Division with Remainders | Long Division with Single-Digit Divisors

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Division with Remainders & Long Division with One-Digit Divisors Lesson Workbook


30 Step-by-Step Math Lessons | Special Education Math Intervention | 4th Grade Math Level


This Division with Remainders and Long Division with One-Digit Divisors lesson workbook includes an example IEP goal, 30 step-by-step math lessons, reviews and assessments. This evidence-based math intervention is tied to fourth grade standards and is great for special education math goals and tier 2 small group math interventions (RTI).

These sequential lessons are easy to teach, with enough material for 8 weeks of instruction!


Division with Remainders

These lessons sequentially cover the progression from dividing with visual representations to solving word problems and interpreting the remainder.


Long Division with One-Digit Divisors

This section addresses the standard algorithm of long division--nothing fancy or new.  It gives students lots of practice and progresses incrementally from two-digit quotients with no remainders up to four-digit quotients with remainders. A grid is provided with each problem to assist students with keeping the columns straight. 


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This PDF Download Includes:

30 Lessons
7 Reviews
7 Tests

211 Pages

8 Weeks of Instruction


Students Will Be Able To:

Division with Remainders

  • Use a picture to show the remainder
  • Multiply and subtract to find the remainder
  • Count back to find a multiple the divisor with go into evenly
  • Recognize answers that are too small and fix them
  • Recognize answers that are too large and fix them
  • Interpret remainders when answering word problems

Long Division with One-Digit Divisors

  • Underline the part of the problem to be worked first
  • Solve problems with two-digit quotients
    • no remainder, divide into 2-digit and 3-digit numbers
    • with remainder, divide into 2-digit and 3-digit numbers
    • quotients ending in zero
    • check answer by multiplying
    • divisibility and setting up a division problem
  • Solve problems with three-digit quotients
    • some remainders, divide into 3-digit and 4-digit numbers
    • quotient has a zero in the tens place
    • check answer by multiplying factors and setting up a division problem
  • Solve problems with four-digit quotients
    • some remainders, divide into 4-digit and 5-digit numbers
    • check answer by multiplying
    • divisibility and factors


Lessons Are Tied to This Fourth Grade Math Standard:

  • Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors (CCSS 4.NBT.B.6)


Teacher Feedback:

❤️My students are engaged with this resource. The sequential steps and plenty of practice make new skills more attainable, and saves me lots of time developing materials." -Cynthia H.


❤️ “Your math resources have been excellent in filling in the gaps the curriculum we are given has. My students have really mastered the content after these lessons." -Sarah A.


❤️ SOOO much easier to learn using your resource" -Jennifer W.


❤️ “Great resource! Love the step by step lessons and graphic organizers are easy to use for students! Thank you :-)" -Terri M.


❤️ “This is been very helpful for my students." -Stephanie H.


❤️ “Great materials! Easy explanations and the students understand it!" -Melissa T.


❤️ “This is a great way to break down and help students understand the concept." -Jen S.


❤️ “What a fantastic resource! I love that this is clear, straight-forward, and provides ample practice. I will definitely be purchasing your other resources." -Jennifer B.


❤️ “AMAZING product! Used in a resource room and students and their parents kept commenting how they wished the classroom teacher used this program. HIGHLY recommend!" -Jennifer M.


❤️ “FABULOUS! Everything is broken down and explained. Great visuals, organization, plenty of practice pages! A go-to resource!" -Wendy R.


❤️ “My students love using this. I teach 4th and 5th-grade students who have mild learning challenges and most are dyslexic. Once they tried this resource, they asked for it when I tried to use something else. The students like the format of the squares that tell them where to put the numbers. They usually don't need the amount of repetition that this resource provides, but it is good to have it, just in case."

-Janice D.


❤️ “I love all your resources. This breaks long division down in steps that my students can do! Thanks so much-your resources make my job so much easier!" -Janelle M.


❤️ “This was a game-changer. Students were totally blocked on long division with the school curriculum. We introduced these steps and within days started to see progress. Has lots of practice problems. Thank you so much for a great resource!" -Deborah R.


❤️ “LIFESAVER! Made it so much easier to learn." -Jennifer W.


❤️ “My student enjoyed this and actually asked for more!!!" -Amy J.


❤️ “I absolutely love all of her workbooks! They are easy to implement and well organized!" -Julia D.


❤️ “A lifesaver for my struggling students!" -Ashley B.


❤️ Easy to use and easy to differentiate with." -Cynthia S.


❤️ “The step by step explanations are perfect in my special education classroom. It really helps my kids master the concepts!!" -Lori M.


❤️ Very thorough - my class loved this!" -Lori I.


❤️ “Normally I just write a basic generic comment, but not this time! This workbook is amazing! I can't imagine the time it took to create! As a general ed teacher it has been perfect for my identified and RTI students. For the 1st time I finally feel like I am offering them a truly new way to learn long division."


View More Multiplication and Division Workbooks


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Watch a video overview of Step-by-Step Math to Mastery or read the transcript here.

Step-by-Step Math to Mastery™ Resources:

Make math easier to understand.

  • Help students over math hurdles with clear, sequential, scaffolded lessons.
  • Prevent overwhelm. Build student confidence.

Make math easier to teach.

  • Save hours of planning and piecing together materials.
  • Paraeducators can deliver quality instruction independently. Open & teach.

Reasons You'll Love Step-by-Step Math to Mastery™ Resources

  • Boosts student confidence and progress
  • Lightens teacher workload
  • Time-saving: print and teach
  • Easy prep: only black ink is needed
  • Easy to teach, paraeducator-friendly
  • Example IEP goals and shorter term objectives
  • Consistent & predictable format
  • Lots of practice repetitions
  • Scaffolded with structured workspaces
  • Fewer problems on a page, white space, minimal visual clutter
  • Tied to standards
  • Explicit/Direct instruction
  • Systematic & sequential
  • Mastery approach--teaching one topic at a time, one strategy at a time
  • Lessons have "I Can" statements, model problems, guided practice, & independent practice
  • Each workbook can be used individually as a stand-alone intervention for that skill or they can be used together, taking students from the basics of number sense and addition in first grade all the way to dividing fractions and decimals in fifth grade.
  • Can also be used with older students (middle & high school) to help fill the gaps in their learning.


About the Author

Hi! I am a Special Education & Title 1 teacher interested in task analysis. My resources break tasks into small and explicit steps, reducing cognitive load for learners so they can feel successful and confident rather than overwhelmed and reluctant to try. I strive to lighten the workload of teachers by making resources as practical and easy-to-use as possible. I sincerely hope my work can benefit you and your students.

I appreciate your support and feedback.


Terms of Use

Copyright © Angela Dansie, All rights reserved. This product is to be used by the original purchaser for single class use only. You may not put this product on the internet where it could be publicly found and downloaded. Copying for more than one teacher, classroom, department, school, or school system is prohibited. If you want to share this resource with colleagues, please purchase additional licenses. Failure to comply is a copyright infringement and a violation of the Digital Millennium Copyright Act (DMCA). Clipart and elements found in this PDF are copyrighted and cannot be extracted and used outside of this file without permission or license. Intended for classroom and personal use only.

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