This comprehensive long division worksheet provides Grade 4 students with structured practice in dividing multi-digit numbers by one-digit divisors. By moving from basic calculations to complex word problems and four-digit dividends, students develop procedural fluency and a deep understanding of the division algorithm. It ensures mastery of quotients and remainders in a classroom-ready format.
At a Glance
- Grade: 3–4 · Subject: Math
- Standard:
CCSS.MATH.CONTENT.4.NBT.B.6— Find whole-number quotients and remainders with up to four-digit dividends- Skill Focus: Multi-digit long division
- Format: 5 pages · 24 problems · Answer key included · PDF
- Best For: Independent practice and formative assessment
- Time: 30–45 minutes
What's Inside
Inside this five-page PDF resource, you will find four distinct sections designed to scaffold learning. The first page features basic long division without remainders. Subsequent pages introduce remainders, real-world word problems, and a final challenge involving four-digit dividends. A complete answer key is provided for every page, allowing for quick grading or student self-checking of results.
Skill Progression
This worksheet follows a gradual release of responsibility model to ensure success.
- Guided Practice: The first nine problems focus on three-digit dividends with no remainders.
- Supported Practice: Problems 10 through 18 introduce remainders and contextual word problems.
- Independent Practice: The final section increases complexity with four-digit dividends.
Standards Alignment
The primary focus is CCSS.MATH.CONTENT.4.NBT.B.6, which requires finding whole-number quotients and remainders with up to four-digit dividends and one-digit divisors. Both standard codes can be copied directly into lesson plans, IEP goals, or curriculum mapping tools for administrative compliance.
How to Use It
Use this as a post-lesson assessment or homework after direct instruction. For a formative assessment observation, walk around during the word problem section to identify if students correctly interpret remainders in a real-world context. Completion time is typically 30 to 45 minutes.
Who It's For
This resource is tailored for fourth-grade students working toward mastery of multi-digit division. It is also an excellent extension activity for high-performing third graders who have mastered basic division facts. The clear formatting and incremental difficulty make it an ideal tool for special education teachers needing to document progress toward IEP goals.
The acquisition of procedural fluency in multi-digit division is a critical milestone for upper elementary students. This worksheet aligns with CCSS.MATH.CONTENT.4.NBT.B.6, focusing on the student’s ability to find whole-number quotients and remainders using up to four-digit dividends. According to the NAEP 2024 Mathematics Framework, the ability to perform multi-step operations with whole numbers is a foundational indicator of algebraic readiness. Research suggests that providing structured practice with varied problem types—including abstract calculations and contextual word problems—helps students bridge the gap between rote memorization and conceptual application. By including 24 problems that transition from simple 3-digit dividends to complex 4-digit challenges, this resource provides the necessary repetition for long-term retention. Teachers can utilize this printable to gather empirical data on student progress, ensuring that every learner meets the rigorous demands of the Common Core State Standards before moving to more advanced mathematical concepts.