Division

How to do Long Division - Four Digits Divided by One (4,224 ÷ 8) with Online Tutoring in Math

How to do Long Division - Four Digits Divided by One (4,224 ÷ 8) with Online Tutoring in Math
Unlock the secret to mastering long division with our latest blog post!

This post includes five sample problems to enhance your child’s understanding right from the start.

Long division can be an intimidating hurdle for many children. The process of dividing large numbers often seems complex and overwhelming, leaving students feeling frustrated and defeated.

Without a solid grasp of long division, your child may struggle with more advanced math concepts, leading to a lack of confidence and a growing aversion to math. This can cause them to fall behind in their studies and miss out on developing essential problem-solving skills.

That’s why I designed “HOW TO DO LONG DIVISION” to make the process accessible and achievable for every child. In our blog post, your child will:

  • Learn Step-by-Step Methods: Clear, straightforward instructions that break down long division into manageable steps.
  • Build Confidence: Success in division leads to greater confidence and a positive attitude towards math.
  • Prepare for the Future: A strong foundation in long division is crucial for tackling more complex mathematical challenges.

This is the second article in a series of seven, each providing a comprehensive lesson on division. Visit our website (https://www.teachersdungeon.com/) for a complete educational program designed to help kids excel in mathematics. By following our proven strategies, your child will gain a deeper, more concrete understanding of division, setting them up for a successful educational journey. Don’t miss out—empower your child’s learning today!

If you have not read the first article, you can click here to read why my strategies are so very successful.  In this second article we will focus on four digit numbers divided by one digit numbers.  Every problem has its own 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 – Three Digits Divided by Two.

The photo below show an example of how my students use area division to solve problems with a four digit number divided by a one digit number.  Notice that the first step is to write the “counting by the numbers” above their problem.  This strategy is specifically designed for children who do NOT know their multiplication facts.  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.

Area Division - Article 2

 

I have scaffold the problems in each lesson. 

The first problem in this article is a “Watch Me” problem.  The second is a “Work with Me” problem.  All the rest are “On Your Own” problems. 

*If your child needs a bit more support, they should complete the “On Your Own” problems as a “Work with Me” problem.  I have a number of students with gaps in their learning and others with a variety of  learning disabilities.  I have had incredible success, by having those students complete 5 to 7 problems within each lesson as a “Work with Me” problem.  They play a bit of the video, then pause it  and copy, then watch a bit more, pause it and copy.  My students Play – Pause – and Copy until the entire problem is solved.  This is like having a personal tutor working through each and every problem with your child.  Every one of my students who has used this strategy has passed the Common Core Proficiency Exam.

How to do Long Division with Online Tutoring in Math: Challenge 1
Watch Me
Unicorns to the Rescue

You are traveling through a fantastic world of dwarves, giants, and trolls.  You are high on a bluff that overlooks a great lake when 4,389 trolls attack.  There is a thunderous sound of splashing hooves.  You look across the lake to see 7-Unicorns rushing to your rescue.

How many trolls does each unicorn have to defeat in order for you to escape?

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

Lost Polar Bears

You are traveling through Alaska.  There are 6,391 polar bears that are lost in the tundra.  You decide to help them find their way by leading them to the nearest glacier.  However, you can only lead 8 polar bears per trip.

How many trips must you lead before all of the lost polar bears find a new home?

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

Eyes in a Peacock Muster

You own a Peacock farm.  Your favorite thing to do each morning is to look across the farm and see the muster of peacocks.  Muster is the noun we use to describe a group of peacocks.  As you know, Peacocks have the image of eyes on their tail feathers.  If a predator wants to eat them the peacocks will flash their tail feathers, and the predator will think that there are a lot of animals looking at him, so he will get scared and run away.

With their tail feathers flashing the eyes, you see 4,568 eyes.  If each tail feather has 3 eyes on it, how many tail feathers do your birds have?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

 

How to do Long Division with Online Tutoring in Math: Challenge 4
On Your Own

Butterfly Eggs

You are walking through a green field of tall grasses and plants when you spot a number of butterflies.  You look a bit closer at the plants and notice that there are a ton of butterfly eggs on them.  As a matter of fact, there are 7,569 butterfly eggs on the plants.  If each butterfly lays 9 eggs, how many butterflies laid these eggs?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

 

How to do Long Division with Online Tutoring in Math: Challenge 5
On Your Own

Apple Eaten Horses

You are a wrangler working on a horse ranch.  A wrangler is someone who works with horses to tame them, so people can ride them.  You love your horses and your horses love apples.  You bought 9,568 apples.  You give the apples to your six favorite horses.  How many apples does each horse eat?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

 

Want More Tutorials?

Discover the transformative power of learning with TeachersDungeon today. Dive into a world where education meets adventure, empowering students from grades 3 to 6 with personalized math instruction that adapts to their needs. Whether you’re an educator looking to enrich classroom learning or a parent seeking to support your child’s academic journey, The Teacher’s Dungeon offers interactive gameplay, instant help with video tutorials, and comprehensive progress tracking through its Stats Page. Visit The Teacher’s Dungeon’s website now to explore how our innovative approach can elevate your child’s math education. Embark on this exciting educational journey with us and watch your students thrive!

The Teacher’s Dungeon

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.