Simply write the “counting by the numbers” above their problem. For children who do NOT know their multiplication fact, this is a game changer that can lead to success! For example, with the problem 535 ÷ 7; Children can write “counting by the numbers” for 7’s. The mathematical model below shows the results.
My goal is for children is to memorize their multiplication facts. However, until they know all their facts, they need a strategy. Counting by the numbers is the easiest strategy to learn. Therefore, I have added counting by the numbers to the end of each and every video. Children who do not know all their multiplication facts should watch and count with me at the end of each of these videos until they can count by all the number on their own. Repetition of this strategy will help in all areas of math that require multiplication. Once a child knows all their multiplication facts, they can stop the videos after the problem is solved and before Counting by the Numbers begins.
This is the first article on Area Division. When you complete this article, click here to move to the next lesson, How to do Long Division – Four Digits Divided by One (4,224 ÷ 8) with Online Tutoring in Math.
Step-By-Step Math Video Tutorials
Every problem in our program is linked to a dedicated video tutorial that walks students through each step of the solution. These videos offer immediate online tutoring, allowing children to pause, rewind, and follow along at their own pace.
How to Use Our Video Tutorials for Maximum Success
We recommend this proven method to help your child succeed:
- Watch the “Watch Me” Problem: Start with an example problem where I guide students step by step.
- Try the “Work With Me” Problem: Have your child attempt the next problem alongside the video, pausing whenever needed to copy each step.
- Tackle the “On Your Own” Problems: These practice problems build independence and reinforce learning. If your child needs extra support, they can follow the “Work With Me” format for these problems as well.
Real Results: Helping Students with Learning Challenges
For students with ADHD, Dyslexia, or gaps in their learning, our “Play – Pause – Copy” method is like having a personal math tutor. By following along with the video, pausing to copy each step, and then continuing, students develop confidence and skill in long division.
Every student who has followed this method has successfully passed the Common Core Proficiency Exam.
Fun Math Challenges for Kids
We believe math learning should be engaging! Our blog post includes five creative, real-world math challenges that make learning long division exciting:
How to do Long Division with Online Tutoring in Math: Challenge 1
Watch Me
Cookies For Sale
You love to bake. Your favorite thing to bake is cookies, and everyone says your cookies are the best! So, you decide to sell your cookies. You have baked 524 cookies. Each cookie box holds 8-cookies.
How many boxes do you need?
Will you have any cookies left over?
Watch this Free Tutoring for Math Video!
Press PLAY and Watch this Free Tutoring for Math Video below. Then copy these strategies into your notes!
How to do Long Division with Online Tutoring in Math: Challenge 2
Work With Me
Mountain Bike Tour
You and your family love mountain biking. You decide to go on a family mountain biking tour across a 230-mile trail of the Rocky Mountains. Your plan is to ride 7 miles each day.
How many days will it take you to complete your mountain biking tour?
Watch this Free Tutoring for Math Video!
Gather your materials and press PLAY. We’ll solve this problem together, while you watch the math tutorial video below.
How to do Long Division with Online Tutoring in Math: Challenge 3
On Your Own
Junior NASA Club
You have joined the Junior NASA Club of America. It is a very cool club that teaches you about being an astronaut. Today you get to put on a space suit and fly in a super fast jet. Your jet will fly super fast for 9 seconds. You will travel 345 miles in that time.
How far will you travel each second?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Case Study: How Area Division Helped Emma Master Long Division
Meet Emma, a bright and energetic 4th grader who struggled with math, particularly long division. Despite her best efforts, Emma often became overwhelmed when dividing large numbers, leaving her frustrated and doubting her abilities. Her parents tried everything from tutoring to practice worksheets, but nothing seemed to click.
The Challenge: Emma’s biggest hurdle was keeping track of the steps in long division. She often forgot where to place numbers, struggled with multiplication facts, and became easily discouraged when mistakes piled up. Her confidence plummeted, and her frustration grew to the point where she dreaded math class altogether.
The Turning Point: Emma’s parents discovered The Teacher’s Dungeon and decided to try the Area Division method. By combining visual learning strategies with interactive video tutorials, Emma could finally see long division in action. Each video broke the concept into manageable steps, allowing her to follow along at her own pace.
Emma’s parents encouraged her to start with the “Watch Me” problems. She would watch the video and copy the steps into her notebook. After gaining confidence, she moved on to the “Work With Me” problems, where she followed each step by pausing the video as needed. This allowed her to digest the material in smaller, more manageable steps.
The Results: In just four weeks of consistent practice using the Play-Pause-Copy strategy, Emma’s understanding of long division skyrocketed. By writing the “Counting by the Numbers” strategy above each problem, she no longer stumbled on multiplication facts. Emma’s teacher noticed a dramatic improvement in her accuracy and confidence.
When her class took the district-wide math assessment, Emma not only passed the long division section—she scored in the top 15% of her class. Her newfound confidence transformed her attitude toward math, and she now tackles challenging problems without hesitation.
Why Area Division Worked for Emma:
✅ Visual Learning: The step-by-step video format allowed Emma to see each step in action.
✅ Play-Pause-Copy Method: Emma could pause the video to absorb information at her own pace.
✅ Counting by the Numbers: This strategy filled the gap in her multiplication skills, empowering her to focus on the division process.
Empower Your Child’s Math Journey! If your child struggles with long division, they’re not alone. Just like Emma, your child can unlock the secrets to dividing large numbers with confidence and ease.
✅ Watch our interactive math tutorials
✅ Use the proven Play-Pause-Copy strategy
✅ Gain access to over 1,500 video tutorials and 46 math books with your membership to The Teacher’s Dungeon.