Facts about Division

We have already learned division by repeated subtraction, equal sharing/distribution and by short division method. Now, we will read some facts about division to learn long division.

1. If the dividend is ‘zero’ then any number as a divisor will give the quotient as ‘zero’. 

Example: If ‘zero’ sweets are to be distributed among 8 children, naturally no one will get any sweets. 


2. If the divisor is ‘1’ then any dividend will have the quotient equal to itself. 

Example: There are 15 sweets; each child is to get 1 sweet. How many children get the sweets?


3. The product of the divisor and the quotient added to the remainder is always equal to the dividend.

(Divisor × Quotient) + Remainder = Dividend.

(d × q) + r = D

Note: Always find the product first and then add the remainder. (This helps us to check whether the division is done correct or not.)

Example: Divide 23 by 7

Division Facts

Checking:

(d × q) + r = D

(7 × 3) + 2 = 23

21 + 2 = 23

23 = 23

So, the division is correct.


4. In a division sum the remainder is always smaller than the divisor.

Example:

In the last example clearly we can see that the remainder (2) is less than the divisor (7).


5. Every divisor fact has two multiplication facts to verify it.

Example:

In division, 12 ÷ 6 = 2, two multiplication facts are 2 × 6 = 12 and 6 × 2 = 12.


6. The quotient and the divisor are always the factors of the dividend, if there is no remainder.

Example:

D

18

3


÷

×

d

3

6


=

=

q

6

18


7. The dividend is always a multiple of the quotient and divisor, if there is no remainder.

Example:

D

30

5

6


÷

×

×

d

5

6

5


=

=

=

q

6

30

30


Let us have a quick review of what we have learnt about division. Division is splitting into equal parts or groups. It is the result of “fair sharing”.

If 5 friends want to share 15 chocolates. How many chocolates will each of them get? Let us divide the chocolates equally amongst them.

Division Fact

15 divided by 5 is 3. They get 3 each.






3rd Grade Math Lessons

From Facts about Division to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Adding 5-digit Numbers with Regrouping | 5-digit Addition |Addition

    Mar 18, 24 02:31 PM

    Adding 5-digit Numbers with Regrouping
    We will learn adding 5-digit numbers with regrouping. We have learnt the addition of 4-digit numbers with regrouping and now in the same way we will do addition of 5-digit numbers with regrouping. We…

    Read More

  2. Adding 4-digit Numbers with Regrouping | 4-digit Addition |Addition

    Mar 18, 24 12:19 PM

    Adding 4-digit Numbers with Regrouping
    We will learn adding 4-digit numbers with regrouping. Addition of 4-digit numbers can be done in the same way as we do addition of smaller numbers. We first arrange the numbers one below the other in…

    Read More

  3. Worksheet on Adding 4-digit Numbers without Regrouping | Answers |Math

    Mar 16, 24 05:02 PM

    Missing Digits in Addition
    In worksheet on adding 4-digit numbers without regrouping we will solve the addition of 4-digit numbers without regrouping or without carrying, 4-digit vertical addition, arrange in columns and add an…

    Read More

  4. Adding 4-digit Numbers without Regrouping | 4-digit Addition |Addition

    Mar 15, 24 04:52 PM

    Adding 4-digit Numbers without Regrouping
    We will learn adding 4-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then add the digits under each column as shown in the following exa…

    Read More

  5. Addition of Three 3-Digit Numbers | With and With out Regrouping |Math

    Mar 15, 24 04:33 PM

    Addition of Three 3-Digit Numbers Without Regrouping
    Without regrouping: Adding three 3-digit numbers is same as adding two 3-digit numbers.

    Read More