - 200 = 7
  • Step 4 (Bring Down): Bring down the 5, making it 75.
  • Step 5 (Repeat - Divide): How many times does 25 go into 75? Exactly 3 times.
  • Step 5 (Repeat - Multiply): 3 * 25 = 75
  • Step 5 (Repeat - Subtract): 75 - 75 = 0
  • Remainder: 0

Answer: 83

6. 3,108 ÷ 42

  • Step 1 (Divide): How many times does 42 go into 310? Estimate: 40 * 7 = 280, 40 * 8 = 320. So, about 7 times.
  • Step 2 (Multiply): 7 * 42 = 294
  • Step 3 (Subtract): 310 - 294 = 16
  • Step 4 (Bring Down): Bring down the 8, making it 168.
  • Step 5 (Repeat - Divide): How many times does 42 go into 168? Estimate: 40 * 4 = 160. So, 4 times.
  • Step 5 (Repeat - Multiply): 4 * 42 = 168
  • Step 5 (Repeat - Subtract): 168 - 168 = 0
  • Remainder: 0

Answer: 74

lenny
lenny
Divide & Conquer: 2-Digit Divisors! • Lenny Learning