Shark Learning
Log In
Fifth/Division

Division: Introduction to Remainders

Learn about remainders in division. When numbers don't divide evenly, we write the leftover amount as a remainder (R). Practice identifying and writing remainders in division problems.
0
Sheets
1367
Views
229
Downloads
Study Guide
WorksheetsTeacher InfoLearning Path

Preview

Division: Introduction to Remainders preview

Tap to open PDF

Prerequisites
Division: Introduction to Long Division (1-digit quotients)8 WS
3 12 ?
What to Do Next
Long Division with 2-Digit Dividends6 WS
4 36 ?
Teacher Resources
Teaching Notes

Introduce remainders as 'leftovers' when numbers cannot be divided equally. Use real-world examples to explain their practical meaning.

Vocabulary
remainder: The amount left over after division.
division: Splitting a number into equal parts.
Common Mistakes
  • Misinterpreting the remainder as part of the quotient.
  • Incorrect subtraction leading to an invalid remainder (larger than divisor).
  • Forgetting to write 'R' before the remainder.
Differentiation
SupportUse manipulatives to model division problems with leftovers.
ChallengeChallenge with larger dividends or contextual problems involving remainders.
Discussion Questions
  • What does a remainder tell us in a division problem?
  • Can the remainder ever be larger than the divisor? Why or why not?
  • Think of a real-life situation where you would have a remainder.
  • How is division with a remainder different from division that 'goes in evenly'?
Extension Activities
  • Find remainders for division.
  • Write division stories.
  • Use a calculator to check.
Parent Tip

Use small objects to demonstrate division with leftovers.

Learning Path
Skill Cluster

Number Operations - Division

Estimated Time

15 minutes

Skills Practiced
Division with remaindersUnderstanding remaindersDivision algorithm