Shark Learning
Grade 3/Division

Division: Introduction to Long Division (1-digit quotients) (567)

Learn the long division algorithm with simple problems. Students practice the divide-multiply-subtract-bring down steps with single-digit quotients, building confidence with this essential division method.
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Teacher Resources
Teaching Notes

Introduce long division using the 'Divide, Multiply, Subtract, Bring Down' (DMSB) mnemonic. Emphasize place value and estimation before formal calculation.

Vocabulary
long division: A method for dividing large numbers.
quotient: The answer to a division problem.
remainder: What is left over after dividing.
Common Mistakes
  • Skipping a step in the DMSB process.
  • Errors in multiplication or subtraction facts.
  • Incorrectly placing the quotient digits.
Differentiation
SupportUse base-ten blocks or visual aids. Provide a multiplication chart.
ChallengeIntroduce problems with larger dividends or estimation challenges.
Discussion Questions
  • Why is it important to show your work in long division?
  • How does understanding multiplication facts help with division?
  • Can you think of a real-world situation where long division is useful?
  • What happens if your subtraction step results in a number larger than the divisor?
Extension Activities
  • Practice with different numbers.
  • Use graph paper for steps.
  • Relate to multiplication.
Parent Tip

Use objects to show how to share items equally.

Learning Path
Skill Cluster

Number Sense and Operations

Estimated Time

15 minutes

Skills Practiced
long division basicsone digit quotientsdivision algorithm
Prerequisites
  • Multiplication Facts (0-10)
  • Basic Division Facts
  • Subtraction with Regrouping
Next Steps
  • Long Division with Remainders
  • Long Division (2-digit Divisors)
  • Estimating Quotients
  • Division Facts Practice
  • Multi-Digit Multiplication
  • Subtraction with Regrouping Practice