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Printable Long Division Word Problems | Grade 5 Math - Page 1
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Printable Long Division Word Problems | Grade 5 Math

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Description

This Grade 5 math worksheet focuses on solving multi-digit long division story problems with and without remainders. Students apply division skills to real-world scenarios, such as sharing pizza rolls and organizing library books. By working through these 8 tasks, learners build mastery in calculating quotients and interpreting remainders in context.

At a Glance

  • Grade: 5 · Subject: Math
  • Standard: CCSS.MATH.CONTENT.5.NBT.B.6 — Find whole-number quotients with up to four-digit dividends and two-digit divisors
  • Skill Focus: Long Division Word Problems
  • Format: 5 pages · 8 problems · Answer key included · PDF
  • Best For: Independent practice and real-world application
  • Time: 30–45 minutes

This comprehensive five-page PDF includes eight real-world story problems divided into three sections: Slumber Party, Fun Day, and More Practice. Each problem provides a dedicated workspace labeled "Show your work here..." to encourage documentation of calculation steps. The worksheet features multi-digit dividends up to 9,974 and divisors ranging from single digits to 45.

Skill Progression

  • Guided Practice: The initial tasks feature smaller numbers, like 36 divided by 6, to ground students in the division process within a simple context.
  • Supported Practice: Mid-range problems introduce four-digit dividends with remainders, requiring students to interpret what a leftover means in a real-world scenario.
  • Independent Practice: Final challenges present larger divisors and complex contexts, like bus capacity, pushing students to apply long division algorithms fluently.

This structure ensures students move from basic computation to complex application with confidence.

Standards Alignment

This worksheet is aligned to `CCSS.MATH.CONTENT.5.NBT.B.6`, which requires students to find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors. The word problem format also supports CCSS.MATH.PRACTICE.MP4 (Model with mathematics). Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Use this resource during independent practice to check for student understanding. It serves as an excellent formative assessment tool; teachers should observe how students handle the "Show your work" boxes to identify place-value errors. Expect students to take approximately 35 minutes to complete all eight problems.

Who It's For

This material is designed for Grade 5 students working toward mastery of the Number & Operations in Base Ten strand. It is also suitable for Grade 6 students requiring intervention or Grade 4 students ready for advanced challenges. It pairs naturally with a math journal entry on long division mnemonics.

The integration of real-world context in multi-digit division tasks is a key component of high-quality instruction. According to the RAND AIRS 2024 report, students who engage with word-to-symbol translation tasks demonstrate higher retention of algorithmic procedures. This worksheet targets the CCSS.MATH.CONTENT.5.NBT.B.6 standard by requiring students to solve 8 word problems that involve four-digit dividends and remainders. By forcing students to interpret what a remainder represents—whether it is a leftover cupcake or the need for an additional bus—this resource builds the conceptual depth required for middle-school mathematics. Research from Fisher & Frey (2014) suggests that providing dedicated thinking space alongside problems reduces cognitive load during multi-step procedures. This resource is an essential tool for any Grade 5 classroom seeking to bridge the gap between abstract division and practical application.