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Division Facts

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Arithmetic is most elementary branch of mathematics. In arithmetic, the students learn about numbers and various operations on them. There are 4 basic arithmetic operations - addition, subtraction, multiplication and division. The division is defined as a process of measuring how many number of times a number is contained in another.

The facts related to division are known as division facts. They are explained through "times tables" which are multiplication tables, since division is the reverse process of multiplication. A times table represents the outcomes when a number is added to itself some number of times, as multiplication is the successive addition. 
On the successful completion of this lesson, the students will be able to learn about :

(1) Role of times tables in division.


(2) Terms related to division.

(3) Division fact for number $10$.

(4) Chart for division.

Division Terms

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Do you known what the terms related to division called ? Let's discuss them here.

1) Dividend: The number that is being divided is called dividend.

2) Divisor: The number that divides the dividend is called divisor.

3) Quotient: The number of times the divisor divides the dividend is called quotient. It is the answer of the division process.

4) Reminder: The number that remains at the end, is called remainder. It is obtained when a number (dividend) is not completely divided by another (divisor).
Let us understand this with the help of following example.

$\frac{49474}{7}$ = $7067\ R\ 5$

Where,

$7$ = Divisor

$49474$ = Dividend

$7067$ = Quotient

$5$ = Remainder of the division

Division Facts to 10

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The division fact to $10$ is listed in the below table;

$10\div 10$  $1$ 
$20\div 10$  $2$ 
$30\div 10$  $3$ 
$40\div 10$  $4$ 
$50\div 10$  $5$ 
$60\div 10$  $6$ 
$70\div 10$  $7$ 
$80\div 10$  $8$ 
$90\div 10$  $9$ 
$100\div 10$  $10$ 
$110\div 10$  $11$ 
$120\div 10$  $12$ 

The above table shows the division fact of $10$ which is nothing but the number which received by dividing any number by $10$.
What do you conclude by the above table ? Yes, you conclude if a number has zero at ones place, then the number will be divisible by 10.
Example:

There are $150$ candies divided into $10$ children. How many candies will each child have ?

Solution: 

This can be solve by division fact $10$

Total candies = $150$

Total children = $10$

Using division fact $10$

$150 \div 10 = 15$

Hence each child will have $15$ candies.

Division Facts Chart

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The chart of the division fact is shows in the below table.

Division Table

These charts demonstrating division facts conclude that -

(1)
When zero is divided by any number, we obtain zero as a result.

(2)
 When a number is divided by one, the result is that number itself.

(3)
 If multiplication of two numbers gives another number, then that number is divisible by both the numbers. Have a look at following diagram in order to understand this more clearly.

Example on Division

Examples

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Few examples based on division facts are given below.
Example 1 : 

Show $14\ \div\ 3$ by actual division. Indicate division terms for this division.

Solution :


Step 1 :
 Actual Division

The division of $14$ by $3$ is demonstrated in the following diagram:

Division Chart Example

Step 2 : Division Terms

Dividend = Number that is being divided = $14$

Divisor = Number that divides = $3$

Quotient = Answer of division = $4$

Remainder = Number that remains = $2$
Example 2 : 

Without actual division, determine which of the following numbers are exactly divisible by $10 $?

$350,\ 345709500,\ 3483,\ 32347,\ 230,\ 84580,\ 24593,\ 474220$

Solution :
 

The numbers having $0$ at the end, i.e. at ones place are said to be exactly divisible by $10$.

So among the given list, $350,\ 345709500,\ 230,\ 84580$ and $474220$ are divisible by $10$; while  $3483,\ 32347$ and $24593$ are not divisible.