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Grade 4 Mathematics

Multi-digit Division

Master division with larger numbers! Learn to divide using partial quotients, the standard algorithm, and interpret remainders in real-world contexts.

FL B.E.S.T. Standard: MA.4.NSO.2.2
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4-digit by 1-digit

Divide numbers like 2,856 / 7 using place value

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Partial Quotients

Flexible method using "friendly" multiples

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Standard Algorithm

Traditional long division with understanding

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Remainders

Interpret remainders in word problem contexts

Key Concepts Covered

Division and Multiplication Connection

Division is the inverse of multiplication. If 7 x 8 = 56, then 56 / 7 = 8 and 56 / 8 = 7. Use multiplication facts to help divide!

Partial Quotients Method

Subtract "chunks" of the divisor until you reach zero or a remainder. For 156 / 6: subtract 6x20=120, then 6x6=36. Quotient: 20+6=26.

Standard Algorithm

Divide digit by digit from left to right. Remember: Divide, Multiply, Subtract, Bring down - but understand WHY each step works!

Interpreting Remainders

Remainders mean different things! Sometimes round up (need extra buses), sometimes drop (full groups only), sometimes express as fraction.

Teacher Guide

Complete lesson plans and strategies

  • Standards breakdown with clarifications
  • Common misconceptions to address
  • Progression from partial quotients to algorithm
  • Differentiation strategies
  • Remainder interpretation guidance
View Guide

Student Concept Worksheet

Introduction to division strategies

  • Visual division models
  • Partial quotients step-by-step
  • Standard algorithm walkthrough
  • 5 guided practice problems
View Worksheet

Practice Worksheet

25 problems across all skills

  • Basic division facts review (5 problems)
  • 4-digit by 1-digit (8 problems)
  • Division with remainders (6 problems)
  • Word problems with remainder interpretation (6 problems)
View Practice

FAST Practice Quiz

10 test-format questions

  • Multiple choice questions
  • Fill-in-the-blank problems
  • Word problems with remainders
  • Mirrors actual FAST format
View Quiz

Parent Activity Guide

Home practice activities

  • Equal sharing activities
  • Real-world division scenarios
  • Remainder interpretation practice
  • Conversation starters
  • Spanish summary included
View Activity

Answer Keys

Complete solutions with explanations

  • All worksheet answers
  • Quiz answer explanations
  • Scoring guide
  • Common error analysis
View Answers