Printable Long Division Worksheet | Grade 4 Math

This Grade 4 division worksheet provides essential practice for mastering 3-digit by 1-digit long division. Students work through a structured progression from basic mastery to advanced challenges involving remainders. By calculating quotients and verifying results, learners build the numerical fluency required for complex multi-step math problems and real-world applications of equal sharing.

At a Glance

• Grade: 4 · Subject: Math
• Standard: 4.NBT.B.6 — Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors
• Skill Focus: 3-Digit by 1-Digit Long Division
• Format: 5 pages · 23 problems · Answer key included · PDF
• Best For: Independent practice and homework reinforcement
• Time: 25–40 minutes

What's Inside

This comprehensive five-page set contains 23 long division problems designed for clear work-showing. The layout provides ample space for students to perform vertical calculations. The packet includes a complete answer key for rapid grading and self-correction, ensuring that both teachers and parents can monitor progress effectively across three distinct instructional sections.

Skill Progression

• Guided practice begins in Section 1 with nine 3-digit dividends that divide evenly, allowing students to focus on the procedural steps of the standard algorithm.
• Supported practice follows in Section 2, introducing nine challenging problems where students must identify and record remainders, increasing the cognitive demand of the task.
• Independent practice concludes in Section 3 with a five-problem mixed review to solidify mastery and ensure retention.

This sequence follows a gradual-release model to build confidence before introducing the complexity of remainders.

Standards Alignment

The primary focus of this worksheet is 4.NBT.B.6, which requires students to find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors using strategies based on place value and the properties of operations. Supporting standards include 4.OA.A.3 for multi-step word problem foundations. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Assign this worksheet as a mid-unit practice set after students have been introduced to the long division algorithm. For a formative assessment tip, observe students during Section 2 to see if they correctly handle "zero" in the quotient or properly interpret leftover values as remainders. Completion typically takes 30 minutes, making it an ideal choice for a substantial homework assignment or a guided math station.

Who It's For

This resource is designed for Grade 4 students mastering multi-digit arithmetic and Grade 5 learners requiring intervention or review. It serves as an excellent pairing resource for a direct instruction lesson on the "Divide, Multiply, Subtract, Bring Down" mnemonic or alongside a division anchor chart for visual support.

Effective mastery of long division requires repeated, structured engagement with the standard algorithm to move from procedural knowledge to conceptual fluency. According to Fisher & Frey (2014), the use of a gradual-release model—moving from simple divisions to those with remainders—is critical for ensuring students do not develop misconceptions during the acquisition of complex mathematical operations. This worksheet aligns with the 4.NBT.B.6 standard by providing 23 targeted 3-digit by 1-digit problems that require students to show their work and account for remainders. By partitioning the practice into mastery, challenge, and review sections, the resource ensures that students encounter a variety of dividend types, which NAEP data suggest is essential for long-term retention of calculation skills. This tool provides the repetitive but varied practice necessary for students to achieve the automaticity needed for higher-level algebra and proportional reasoning in later grades.