High-Digit Long Division

This worksheet is designed to challenge students in upper elementary and middle school (Grades 5-7) as they refine their skills with high-digit long division. Students solve a range of complex division problems involving large dividends, requiring sustained attention, strong number sense, and precise execution of the standard algorithm. The structured grid format supports correct alignment and organized work throughout each multi-step calculation.

Skills Reinforced

• Advanced Long Division Techniques
  Apply the full long division algorithm to high-digit, multi-step problems.
• Multi-Digit Number Sense
  Use place value understanding to manage large numbers accurately.
• Algorithmic Problem-Solving
  Integrate estimation, multiplication recall, subtraction, and regrouping.
• Complex Computation Accuracy
  Maintain precision and consistency across lengthy operations.

Instructional Benefits

• Structured Grid Support
  Helps students align digits correctly and track each step of the process.
• High-Level Cognitive Demand
  Encourages focus, perseverance, and attention to detail.
• Strengthens Estimation and Reasonableness Checks
  Students must judge whether quotients make sense at each stage.
• Builds Computational Stamina
  Supports endurance needed for extended problem solving.
• Flexible Classroom Use
  Ideal for independent practice, guided instruction, enrichment, remediation, or test preparation.

This printable worksheet provides rigorous practice for students ready to tackle advanced long division. By working through high-digit problems with visual structure and repeated application of the algorithm, learners strengthen accuracy, confidence, and mathematical endurance. The activity prepares students for higher-level mathematics where complex, multi-step computation is essential.

This worksheet is part of our Dividing Larger Numbers Worksheets collection.