Dividing a decimal by another decimal is simple when you know a couple simple strategies. I have had incredible results with Area Division! The strategies taught within this article work with children who have ADHD, Dyslexia, and other learning disabilities. Virtually every one of my students who has learned the strategies within this HOW TO DO LONG DIVISION article has passed the standards based assessment for dividing decimals by decimals.
This is the final article in a series of seven. Each article is a complete lesson on division. If you have not read the first article, you can click here to read why my strategies are so very successful. In this seventh article we will focus on divided a decimal by another decimal. Every problem has its own video tutorial, offering immediate online tutoring for your child.
1.026 ÷ 82 = 0.38
For a child learning to divide – Nothing is more frustrating than when they do NOT know all their multiplication facts. It stops them dead in their tracks, making division virtually impossible. 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.
I have scaffold the problems in each lesson. The first problem is a “Watch Me” problem. The second is a “Work with Me” problem. All the rest are “On Your Own” problems. For more information about the scaffolding process, visit the first article on How to do Long Division.
*If your child continues to struggle, 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.
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How to do Long Division with Online Tutoring in Math: Challenge 1
Watch Me
Skunk Juice
Sulky the Skunk has been chased by more dogs than any other skunk in the entire world. Sulky is a sweet little fella, but when chased, he does spray, and the dogs do cry! Whenever Sulky tries to eat some tasty garbage he is chased by a dog. Sulky sprays 0.8 ounces of skunk juice each time he is chased. In the past week, Sulky sprayed 55.2 ounces of skunk juice. How many dogs did Sulky spray?
Hint: How many 0.8 ounces are in 55.2 ounces, or 55.2 ÷ 0.8 = n?
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!
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Could your child benefit from a little One-On-One tutoring?
The problem below is called a “Work with Me” challenge. This challenge encourages your child to work step-by-step along side me to solve this challenge. All of the following challenges are called “On Your Own” challenges. However, many of my students who struggle with division will do five or six of the “On Your Own” challenges as a “Work with Me” challenge. They play the video, pause it, and copy the strategies until they feel comfortable and confident. Doing the problems as a “Work with Me” challenge is like having a personal tutor.
How to do Long Division with Online Tutoring in Math: Challenge 2
Work With Me
Surfer King
You are the king of surfing. You surf the big waves, and you love the challenge. Last year, you surfed a total of 17.1 miles. You need to go from where the wave first starts to break all the way to the beach in order to count your ride as a Surf Run. Each Surf Ride is 0.6 of a mile. How many Surf Runs did you have last year?
Hint: how many 0.6 miles are in 17.1 miles, or 17.1 ÷ 0.6 = n.
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.
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Do your children get frustrated when they make a mistake?
We all make mistakes. As a matter of fact, making mistakes is an essential part of the learning process. This is why at the end of each of the following “On Your Own” challenges I encourage children to fix their mistakes. Finding and fixing your own mistake is the fastest way to learn.
How to do Long Division with Online Tutoring in Math: Challenge 3
On Your Own
Waterfall Hike
You love hiking. You came across majestic view on one of your hikes. The waterfall is 28.8 miles from the trail head where your parents parked. You walked 0.8 miles every hour. How many hours did it take you to get to the falls?
Hint: How many 0.8’s are in 28.8, or 28.8 ÷ 0.8?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
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How to do Long Division with Online Tutoring in Math: Challenge 4
On Your Own
Chicken Coop
You were just given two baby chicks. Now, you need a chicken coop the keep them same from raccoons and the fox that roams around your home. You have a piece of wood that is 8.25 feet in length. You need to cut the wood into 0.75 feet pieces. How many 0.75 foot pieces can you cut cut?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
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How to do Long Division with Online Tutoring in Math: Challenge 5
On Your Own
Loretta Lizard’s Blanket
You have a new pet lizard named Loretta. She is adorable, but she gets cold at night, so you made her this blanket. The blanket used 2.25 yards of fabric, and it cost $31.50. How much did you pay per yard for the fabric?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Is it time for a relaxing cup of Tea?
