Extended Multi-Digit Divisors

This worksheet is designed for upper elementary and middle school students (Grades 5-7) who are ready to strengthen mastery of long division with very large dividends and varied, multi-digit divisors. The problems demand careful attention to place value, sustained concentration, and consistent application of the long division algorithm. Through extensive, rigorous practice, learners build accuracy, endurance, and confidence with complex calculations.

Skills Reinforced

• Mastery of Long Division with Large Numbers
  Accurately divide very large dividends using multi-digit divisors.
• High-Level Arithmetic Accuracy
  Maintain precision across lengthy, multi-step computations.
• Place Value and Multi-Step Operation Management
  Align digits correctly and manage values across multiple place-value positions.
• Verification Using Multiplication
  Check solutions by multiplying the quotient by the divisor to confirm accuracy.

Instructional Benefits

• Extended, High-Rigor Practice
  Provides substantial repetition to support deep skill mastery.
• Emphasis on Process and Precision
  Reinforces careful execution of each step in the long division algorithm.
• Builds Computational Stamina
  Helps students sustain focus and accuracy over challenging problem sets.
• Encourages Mathematical Self-Checking
  Promotes strong habits through answer verification with multiplication.
• Flexible Use
  Ideal for enrichment, advanced practice, test readiness, independent work, or remediation for students needing extended repetition.

This printable worksheet offers demanding, structured practice that helps students solidify long division skills with large numbers. By working through complex problems and verifying their results, learners strengthen number sense, procedural fluency, and confidence-preparing them for higher-level mathematics where accuracy and endurance are essential.

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