Long Division: post 5 out of 5

Welcome back! 

In this blog we will be exploring a variety of websites that would aid in the development of your child's long division skills, and math skills in general! 

Looking for worksheets to practice with your child? This website provides worksheets at varying levels. Each worksheet come with solutions in case you are unsure about any of the questions! 

Check it out! Click the link →

https://www.homeschoolmath.net/worksheets/long_division.php

Try these detailed step by step instructions to solving long division problems. This page is fun and interactive. It provides support to almost any mathematics topic your child may encounter at school!
Check out this site- https://www.mathsisfun.com/long_division.html

This site also serves as a guide to solve long division problems- http://www.ducksters.com/kidsmath/long_division.php

This site provides over 200 lessons, and is arranged according to grade level. There are games. lessons and many fun activities on this site check it out -

http://www.adaptedmind.com/panimmathv1.php?tagId=296

Let's end it in fun, here is a site that provides math games for your child. Isn't this a lovely way to keep your child interested while learning? Children love the internet, and technologies associated with the internet,  this site provides an opportunity for learning and increasing math skills in a fun interactive way.   Click the link and explore the beauty of math with your child- https://www.mathplayground.com/

Do not worry this isn't the end, comment your child's  area of difficulty with math and we will provide blogs that would assist you and your child! Remember math is fun! Look out for more blogs soon! 

And be sure to check back often for new blogs! 

Long Division- post 4 out of 5

Now that your child has mastered the two previous steps, lets dive deeper into the beautiful lake of long division! 

Before moving on to step three, ensure that your child has mastered 1digit by 1digit with no remainders. 

Step Three 

Remember even though your child/ the child you are working with has mastered the previous steps it still important to have them recite the steps as they solve more complex problems. 

2 digit by 1 digit long division, with no remainders or no zeros involved! Lets go!!

Hint: Remember division and multiplication go hand in hand! Remind the child of that also!

Present the child with a problem written like this : 3 ➗ 63= 

Ask the child to solve the problem using long division, and observe what he or she does first. 

The first thing that should be done is to rewrite the problem. 

Like this →     3⟌63 ...... note that the line above is supposed to stretch over the number 63

Now let's look at the first number of the dividend, it's 6 right? Have the child recall the first step! 


So we are dividing, we must divide the first number of the dividend - 6 by the divisor 2

We say 3 into 6 or 6 divided by 3 is- 

          2   

     3⟌63       notice that the quotient 2 is written directly about the dividend 6. 

The problem isn't finished yet, we have only covered the first step! 

What do we do now? Recall the steps! 

We multiply!! 

Just like the previous problems, we multiply the quotient 2 by the divisor 3! 

     2

3⟌63  

    6                  (2 ✖ 3= 6 )

notice that the six is written directly below the first digit of the dividend. 

We are halfway through! 

Hint: if  the child you are working with is having difficulty understanding the division and multiplication you can use visuals to help them. Counting materials that they can manipulate would be useful, or they can even draw the counters. Sometimes children doubt themselves even though they may know their multiplication and division tables. Remember, it's quite okay if they are doubtful . The use of counting materials will help and overtime they won't need it at all. The visual representations help with developing the child's understanding. 

We have divided and multiplied now what is our next step? 

Have the child recall the rhyme or acronym that was taught to remember the steps.

Subtract

Now we must subtract the 6 written below from the 6 that makes up the dividend. 

     2  
3⟌63  
  -  
   6     
 
   0       notice the zero is written below the 6. 


Lets move on to the next step, which is to compare! 

LOok------- 2  

                3⟌63  
               -  
                   6     
  
                                  0       let's compare, look at the problem, is all the numbers dealt with in the dividend? Are there any excess or remainders from the first number of the dividend?

HINT: remember to always use the correct terminology when teaching maths, and always have the child use the correct mathematics terms as well. 


Now that we have compared and we are sure that nothing can be further worked out with the first number of the dividend, it is safe to move on to the final step! 

Bring Down! 

     2  
3⟌63  
  -  
   6     

   0      look at the problem what do we need to bring down? 

If you said the second number of the dividend then you are right!

remember to always motivate your learner, by giving positive feedback and positive comments when doing math. We are trying to make the child good at math so we need to make it the least stressful. A little positivity can motivate the child enough to succeed  


We are bringing down the 3, so let's do that. 

                        2  
                    3⟌63  
                    -  
                       6     
 
                      0   
                        3------notice that the 3 is written directly below the 3 above, because it is the same 3, just that we bought it down to work with it. 

So you completed ALL the steps right? 

you ain't finished yet, hold up! 😲😏😅

And this is where you start all over, now you understand the name LONG division 😵😍

In order to complete the problem you must work through the steps as shown about with the second number of the dividend. 

