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Division: Long Division Mixed Practice

Apply long division skills with a variety of problems. This mixed practice worksheet reinforces the division algorithm with both small and larger dividends, building mastery and confidence with the procedure.
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Prerequisites
Long Division with 2-Digit Dividends6 WS
4 36 ?
What to Do Next
Division: Remainders Practice6 WS
4 15 3 R3
Teacher Resources
Teaching Notes

Emphasize place value understanding throughout the division algorithm process. Encourage estimation to check the reasonableness of quotients.

Vocabulary
long division: A method for dividing large numbers.
remainder: What is left over after dividing.
Common Mistakes
  • Forgetting to bring down the next digit in the dividend.
  • Incorrect multiplication or subtraction steps during the process.
  • Misplacing digits in the quotient, leading to incorrect place value.
Differentiation
SupportUse manipulatives or partial quotients for visualization.
ChallengeIntroduce larger dividends or multi-digit divisors gradually.
Discussion Questions
  • How does multiplication help us solve division problems?
  • What does the remainder represent in a real-world division problem?
  • Why is it important to estimate the quotient before solving?
  • How is long division similar to repeated subtraction?
Extension Activities
  • Solve problems with remainders.
  • Create word problems.
  • Use estimation.
Parent Tip

Ask your child to explain a long division problem step-by-step.

Learning Path
Skill Cluster

Number Sense and Operations

Estimated Time

15 minutes

Skills Practiced
Long divisionDivision with remaindersMulti digit division