Divide Multi-Digit Numbers
I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.
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🎯 Content Objective / Objetivo de contenido
I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.
Today's Flow
Total pacing: ~45 min · Progress bar at top tracks your place
LAUNCH
⏱ ~10 min
⏱️ 3 MIN · THINK-PAIR-SHARE
The station must divide 1,344 nutrition bars equally among 12 crew sections. Before dividing, about how many bars should each section get, and how do you know?
Check for Understanding #1
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Space Station Supply Division
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?
Concept Launch
💡 How do you divide big numbers?
Dividing means splitting a total into equal groups. Partial quotients let you divide a big number by taking away easy chunks until nothing is left.
Subtract easy chunks of the divisor, then add up how many you took out to get the quotient.
Check for Understanding #2
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Now it's your turn
VOCABULARY
⏱ ~8 min
| Term / Término | Meaning / Significado | Example / Ejemplo | Visual |
|---|---|---|---|
| Dividend Dividendo |
The number you are splitting up in a division problem. El número que estás repartiendo en una división. |
In 156 ÷ 12 = 13, the dividend is 156 — it is the total being split up | |
| Divisor Divisor |
The number you split by in a division problem. El número entre el que divides en una división. |
In 156 ÷ 12 = 13, the divisor is 12 — it is the size of each group | |
| Quotient Cociente |
The answer when you divide. La respuesta cuando divides. |
In 156 ÷ 12 = 13, the quotient is 13 — there are 13 groups | |
| Remainder Residuo |
What is left over when a number does not divide evenly. Lo que sobra cuando un número no se divide de forma exacta. |
17 ÷ 5 = 3 R 2 means 3 groups of 5 with 2 left over | |
| Partial quotients Cocientes parciales |
A way to divide by breaking the problem into smaller, easier steps. Una manera de dividir separando el problema en pasos más fáciles. |
1,344 ÷ 12: first 12 × 100 = 1,200, then 12 × 12 = 144. Quotient = 100 + 12 = 112 |
Which Word Fits?
In 84 ÷ 7, the number 84 being divided is the ___.
Use It In a Sentence
Check for Understanding #3
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Turn & Talk — Launch
The station must divide 1,344 nutrition bars equally among 12 crew sections. Before dividing, about how many bars should each section get, and how do you know?
👂 Listen For
Students estimate using 1,200 ÷ 12 = 100 (or similar) to predict roughly 100+ bars per section, identifying 1,344 as the dividend and 12 as the divisor.
Extend: Will 1,344 divide evenly by 12, or will there be a remainder? Predict before computing and justify your reasoning.
EXPLORE & PRACTICE
⏱ ~18 min
Visual Modeling Workspace
Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.
Explore Activity
Break apart the division 1,344 ÷ 12 using partial quotients. Sort each partial product — does it help build toward the answer, or is it NOT a step in this division?
✍️ Explore Discourse
How do partial quotients help you divide large numbers? What is 1,344 ÷ 12?
Whiteboard Moment
Show your work clearly. Be ready to explain your thinking to a partner.
Turn & Talk — Explore
You used partial quotients for 1,344 ÷ 12. What steps did you use, and how do they build to the final quotient?
👂 Listen For
Students explain 12 × 100 = 1,200, then 144 left, 12 × 12 = 144, so the quotient is 100 + 12 = 112 with no remainder.
Extend: Why does it not matter whether you start with 12 × 100 or 12 × 50 in partial quotients? Will you reach the same quotient?
Practice Check A
A warehouse has 2,184 items to pack into boxes of 14. How many boxes are needed?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Practice Check B
What is 936 ÷ 12?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Ratio Table Builder
Fill the ratio table. Each row must be equivalent.
| Factor | A | B |
|---|---|---|
| ×1 | ||
| ×2 | ||
| ×3 |
✍️ Justify Your Thinking
Sort each division problem: does it divide evenly (no remainder), or does it have a remainder?
A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.
Choose ONE option to show what you know — then do it in the workspace below.
Use evidence from today's lesson to complete each frame.
Today's key idea is: "Subtract easy chunks of the divisor, then add up how many you took out to get the quotient." — and it works because ___.
Because Dividend means ___, but a tricky part is ___, so I have to ___.
A common mistake with Dividend is ___. It happens because ___, and the fix is ___.
