Divide Multi-Digit Numbers Using an Algorithm

Use the standard long division algorithm to divide multi-digit whole numbers and interpret quotients and remainders.

6.NOS.B.2 · Compute Fluently with Multi-Digit Numbers
Level
Guided practice with vocabulary support

🟠 Level 0 — Extra Support

Sentence starters: “First, I…” · “The answer is… because…” · “I know this because…”
W

Warm-Up

2 questions
Warm-Up 1
What is 846 ÷ 3?
Vocabulary: The dividend is the number being divided (846). The divisor is the number you divide by (3). The answer is called the quotient.
Hint: Use the long division algorithm: Divide, Multiply, Subtract, Bring down.
✓Correct! 846 ÷ 3 = 282. Divide each place: 8÷3 = 2 R2, bring down 4 to get 24, 24÷3 = 8, bring down 6, 6÷3 = 2.
✗Not quite. Use long division step by step: 8÷3 = 2 R2, 24÷3 = 8, 6÷3 = 2. The quotient is B: 282.
Warm-Up 2
What is 1,575 ÷ 5?
Hint: Set up the long division. 5 goes into 15 three times, then bring down and continue.
✓Correct! 1,575 ÷ 5 = 315. Step by step: 15÷5 = 3, 7÷5 = 1 R2, 25÷5 = 5.
✗Try again: 15÷5 = 3, bring down 7, 7÷5 = 1 R2, bring down 5 to get 25, 25÷5 = 5. The answer is C: 315.
P

Practice

5 questions
Practice 1
Divide: 4,368 ÷ 7
Strategy: Use the standard algorithm: Divide, Multiply, Subtract, Bring down. Start with how many times 7 goes into 43.
4,368 ÷ 7 =
Show your steps:

Sentence frame: "I divided ___ by ___ using the algorithm. The quotient is ___."

✓Correct! 4,368 ÷ 7 = 624. Check: 624 × 7 = 4,368.
✗Use the algorithm: 43÷7 = 6 R1, 16÷7 = 2 R2, 28÷7 = 4. The quotient is 624.
Practice 2
What is 9,126 ÷ 6?
Hint: Start by dividing 9 by 6. Then bring down digits one at a time and repeat.
Show your division steps:

Sentence frame: "I found that 9,126 ÷ 6 = ___ because ___."

✓Correct! 9,126 ÷ 6 = 1,521. You can check: 1,521 × 6 = 9,126.
✗Work through it: 9÷6 = 1 R3, 31÷6 = 5 R1, 12÷6 = 2, 6÷6 = 1. The answer is B: 1,521.
Practice 3
Match each division problem to its correct quotient.
Remember: The quotient is the answer to a division problem. Use the algorithm or mental math to find each one.
213
145
306
852 ÷ 4 =
870 ÷ 6 =
1,836 ÷ 6 =
✓All correct! 852÷4 = 213, 870÷6 = 145, 1,836÷6 = 306.
✗Some matches are incorrect. Use the algorithm to check each one carefully.
Practice 4
A school ordered 2,592 pencils to share equally among 8 classrooms. How many pencils does each classroom get?
Key words: "Share equally" means divide. The dividend is 2,592 and the divisor is 8.
Each classroom gets pencils.
Show your work:

Sentence frame: "I divided ___ by ___ and got ___. Each classroom gets ___ pencils."

✓Correct! 2,592 ÷ 8 = 324 pencils per classroom.
✗Divide 2,592 by 8: 25÷8 = 3 R1, 19÷8 = 2 R3, 32÷8 = 4. The answer is 324.
Practice 5
What is 7,469 ÷ 4? Write the quotient and remainder.
Vocabulary: A remainder is the amount left over when a number does not divide evenly.
Hint: Complete the long division. If there is a leftover at the end, that is your remainder.
Quotient:
Remainder:
Explain how you know:

Sentence frame: "7,469 ÷ 4 = ___ R ___. I can check: ___ × 4 + ___ = ___."

✓Correct! 7,469 ÷ 4 = 1,867 R 1. Check: 1,867 × 4 + 1 = 7,469.
✗Use long division carefully. 7,469 ÷ 4 = 1,867 R 1. Verify: 1,867 × 4 = 7,468, plus 1 = 7,469.
★

Challenge

1 question
Challenge
A factory produces 15,372 items in 12 days, making the same number each day. How many items are produced per day?
Think about it: You need to divide 15,372 by 12. This is a multi-digit divisor problem. Try: how many times does 12 go into 15? Then continue the algorithm.
Items per day:
Show your long division work:

Sentence frame: "I divided ___ by ___ and got ___. The factory makes ___ items each day."

✓Excellent! 15,372 ÷ 12 = 1,281. Check: 1,281 × 12 = 15,372.
✗Use the algorithm: 15÷12 = 1 R3, 33÷12 = 2 R9, 97÷12 = 8 R1, 12÷12 = 1. The answer is 1,281.