GO AHEAD! 

Recall the steps in order

Line up numbers accurately 

Place numbers just as it was shown above! 

I will be waiting for you at the end! 

done now? 

Assuming that you did not cheat and just click down to the end of this page, your completed problem should look like this........ 

                                             2 1 

                  3⟌63  
                 -  
                    6     
 
                    0     

                              3

                -

                      3 

                      0      

Try a few more problems like these! Remember practice makes perfect! Ensure that the child practices several problems like these.

Hug yourself you did a good job today!!

                 See you on our next post! 

Long Division- post 3 out of 5

Long division is the last stage in division, and it is important that your child masters it. This blog has everything you need to help your child succeed! 

I see you've made it back! Hope that you completed the two previous blogs on long division. 

Now that your child has mastered the first two steps, let's move on to step three....

Step Three 

Your child should have already mastered the concept of division. 

Now that you are introducing long division you want to do so in the simplest manner, as you don't want to overwhelm the child. This should be done using 1 digit divisor and a 1 digit dividend. DO NOT INCLUDE NUMBERS WITH ZEROS OR NUMBERS THAT WOULD HAVE REMAINDERS!! 

DON'T

• Don't use problems such as 8 ➗ 56=  or 9  ➗ 45= 

Even though the numbers 8 divides into 56 without a remainder this is still a difficult problem for a child that is now learning long division. Always remember you do not want to complicate things in the beginning. Your main focus at this point is the teach the child the process, and the best and most effective way is to present it in the simplest form. Do not worry you will get to increase the complexity over time and provide a challenge to the child, however let's focus on process and concepts first. Hence, we said one digit numbers divided by an one digit number.

• Do not use zeros in your problems yet!

For the same reasons as mentioned above, we don't want to complicate things. The use of zeros in problems is another skill in long division that would be taught later on. Fret not! Your blogger is here to save the day and ensure you don't make any mistakes in teaching that would affect your child's learning. 

Now that the don'ts are out of the way lets move on!!! 

Let's introduce long division in the simplest form. 

First let's show the way in which a long division problem is represented. 

                Example:     2⟌4

Using this same example let's continue. 

Have the child recall the steps in the correct order, for solving long division problems.

That is:

1. Divide 

2. Multiply

3. Subtract

4. Compare

5. Bring Down 

Remember to  recall each step as you perform it! You can ask the child to state the next step. 

• So first we divide and say 4 divided by two is?  Be sure to point the numbers in the order that you read it to the child. The child should know their division tables. So you should write the four in the space above. 

                          2   ←←notice where the quotient is placed 

Example:  2 ⟌4

What's the next step? Multiply! 

What are we multiplying? 

See that number two that i wrote above the long division sign? That's what you will multiply!

You now multiply that number (quotient) by the divisor 2. 

                           2    

Example:  2 ⟌4

                4 ←←  notice where this product of the quotient and the divisor is placed. 

Ask the child- What's the next step? Subtract  

What are we subtracting ? 

We now subtract the 4 from the dividend 4! 

     

                          2    

Example:  2 ⟌4

            - 4 

             ⎯⎯⎯

              0     notice the subtraction symbol is written and the line drawn with the difference written under. 

So, what's the next step? Compare 

What are we comparing? 

You compare by checking to make sure that nothing else can be further divided. 

Ask yourself  can  0 be divided into 2

Check to make sure your numbers are accurate. 

What's the next step? Bring down! 

What are we bringing down? 

There is now further number to bring down as we divided one digit by one digit.... in future problems we will see the way in which the bring down step occurs in long division. 

  

Remember practise makes perfect, so have your child practise dome more long division problems 

involving 1 digit by 1 digit numbers. Be sure to have the child repeat the steps! Repetition is key!! 

Long Division- post 2 out of 5

Long Division- post 1 out of 5

All you need to know for parents and guardians!! 

For many persons long division is tedious, even for me as a child growing up I despised long division. It was only until I began my Mathematics Elective course and did other Mathematics teaching courses during my bachelor of education degree, I realised how much I was robbed of as a child in primary school. Long division could have been so much more fun, if only my teacher or parents used the methods I was introduced to during my teacher training. 

Always remember math can be fun! It all depends on the teacher!

During the course of my next four blogs we will be exploring long division. We will look at ways in which we can teach long division to our kids at home, the process of teaching long division, and websites that can aid in improving your child's long division skills.

This blog is intended for parents and guardians who are interested in improving their child's mathematics performance! 

   

together we can help your child climb that mathematics ladder!! 

Here is a fun way to remember the multiplication tables.
https://www.youtube.com/watch?v=RLBnSisLS3I