Grade 4 Long Division - Medium
A medium grade 4 worksheet for Division.
Worksheet snapshot
- Long Division
- Key concepts: Understanding core division (within 100) concepts for Grade 4; Applying division (within 100) strategies appropriate to Grade 4
- Students develop fluency with division (within 100) at Grade 4 level, applying strategies more independently and solving increasingly complex problems.
- Apply it: Division (within 100) at the Grade 4 level connects to everyday situations students encounter: problem-solving in daily life, making sense of quantities and relationships, and building mathematical literacy for future learning.
- 44 ÷ 4 =
- 27 ÷ 3 =
- 0 ÷ 2 =
About Division (within 100)
Division involves sharing equally or making groups and represents the inverse of multiplication. Students learn division both as fair sharing (how many in each group?) and as repeated subtraction (how many groups?).
Division is essential for fractions, ratios, proportions, and algebra. It's used constantly in real life for sharing, distributing, measuring, and solving rate problems. Understanding division as the inverse of multiplication is crucial for algebraic thinking.
Long Division (single-digit divisors)
Divide multi-digit numbers by single-digit divisors, interpret remainders, and use multiplication to check.
This medium level worksheet:
Divide 2–3 digit numbers by 1-digit with one regroup/remainder; record partial quotients or standard steps.
Key Concepts
- Place value and partial quotients
- Regrouping tens/hundreds when dividing
- Remainders and their meaning
- Check quotients by multiplying
Prerequisite skills
Fluent multiplication/division facts; add/subtract multi-digit; understand place value to thousands.
Teaching Strategies
Begin with base-ten blocks/area models, then connect to partial quotients or the standard algorithm; require estimating quotients first; discuss what remainders mean in context.
Assessment ideas
Test division fact fluency. Include division word problems requiring interpretation of remainders in context. Ask students to use multiplication to check division. Present division in both sharing and grouping contexts. Assess long division procedural accuracy.
Common Challenges
Subtracting wrong place values; forgetting to bring down digits; misinterpreting remainders; not estimating before solving.
Real-World Applications
Sharing costs/items with leftovers, packing boxes, and rate problems with remainders.
Extension Activities
Compare partial quotients vs. standard algorithm; create a word problem where the remainder must be rounded or kept; check all work with multiplication.
Parent Tips
Ask for an estimate before dividing, then to explain each step and check by multiplying the quotient and divisor.