# LEARNING LONG DIVISION - MADE EASY, SOLVED EXAMPLES, EXERCISES

Learn/Teach
Division through Fun Games
before Learning Long Division,

For details, see near

Division Problems,
if you have not already done so.

There, we studied problems on
long division by a single digit number.

Here, we extend that study by solving
Long Division of a Five digit number
by a single digit number. We also
introduce long division by two digit
numbers.

### Example 1 on Learning Long Division

Divide 79865 by 8.

Solution to Example 1 on Learning Long Division :

Step1 :
Here first digit of dividend is 7
which is less than the divisor 8.
So we see the first two digits
of the dividend which is 79.
We find how many times 8 divides 79.
We know 9 x 8 = 72. We put 9 in the
right bracket and 72 below 79 of
the dividend.
72 subtracted from 79 gives 7.

```
Dividend
Divisor   8 )   79865   ( 9
72
-----
7

```

Step2:Learning Long Division
We descend the next digit of the
dividend, 8 to the right of 7 to
make it 78. We know 8 divides 78,
nine times. 9 x 8 = 72. We write
9 in the right bracket after 9
and 72 below 78.
72 subtracted from 78 gives 6.

```
Dividend
Divisor   8 )   79865   ( 99
72
-----
78
72
-----
6

```
Step3:Learning Long Division
We descend the next digit of the
dividend, 6 to the right of 6 to
make it 66. We know 8 divides 66,
eight times. 8 x 8 = 64.
(Note that 9 x 8 = 72 exceeds 66.)
We write 8 in the right bracket
after 99 and 64 below 66.
64 subtracted from 66 gives 2.

```
Dividend
Divisor   8 )   79865   ( 998
72
-----
78
72
-----
66
64
-----
2

```

Step4:Learning Long Division
We descend the next (last) digit
of the dividend, 5 to the right
of 2 to make it 25. We know
8 divides 25, three times. 3 x 8 = 24.
(Note that 4 x 8 = 32 exceeds 25.)
We write 3 in the right bracket
after 998 and 24 below 25.
24 subtracted from 25 gives 1
which is the remainder.

```
Dividend
Divisor   8 )   79865   ( 9983   Quotient
72
-----
78
72
-----
66
64
-----
25
24
-----
1   Remainder
-----

```

Thus 79865 ÷ 8 gives quotient
= 9983 and remainder = 1. Ans.

Check :
Verify whether
Dividend = Divisor x Quotient + Remainder
is satisfied or not.

R.H.S. = Divisor x Quotient + Remainder
= 8 x 9983 + 1 = 9983 x 8 + 1

To Find 9983 x 8 :

```      9983
8
------           2 6 7
79864
------
```

R.H.S. = Divisor x Quotient + Remainder
= 8 x 9983 + 1 = 79864 + 1 = 79865
= Dividend = L.H.S. (Verified. )

Here is a collection of proven tips,
tools and techniques to turn you into
a super-achiever - even if you've never
thought of yourself as a "gifted" student.

and remember large chunks of information
with the least amount of effort.

If you apply what you read from the above
collection, you can achieve best grades without
giving up your fun, such as TV, surfing the net,
playing video games or going out with friends!

Know more about the Speed Study System.

## Long Division by two digit numbers

Here we see division of any
number by two digit numbers.

Multiplication Tables
upto 9 times 9,
we need the knowledge of
Multiplication  here.

### Example 2 of Learning Long Division

Divide 983 by 29.

Solution :

Step1: Learning Long Division
Here the divisor is a
two digit number, 29.
So we see the first two digits
of the dividend which is 98.
We have to find how many
times 29 divides 98.

Unlike in the previous sums
where the knowlegde of
Multiplication Tables was
sufficient to decide
how many times the divisor
divides the number,
here we have to calculate
to decide.

We don't remember (not supposed
to remember) 29 table.29 is near 30.
We know 3 x 30 = 90 which is near 98.
(To find 3 x 30, we simply find 3 x 3
and then put a 0 to the right of
the result.) So we try 3 x 29.

Here, we use the knowledge of

```      29
3
---           2
87
---
```

87 is less than 98 by 11 only.
So 4 times 29 is not required.
We have 3 x 29 = 87.
We put 3 in the right bracket and
87 below 98 of the dividend.
87 subtracted from 98 gives 11.

```
Dividend
Divisor   29 )   983   ( 3
87
-----
11

```

Step2: Learning Long Division
We descend the next (last) digit
of the dividend, 3 to the right
of 11 to make it 113.
We know 3 x 29 = 87.
Let us find 4 x 29:

```      29
4
---           3
116
---
```

4 x 29 = 116 exceeds 113.
So 29 divides 113, three times
and 3 x 29 = 87.
We write 3 in the right bracket
after 3 and 87 below 113.
87 subtracted from 113 gives 26
which is the remainder.

```
Dividend
Divisor   29 )   983   ( 33   Quotient
87
-----
113
87
-----
26   Remainder
-----

```

Thus 983 ÷ 29 gives quotient
= 33 and remainder = 26. Ans.

