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

Lesson 2.62.6 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder — one step at a time, with support.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
DividendSpanish: Dividendo The total number being divided into equal groups (the number inside the division bracket). In 156 ÷ 12 = 13, the dividend is 156 — it is the total being split up
DivisorSpanish: Divisor The number of equal groups you are dividing into (the number outside the division bracket). In 156 ÷ 12 = 13, the divisor is 12 — it is the size of each group
QuotientSpanish: Cociente The answer when you divide. In 156 ÷ 12 = 13, the quotient is 13 — there are 13 groups
RemainderSpanish: Residuo What is left over when a number does not divide evenly. 17 ÷ 5 = 3 R 2 means 3 groups of 5 with 2 left over
Long divisionSpanish: División larga A method that repeats four steps — divide, multiply, subtract, bring down — until there are no digits left to bring down. 1,344 ÷ 12 → divide, multiply, subtract, bring down, repeat
Bring downSpanish: Bajar el dígito The fourth step of long division: move the next digit of the dividend down next to what is left, then start the cycle again. 13 − 12 = 1, then bring down the 4 to make 14

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Find 1,344 ÷ 12.

  1. Divide 13 by 12. Write 1 on top: 13 ÷ 12 → 1
  2. Multiply, then subtract: 1 × 12 = 12; 13 − 12 = 1
  3. Bring down the 4. Repeat with 14: 14 ÷ 12 → 1; 1 × 12 = 12; 14 − 12 = 2
  4. Bring down the last 4. Repeat with 24: 24 ÷ 12 → 2; 2 × 12 = 24; 24 − 24 = 0
  5. Check by multiplying: 12 × 112 = 1,344
  6. 1,344 ÷ 12 = 112

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

Find 384 ÷ 8.

Answer:

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • 1,472 ÷ 8 = 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 .

Word bank DividendDivisorQuotientRemainderLong divisionBring downdividemultiplysubtractbring downrepeatquotient

Watch outA common mistake

A common mistake in Divide Multi-Digit Numbers is skipping a placeholder zero in the quotient when a digit doesn't divide evenly, which shifts every digit after it out of place. For example, dividing 3,216 ÷ 3: 3 ÷ 3 = 1, but the next digit 2 doesn't divide by 3, so a 0 must be written before continuing — bring down the 1 to make 21 ÷ 3 = 7, then bring down 6 ÷ 3 = 2, giving the correct quotient 1,072. A student who skips writing that 0 and jumps straight to 21 ÷ 3 = 7 ends up with 172 instead of 1,072 — an answer off by a factor of ten. Always check: does a digit in your quotient go missing every time you 'can't divide'? If so, you dropped a placeholder zero.

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

Lesson 2.62.6 Small Group · Group 1

Group 1Supported practice

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

Learning target With my small group, I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder — one step at a time, with support.

Part 1Practice the skillshow every step
  1. 1Complete each step, then write the final answer.
    96657654−3636−0
    6 does not fit into 5, so start with 57.

    Find 576 ÷ 6.

    1. 1How many 6s fit into 57?
    2. 2Multiply 9 × 6. Then subtract from 57.
    3. 3Bring down the 6. How many 6s fit into 36?
    4. 4What is 576 ÷ 6?
    Final answer:
  2. 2Complete each step, then write the final answer.
    11912142812−2212−108108−0
    Now the divisor has 2 digits.

    Find 1,428 ÷ 12.

    1. 112 does not fit into 1. How many 12s fit into 14?
    2. 2Subtract, then bring down the 2. Divide 22 by 12. What is left?
    3. 3Bring down the 8. How many 12s fit into 108?
    4. 4What is 1,428 ÷ 12?
    Final answer:
  3. 3Complete each step, then write the final answer.

    What is 492 ÷ 4?

    Show your work

    Hint Start with 4. Then repeat: divide, multiply, subtract, bring down.

    Final answer:
  4. 4Complete each step, then write the final answer.
    12916206416−4632−144144−0

    What is 2,064 ÷ 16?

    Show your work

    Hint 16 does not fit into 2. Start with 20.

    Final answer:
Part 2Apply itreal-world problems
  1. 5Complete each step, then write the final answer.

    A farm has 1,140 eggs. Each carton holds 12 eggs. How many cartons can the farm fill?

    Show your work

    Hint Divide 1,140 by 12. 12 does not fit into 11, so start with 114.

    Final answer:
  2. 6Complete each step, then write the final answer.

    Tom finds 452 ÷ 6. He gets 74 R 8. A remainder of 8 is not possible here. What is the correct remainder?

    Show your work

    Hint The remainder must be less than 6. If 8 is left, another 6 still fits.

    Final answer:

Explain your thinkingWhy do you check a division answer by multiplying? Use 576 ÷ 6 to explain.

Sentence starter I check by multiplying ___ × ___. · If I get ___, my quotient is right because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help