I can prove my answer is correct by ___, using Divisor to check my work.
✍️ TWR · WRITE 3 SENTENCES · 7 MIN
Subtract easy chunks of the divisor, then add up how many you took out to get the quotient. because ___
Subtract easy chunks of the divisor, then add up how many you took out to get the quotient. but ___
Subtract easy chunks of the divisor, then add up how many you took out to get the quotient. so ___
🌱 TWR · GROW THE KERNEL · 6 MIN
Answer these to add detail
Sentence starters (tap to use)
Student Workspace
Break apart the division 1,344 ÷ 12 using partial quotients. Sort each partial product — does it help build toward the answer, or is it NOT a step in this division?
| Column A | Column B |
|---|---|
✏️ Sketch Your Strategy
Differentiation Paths
Step-by-step with a worked model and sentence frames.
What is 936 ÷ 12?
Core practice aligned to the standard.
Extension with error analysis or multi-step reasoning.
Partner Activity
Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.
Check for Understanding #4
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Real-World Connection
🌍 Math in the Wild
A school is ordering 1,680 pencils to distribute equally to 24 classrooms for the school year.
✍️ Connection Reasoning
How does multi-digit division help the school figure out how many pencils each classroom gets?
Each classroom gets ___ pencils because 1,680 ÷ 24 = ___.
Turn & Talk — Connect
The station's observation deck seats 2,160 visitors equally across 18 viewing sections. How does multi-digit division tell each section's seat count, and how can you check it?
👂 Listen For
Students compute 2,160 ÷ 18 = 120 and verify with 18 × 120 = 2,160, explaining the quotient is the per-section seat count.
Extend: If the deck held 2,170 visitors instead, what would the quotient and remainder be, and what would the remainder mean in this situation?
CLOSURE & REFLECT
⏱ ~8 min
Today I learned that ___ because ___.
One thing I am still not sure about is ___.
What is 2,352 ÷ 16?
Bonus Exit Check
What is 2,485 ÷ 5?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Reflection & Self-Assessment
Continue Learning
Launch the Full Interactive Activity
Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.
Family Connection
Share tonight's family homework and discuss one vocabulary word at home.
Open Family Homework ↗Teacher Notes
⏱️ Pacing Guide
- Launch & vocab: 12 min
- I Do / We Do / You Do: 15 min
- Explore & practice: 15 min
- Connect & closure: 8 min
Total: ~45 min
🎯 Listen For · Common Errors
• Students estimate using 1,200 ÷ 12 = 100 (or similar) to predict roughly 100+ bars per section, identifying 1,344 as the dividend and 12 as the divisor.
• Students explain 12 × 100 = 1,200, then 144 left, 12 × 12 = 144, so the quotient is 100 + 12 = 112 with no remainder.
• Students compute 2,160 ÷ 18 = 120 and verify with 18 × 120 = 2,160, explaining the quotient is the per-section seat count.
• Students explain the quotient is the number in each group while the remainder is the amount left that cannot be shared equally, and a remainder of 0 means it divides evenly.
Common mistake: A common mistake in Divide Multi-Digit Numbers is skipping the key idea: "Subtract easy chunks of the divisor, then add up how many you took out to get the quotient." — always check your work against this rule before you submit.
Answer Key (Teacher Appendix)
Hide this slide during presentation or move to the end of your copy.
✓ Practice 1: 156 boxes — 2,184 ÷ 14 = 156. Check: 14 × 156 = 14 × 150 + 14 × 6 = 2,100 + 84 = 2,184.
✓ Practice 2: 78 — 12 × 78 = 936. You can verify: 12 × 70 = 840, 12 × 8 = 96, 840 + 96 = 936.
✓ Practice 3: 497 — 5 × 497 = 2,485. Check: 5 × 400 = 2,000, 5 × 90 = 450, 5 × 7 = 35. 2,000 + 450 + 35 = 2,485.
✓ Practice 4: 84 — 9 × 84 = 756. Check: 9 × 80 = 720, 9 × 4 = 36, 720 + 36 = 756.
✓ Exit ticket: 147 — 16 × 147 = 2,352. Check: 16 × 100 = 1,600, 16 × 40 = 640, 16 × 7 = 112. 1,600 + 640 + 112 = 2,352.