Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.NOS.2

Lesson 2.6Divide Multi-Digit Numbers Using an Algorithm

Set B · Version ASecond form · supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.

Why This Matters The space station has 1,344 nutrition bars that must be divided equally among 12 crew sections for a 4-week rotation. How many bars does each section receive?

RememberDivide Multi-Digit Numbers Using an Algorithm

Algorithm: A step-by-step set of rules or instructions to solve a math problem. Long Division Algorithm: D (Divide), M (Multiply), S (Subtract), B (Bring Down). Formula: Divisor ) Dividend = Quotient R Remainder Dividing means splitting a total into equal groups. Long division finds the quotient one digit at a time by repeating the same four steps: divide, multiply, subtract, bring down.

  1. D - Divide: write quotient digit above the bar.
  2. M - Multiply: digit × divisor.
  3. S - Subtract: find the difference.
  4. B - Bring down: next digit from dividend.
  5. Repeat: continue until no digits remain (leftover = remainder). Example: 1,344 ÷ 12 = 112

Words: Algorithm (Algoritmo)Dividend (Dividendo)Divisor (Divisor)Quotient (Cociente)Remainder (Residuo)

Part 1Practice the skillshow every step
  1. 1Circle the letter of the best answer. Show how you know.

    What is 7 × 40?

    1. A28
    2. B47
    3. C280
    4. D2,800
    Show each partial product, then add them
    1. 1SplitBreak one factor apart.
    2. 2MultiplyOne part at a time.
    3. 3AddAdd the parts.
  2. 2Circle the letter of the best answer. Show how you know.

    What is 96 ÷ 8?

    1. A8
    2. B11
    3. C12
    4. D14
    896
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    Which multiplication fact helps you divide 200 by 5?

    1. A5 × 40 = 200
    2. B5 × 20 = 100
    3. C5 × 4 = 20
    4. D5 × 50 = 250
    Show your work
  2. 4Circle the letter of the best answer. Show how you know.

    Estimate 412 ÷ 7 by using friendly numbers.

    1. A400 ÷ 8 = 50
    2. B400 ÷ 4 = 100
    3. C410 ÷ 10 = 41
    4. D420 ÷ 7 = 60
    7412
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
  3. 5Circle the letter of the best answer. Show how you know.

    A school is ordering 1,680 pencils to distribute equally to 24 classrooms for the school year. 1,680 ÷ 24 = ?

    1. A60
    2. B70
    3. C72
    4. D80
    241680
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.
  4. 6Circle the letter of the best answer. Show how you know.

    A school is ordering 1,680 pencils to distribute equally to 24 classrooms for the school year. Estimate first: rounding to 1,600 ÷ 20 gives about how many pencils per room?

    1. A40
    2. B60
    3. C80
    4. D100
    201600
    1. 1DivideHow many fit?
    2. 2MultiplyMultiply back.
    3. 3SubtractWhat is left?
    4. 4Bring downNext digit.

Explain your thinkingYou ran the cycle three times. What is 2,184 ÷ 14, and how did you know when to stop repeating divide, multiply, subtract, bring down?

Sentence starter 2,184 ÷ 14 = ___ because I repeated divide, multiply, subtract, and bring down until there were no digits left to bring down, and what was left at the end was ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.NOS.2

Lesson 2.6Divide Multi-Digit Numbers Using an Algorithm

Set B · Version BSecond form · core practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.

Why This Matters The space station has 1,344 nutrition bars that must be divided equally among 12 crew sections for a 4-week rotation. How many bars does each section receive?

Part 1Practice the skillshow every step
  1. 1Circle the letter of the best answer. Show how you know.

    What is 4,896 ÷ 12?

    1. A48
    2. B380
    3. C408
    4. D480
    124896
  2. 2Circle the letter of the best answer. Show how you know.

    What is 7,225 ÷ 25?

    1. A29
    2. B289
    3. C389
    4. D2,890
    257225
  3. 3Circle the letter of the best answer. Show how you know.

    What is 5,084 ÷ 31?

    1. A154
    2. B164
    3. C164 r2
    4. D174
    315084
Part 2Apply itreal-world problems
  1. 4Circle the letter of the best answer. Show how you know.

    A school is ordering 1,680 pencils to distribute equally to 24 classrooms for the school year. If the pencils were split among 20 classrooms instead of 24, would each room get more or fewer?

    1. AFewer, because 20 is less than 24
    2. BThe same, because the total did not change
    3. CMore, because the pencils are split among fewer rooms
    4. DYou cannot tell
    Show your work
  2. 5Circle the letter of the best answer. Show how you know.

    A school orders 3,648 pencils packed 24 to a box. How many boxes are there?

    1. A144
    2. B148
    3. C152
    4. D160
    Show your work
  3. 6Circle the letter of the best answer. Show how you know.

    Path 1: The first arcade door shows 4,928 ÷ 7. Which quotient lights the correct path?

    1. A74
    2. B703 r7
    3. C704
    4. D740
    74928

Explain your thinkingYou ran the cycle three times. What is 2,184 ÷ 14, and how did you know when to stop repeating divide, multiply, subtract, bring down?

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help