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How to do Long Division with Online Tutoring in Math: Challenge 6
On Your Own
Roof Repair
You are helping your dad repair your roof. He sends you to the store for a box of nails. The box contains 5.3 pounds of nails. It costs $16.96. Another box has 1-pound of nails, and it cost $3.55. Which is the better buy per pound?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
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How to do Long Division with Online Tutoring in Math: Challenge 7
On Your Own
Life as a Lifeguard
Your sister is a lifeguard at the local pool. It looks like the perfect job, because she gets to sit in the sun, hop in the cool water, and yell at kids – what could be better than that? Your sister worked for 6.8 hours last week and made $88.40. How much did your sister make per hour?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
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How to do Long Division with Online Tutoring in Math: Challenge 8
On Your Own
Sick Dog
Meet Duke. He is a Shar Pei, and he is feeling a bit blue. The vet prescribed a bottle of medicine, which contains that 19.25 ounces of a cure for Duke. If each dose that you give to Duke is 1.75 ounces, how many doses are in the bottle?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
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How to do Long Division with Online Tutoring in Math: Challenge 9
On Your Own
Henrietta Hawk
Henrietta Hawk flew 15.52 kilometers in search of food. She finally found a tasty snake and had dinner. If there are 1.6 kilometers in a mile, how many miles did Henrietta Hawk have to flew in order to eat?
Hint: how many 1.6 kilometers are in 15.52 kilometers, or 15.52 ÷ 1.6 = n.
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
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How to do Long Division with Online Tutoring in Math: Challenge 10
On Your Own
Billy Blue Bird
Meet Billy Blue Bird. He is a proud bird and says that from talon to tail feather, he stands over 4 inches tall. When he was measured, he stood 8.89 centimeters tall. There are 2.54 centimeters in an inch. Dose Billy Blue Bird stand taller than 4 inches high? Exactly how tall is Billy Blue Bird when measured in inches?
Hint: how many 2.54 centimeters are in 8.89 centimeters, or 8.89 ÷ 2.54.
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
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Drill & Kill
Here is where we Drill until we Kill all our mistakes!
- The following problems can all be solved with the same strategies we used to solve the first ten problems.
- Solve all four problems on each page.
- Watch the video & correct your work.
- Review your work with your teacher.
- If you get all 4 problems correct, your parent or teacher may tell you that you’re ready to move to the next book within this series.
Good Luck!
Drill & Kill Any Mistakes
Challenge 11
Problem 1 116.25 ÷ 3.75 =
Problem 2 158.4 ÷ 4.8 =
Problem 3 72.96 ÷ 0.76 =
Problem 4 35.04 ÷ 4.8 =
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Drill & Kill Any Mistakes
Challenge 12
Problem 1 30.15 ÷ 6.7 =
Problem 2 3.293 ÷ 0.89 =
Problem 3 2.584 ÷ 0.38 =
Problem 4 17.75 ÷ 2.5 =
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Drill & Kill Any Mistakes
Challenge 13
Problem 1 2.288 ÷ 8.8 =
Problem 2 393.3 ÷ 6.9 =
Problem 3 1.786 ÷ 0.47 =
Problem 4 2.691 ÷ 0.39 =
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Drill & Kill Any Mistakes
Challenge 14
Problem 1 4.717 ÷ 0.89 =
Problem 2 3.663 ÷ 4.07 =
Problem 3 24.18 ÷ 7.8 =
Problem 4 2.535 ÷ 3.9 =
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Need Help with Multiplication?
I have a series on Multiplication that is specifically designed for children who do not have all of their multiplication facts memorized. The series is designed in a similar manner to this series on division, where each and every problem is linked to a video tutorial. Here is a link to my series on Multiplication.
Thank you for reading this article!
Want More Tutorials?
TeachersDungeon is an Educational Fantasy Game. It is 100% FREE! The game is set to the Common Core Educational Standards, and is web-based, so it can be played on any device. Many of the questions are accompanied by tutorials like the ones you saw here.
One Last Thing
If you like this post and found it helpful, please leave a brief comment. As a teacher, perhaps the greatest reward I receive is from parents, children, and fellow teachers who use my strategies of education and succeed.
My mission in life and as an educator is to make people feel empowered, self-assured, and happy about who they are in this world! We all have gifts to bestow upon our world. Go forth and do so, and know that you are awesome!