6.NOS.2 Group 1 · Extra Support

Practice Set · Part 1

Divide Multi-Digit Numbers Using an Algorithm

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: 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.

The big idea: Repeat the cycle Divide → Multiply → Subtract → Bring Down until no digits are left to bring down; what is left at the end is the remainder.

Model to copy — Watch me

  1. I want 1,344 ÷ 12. The dividend is 1,344 and the divisor is 12, so 12 goes outside the bracket and 1,344 goes inside.
  2. DIVIDE: 12 does not fit into 1, so I look at 13. How many 12s fit into 13? One. I write 1 above the 3.
  3. MULTIPLY: 1 × 12 = 12. I write 12 underneath the 13.
  4. SUBTRACT: 13 − 12 = 1. That is what is left so far.
  5. BRING DOWN: I bring the next digit, 4, down next to the 1 to make 14. Now I repeat the cycle.
  6. REPEAT: 14 ÷ 12 → 1 (written above the 4), 1 × 12 = 12, 14 − 12 = 2, and I bring down the last 4 to make 24.
  7. REPEAT: 24 ÷ 12 → 2 (written above the last 4), 2 × 12 = 24, 24 − 24 = 0. Nothing is left to bring down, so the remainder is 0.
  8. The digits I wrote are 1, 1, 2, so 1,344 ÷ 12 = 112. I check by multiplying: 12 × 112 = 1,344.

Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

  1. 1

    Same stepsFinish what the group started. Use the model above, step for step.

    Let's try together: Let's do 384 ÷ 8. DIVIDE: 8 does not fit into 3, so we look at 38. How many 8s fit into 38? (4 — write it above the 8.) MULTIPLY: 4 × 8 = ? (32 — write it under the 38.) SUBTRACT: 38 − 32 = ? (6.) BRING DOWN: bring the 4 down to make 64, then repeat. DIVIDE: 64 ÷ 8 = ? (8.) MULTIPLY: 8 × 8 = 64. SUBTRACT: 64 − 64 = 0. Nothing is left to bring down, so the remainder is 0 and 384 ÷ 8 = 48. Check: 8 × 48 = 384.

    My first step is ___ , because the problem asks for ___ .

    Show your work
  2. 2

    Warm restartWhat is 7 × 40?

    1. A280
    2. B47
    3. C2,800
    4. D28
  3. 3

    Warm restartWhat is 96 ÷ 8?

    1. A11
    2. B12
    3. C14
    4. D8
  4. 4

    Warm restartWhich multiplication fact helps you divide 200 by 5?

    1. A5 × 40 = 200
    2. B5 × 20 = 100
    3. C5 × 4 = 20
    4. D5 × 50 = 250
2.6 Small Group · Group 1 · Practice SetPart 1 of 4
6.NOS.2 Group 1 · Extra Support

Practice Set · Part 2

Divide Multi-Digit Numbers Using an Algorithm

Keep going

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

  1. 5

    Think it through1,680 ÷ 24 = ?

    1. A60
    2. B70
    3. C80
    4. D72

    Why is that the answer?

    I chose ___ because ___ .

  2. 6

    Think it throughEstimate first: rounding to 1,600 ÷ 20 gives about how many pencils per room?

    1. A40
    2. B60
    3. C80
    4. D100

    How do you know?

    I chose ___ because ___ .

  3. 7

    Think it throughIf the pencils were split among 20 classrooms instead of 24, would each room get more or fewer?

    1. AMore, because the pencils are split among fewer rooms
    2. BFewer, because 20 is less than 24
    3. CThe same, because the total did not change
    4. DYou cannot tell

    Explain your thinking.

    I chose ___ because ___ .

  4. 8

    Back to the modelYou ran the cycle 3 times. What is 1,472 ÷ 8, and how did you know when to stop repeating divide, multiply, subtract, bring down?

    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 ___.

2.6 Small Group · Group 1 · Practice SetPart 2 of 4
6.NOS.2 Group 1 · Extra Support

Practice Set · Part 3

Divide Multi-Digit Numbers Using an Algorithm

Words and reasoning

Word bank · Banco de palabras

Divide Multi-Digit Numbers (Dividir números de varias cifras)Dividend (Dividendo)Divisor (Divisor)Quotient (Cociente)Remainder (Residuo)Long division (División larga)Bring down (Bajar el dígito)

Use the words

Fill each blank with a word from the bank.

Explain the thinking

  1. 9

    Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

    The 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.
  2. 10

    Say moreYou used long division for 1,344 ÷ 12. Walk through your divide, multiply, subtract, and bring down steps — what did each one tell you?

    First I divided ___ by 12 and wrote ___ in the quotient.

  3. 11

    Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

    If ___ changed to ___ , then ___ .

    Show your work
2.6 Small Group · Group 1 · Practice SetPart 3 of 4
6.NOS.2 Group 1 · Extra Support

Practice Set · Part 4

Divide Multi-Digit Numbers Using an Algorithm

Show what you know

Last check

These two come from Lesson 2.5. If they are shaky, that is the lesson to revisit — not this one.

  1. 12

    Show what you knowQuick check — you've got this: What is 2,352 ÷ 16?

    1. A147
    2. B137
    3. C157
    4. D146

    Explain your choice.

    I know it is ___ because ___ .

  2. 13

    From Lesson 2.5Quick check — you've got this: A box plot has Q1 = 20 and Q3 = 36, with a least value of 10 and a greatest value of 50. What is the IQR, and what does it tell you?

    1. AIQR = 16; the middle half of the data spans 16 units
    2. BIQR = 40; the data spans 40 units from end to end
    3. CIQR = 56; the quartiles add to 56
    4. DIQR = 28; 28 is halfway between the quartiles
  3. 14

    From Lesson 2.5Both classes have a median of 81. What do the smaller range and smaller IQR tell you about Class B?

    1. AClass B's scores are less spread out, so more students scored near the median
    2. BClass B's best score was higher
    3. CClass B had fewer students
    4. DClass B's median is actually larger

Be honest — this tells your teacher what to do next

I can…Not yetGetting thereGot it
I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder — one step at a time, with support.
I can explain why it works: Repeat the cycle Divide → Multiply → Subtract → Bring Down until no digits are left to bring down; what is…
I can talk through each step out loud using a sentence frame and the lesson's key words.

One question I want to ask my group next time