Check :
Verify whether
Dividend = Divisor x Quotient + Remainder
is satisfied or not.

R.H.S. = Divisor x Quotient + Remainder
= 29 x 33 + 26

To Find 29 x 33 :

```      29
33
----           2
87
87
----
957
----
```

R.H.S. = Divisor x Quotient + Remainder
= 29 x 33 + 26 = 957 + 26 = 983
= Dividend = L.H.S. (Verified. )

Great Deals on School & Homeschool Curriculum Books

## Research-based personalized Math Help tutoring program : Learning Long Division

Here is a resource for Solid Foundation in
Math Fundamentals from Middle thru High School.
You can check your self by the

### FREE TRIAL.

Are you spending lot of money for math tutors to your
child and still not satisfied with his/her grades ?

Do you feel that more time from the tutor and
more personalized Math Help to identify and fix
the problems faced by your child will help ?

Here is a fool proof solution I strongly recommend
and that too With a minuscule fraction of the amount
you spent on tutors with unconditional 100% money
back Guarantee, if you are not satisfied.

### SUBSCRIBE, TEST, IF NOT SATISFIED, RETURN FOR FULL REFUND

It is like having an unlimited time from an excellent Tutor.

It is an Internet-based math tutoring software program
that identifies exactly where your child needs help and
then creates a personal instruction plan tailored to your
child’s specific needs.

If your child can use a computer and access
the Internet, he or she can use the program.
And your child can access the program anytime
from any computer with Internet access.

### Unique program to help improve math skills quickly and painlessly.

There is an exclusive, Parent Information Page provides YOU
with detailed reports of your child’s progress so you can
monitor your child’s success and give them encouragement.
These Reports include

• Time spent using the program
• Assessment results
• Personalized remediation curriculum designed for your child
• Details the areas of weakness where your child needs additional help
• Provides the REASONS WHY your child missed a concept
• List of modules accessed and amount of time spent in each module
• Quiz results
• Creates reports that can be printed and used to discuss issues with your child’s teachers
These reports are created and stored in a secure section
of the program, available exclusively to you, the parent.
The section is accessed by a password that YOU create and use.
No unauthorized users can access this information.

### Personalized remediation curriculum designed for your child

Thus The features of this excellent Tutoring program are

• Using detailed testing techniques
• Identifing exactly where a student needs help.
• Its unique, smart system pinpointing precise problem areas -
• slowly and methodically guiding the student
• raising to the necessary levels to fix the problem.

### Not a “one-size-fits-all” approach!

Its research-based results have proven that
it really works for all students! in improving
math skills and a TWO LETTER GRADE INCREASE in
math test scores!,if they invest time in using
the program.

Proven for More than 10,000 U.S. public school
students who increased their math scores.

### Exercise on Learning Long Division

Find the quotient and the remainder
in the following divisions.

1. 987 ÷ 19
2. 1928 ÷ 23
3. 31829 ÷ 47
4. 102460 ÷ 93
5. 5734 ÷ 137

bottom of the page.

### More Problems on Long Division by two or more digit numbers

For more problems on
Learning Long Division by two or
more digit numbers, go to

Long Division by Two
or more digit numbers.

## Progressive Learning of Math : Learning Long Division

Recently, I have found a series of math curricula
(Both Hard Copy and Digital Copy) developed by a Lady Teacher
who taught everyone from Pre-K students to doctoral students
and who is a Ph.D. in Mathematics Education.

This series is very different and advantageous
over many of the traditional books available.
These give students tools that other books do not.
Other books just give practice.
These teach students “tricks” and new ways to think.

These build a student’s new knowledge of concepts
from their existing knowledge.
These provide many pages of practice that gradually
increases in difficulty and provide constant review.

These also provide teachers and parents with lessons
on how to work with the child on the concepts.

The series is low to reasonably priced and include

Elementary Math curriculum

and

Algebra Curriculum.

## Learning/Teaching Math Can Be Fun

Here is a collection of kids math
games and fun math activities for
the class room or for the home, to
make math exciting and easy to learn.

* To save you time and money to be
spent on resources, games and books.

* To become a wonderful, fun teacher
or parent who knows how to make math
fun, interesting and effective.

* To cater for all different ability
levels and cater for different
learning styles.

* To see your kids math skills soar
and their grades in math going
up and up.

This Collection of Fun Math Games
are electronic books (e-books)
in a flash. You can start printing
games right away. You get to print
only what you want and as many
copies as you need.