Lesson 2.62.6 · Part II
Start hereWords, worked example, and sentence starters
Learning target I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| AlgorithmSpanish: Algoritmo | 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) |
| DividendSpanish: Dividendo | The total number being divided into equal groups (the number inside the division bracket). | In 1,344 ÷ 12 = 112, the dividend is 1,344 — the total amount being divided |
| DivisorSpanish: Divisor | The number of equal groups you are dividing into (the number outside the division bracket). | In 1,344 ÷ 12 = 112, the divisor is 12 — the number of equal groups |
| 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 |
| Divide Multi-Digit NumbersSpanish: Dividir números de varias cifras | Separate a multi-digit number into equal groups to find a quotient. | 1,344 ÷ 12 = 112 |
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
Word bank AlgorithmDividendDivisorQuotientRemainderDivide Multi-Digit Numbers
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.
Lesson 2.62.6 · Part II
Apply Day · Version ASupported practice
Learning target I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.
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1Complete each step, then write the final answer.
What is 945 ÷ 7?
Show your workHint Start with 9. Then repeat: divide, multiply, subtract, bring down.
Final answer: -
2Complete each step, then write the final answer.
What is 672 ÷ 4?
Show your workHint Start with 6. Bring down one digit at a time.
Final answer: -
3Complete each step, then write the final answer.
What is 1,584 ÷ 12?
Show your workHint 12 does not fit into 1. Start with 15.
Final answer:
Lesson 2.62.6 · Part II
Apply Day · Version BCore practice
Learning target I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.
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1Complete each step, then write the final answer.
What is 4,375 ÷ 25?
Show your workFinal answer: -
2Complete each step, then write the final answer.
What is 3,276 ÷ 13?
Show your workFinal answer:
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3Complete 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 workFinal answer:
Lesson 2.62.6 · Part II
Apply Day · ChallengeExtension
Learning target I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.
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1Complete each step, then write the final answer.
What is 6,612 ÷ 29?
Show your workFinal answer:
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2Circle the letter of the best answer. Show how you know.
Use the long division algorithm to find 936 ÷ 4.
- A209
- B232
- C234
- D243
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3Complete each step, then write the final answer.
Rosa has $1,000. Concert tickets cost $35 each. She says she can buy 29 tickets. How many tickets can she really buy?
Show your workFinal answer: