Master Long Division with Confidence: Proven Strategies to Help Your Child Succeed
Unlock the secret to mastering long division with our latest blog post!
This comprehensive guide includes five sample problems designed to boost your child’s understanding of long division from the very start.
Why Do Children Struggle with Long Division?
Long division is one of the most challenging concepts for elementary students. The complexity of dividing large numbers can feel overwhelming, leading to frustration and disengagement.
When children face difficulty with long division, it often affects their overall confidence in math. This can cause them to fall behind their peers, making it harder to build the skills necessary for future mathematical success.
Introducing Area Division: A Game-Changing Strategy
To help children overcome this challenge, I developed a proven strategy called Area Division. This innovative method simplifies the division process, reducing frustration and improving success rates. Our blog post, “HOW TO DO LONG DIVISION,” walks your child through these strategies step by step.
In this article, your child will:
- Learn Innovative Techniques: Discover strategies that simplify the process of long division, especially for children who struggle with multiplication facts.
- Build Math Confidence: Step-by-step video tutorials provide clear guidance, helping your child feel empowered in their learning journey.
- Develop Long-Term Success: Mastering division is critical for future math concepts like fractions, decimals, and algebra.
Success in Steps: Building Skills with Structured Practice
This is the third article in a seven-part series, each providing structured lessons on division. In this lesson, we focus on dividing three-digit numbers by two-digit numbers. Every problem includes a video tutorial offering immediate online tutoring for your child.
When you complete this article, click here to move to the next lesson, How to do Long Division – Four Digits Divided by Two.
ESTIMATING WHEN YOU HAVE A TWO-DIGIT DIVISOR
Typically, children are taught to round the devisor before estimating how many time the divisor will go into the dividend. For example, with the problem 433 ÷ 74; Children are taught to round 74 down to 70. This can cause a lot of frustration and erasing. Next, since 7 x 6 = 42, you would multiply by 6. But as you can see below, the 6 is too high and that would put you over, so you would have to erase and try again.
ESTIMATING HIGH WITH AREA DIVISION
When children are struggling with the basic concept of division, you need to simplify the process, so they can feel successful. This is why I teach children to estimate high. With some problems, like 719 ÷ 83, it does add an extra step, but as you can see in the mathematical model below; there is NO erasing and it works every time.
With this strategy, children will never get frustrated, because they guess too high and have to erase!
The Power of “Counting by the Numbers”
For children who struggle with multiplication facts, “Counting by the Numbers” is a powerful strategy that helps them succeed. Each of my videos includes this method, allowing students to develop their multiplication skills while mastering division. Once children feel confident with their multiplication facts, they can skip the “Counting by the Numbers” section and focus solely on the division process.
Step-by-Step Learning with Video Tutorials
Every lesson includes:
- Watch Me: Students watch a guided example where I walk them through each step.
- Work With Me: Students solve problems alongside me, pausing the video to write each step.
- On Your Own: Students practice independently with a supporting video for guidance if needed.
If your child needs more support, encourage them to use the “On Your Own” problems as “Work With Me” problems. Many students with learning gaps or disabilities have excelled with this strategy, ultimately passing their Common Core Proficiency Exams.
How to do Long Division with Online Tutoring in Math: Challenge 1
Watch Me
17 Sleeping Lions
Lions & Flies
You are on a safari in the heart of Africa. You look to the side of your jeep and see 17 sleeping lions. As they sleep, they are attacked by 816 buzzing flies that land on them and try to disturb their sleep.
❓ If the flies are equally dispersed among the 17 lions, how many flies are on each lion?
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
Tiger Streak
Tigers & Stripes
You are a scientist studying the mighty tiger on the Asian continent. You find a streak of 37 tigers . Your team of scientists adds all their stripes and finds that they have 967 stripes in total.
❓ If each tiger has the same number of stripes, how many stripes does each tiger have?
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
Lion Dentistry
Lion Dentistry
You are an animal dentist. You clean teeth on the most dangerous of felines. Over time, you have cleaned 946 lion teeth .
❓ If each lion has 43 teeth, how many lions have you worked your dentistry miracle on?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Case Study: From Math Anxiety to Math Champion
Meet Emily — a bright fifth grader who struggled with long division. Despite her efforts, she often became overwhelmed and frustrated. Her parents tried tutoring, extra practice, and even online learning platforms, but nothing seemed to work.
After discovering Area Division on TeachersDungeon.com, Emily started using the “Play-Pause-Copy” method in my video tutorials. By pausing after each step, copying down her work, and resuming the video when ready, she developed a deeper understanding of the division process. Within a few weeks, Emily’s confidence soared, and she successfully completed every “On Your Own” problem in the series. Her parents were thrilled when Emily not only passed her Common Core Proficiency Exam but also started enjoying math for the first time.
If your child is struggling like Emily, I encourage you to explore these free video tutorials to see the difference Area Division can make.
Empower Your Child’s Learning Journey
Discover the transformative power of learning with TeachersDungeon.com today. Our engaging math tutorials are designed to make learning fun, interactive, and effective. By combining imaginative word problems with proven strategies like Area Division and Counting by the Numbers, your child will gain the skills and confidence they need to thrive in math.