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1. Lesson 1
Dividing Whole
Numbers by Decimals
Up to Two Decimal
Places and Vice Versa

2. Objectives
At the end of this lesson, the learner should be able to
● accurately illustrate the division of whole numbers
by decimal numbers through long division;
● correctly divide whole numbers by decimals up to 2
decimal places and vice versa; and
● correctly solve word problems involving division of
whole numbers by decimal numbers.

3. Essential Questions
● How will you divide whole numbers by decimal
numbers and vice versa?
● How will you apply your previous knowledge about
subtracting, multiplying and dividing whole numbers in
dividing whole numbers by decimals and vice versa?

4. Warm Up!
Before we learn how to divide whole numbers by decimal
numbers, let us recall the steps in dividing whole numbers by
working as a class on the following short online exercise!
(Click on the link to access the exercise.)
“Divide whole numbers - 2-digit Divisors”. IXL Learning, Inc.
[US]. Retrieved 19 March 2019 from https://bit.ly/2fDq82p

5. Guide Questions
● How do you divide whole numbers?
● How will this skill help us in dividing decimals by whole
numbers and vice versa?

6. Learn about It!
Dividing Whole Numbers by Decimal Numbers
To divide a whole number by a decimal number, arrange them in long division
form, move the decimal point of the dividend and the divisor the same number of
decimal places in the divisor, then divide.
1
Example:
To divide 10 by 0.5, follow these steps:

7. Learn about It!
1. Move the decimal point of the divisor one place value
to the right so that it becomes a whole number. Move
the decimal point of the dividend as many times to
the right as the decimal point in the divisor has been
moved.
Dividing Whole Numbers by Decimal Numbers
To divide a whole number by a decimal number, arrange them in long division
form, move the decimal point of the dividend and the divisor the same number of
decimal places in the divisor, then divide.
1

8. Learn about It!
2. Align the decimal point of the quotient with the
decimal point of the dividend.
Dividing Whole Numbers by Decimal Numbers
To divide a whole number by a decimal number, arrange them in long division
form, move the decimal point of the dividend and the divisor the same number of
decimal places in the divisor, then divide.
1

9. Learn about It!
3. Divide.
Dividing Whole Numbers by Decimal Numbers
To divide a whole number by a decimal number, arrange them in long division
form, move the decimal point of the dividend and the divisor the same number of
decimal places in the divisor, then divide.
1

10. Learn about It!
Therefore, 𝟏𝟎 ÷ 𝟎. 𝟓 = 𝟐𝟎.
Dividing Whole Numbers by Decimal Numbers
To divide a whole number by a decimal number, arrange them in long division
form, move the decimal point of the dividend and the divisor the same number of
decimal places in the divisor, then divide.
1

11. Try It!
Example 1: Find the quotient when 25 is divided by 0.5.

12. Try It!
Example 1: Find the quotient when 25 is divided by 0.5.
Solution:
1. Move the decimal point of the divisor once to the right so
that it becomes a whole number. Move the decimal point
of the dividend as many times to the right as the decimal
point in the divisor has been moved.

13. Try It!
Example 1: Find the quotient when 25 is divided by 0.5.
Solution:
2. Align the decimal point of the quotient with the decimal
point of the dividend.

14. Try It!
Example 1: Find the quotient when 25 is divided by 0.5.
Solution:
3. Divide.

15. Try It!
Example 1: Find the quotient when 25 is divided by 0.5.
Solution:
Therefore, the quotient of 25 and 0.5 is 𝟓𝟎.

16. Try It!
Example 2: Divide 0.3 and 15.

17. Try It!
Example 2: Divide 0.3 and 15.
Solution:
1. Set up the long division process.

18. Try It!
Example 2: Divide 0.3 and 15.
Solution:
2. Since the divisor is already a whole number, proceed to
division. Align the decimal point of the quotient with the
decimal point of the dividend.

19. Try It!
Example 2: Divide 0.3 and 15.
Solution:
3. Divide.

20. Try It!
Example 2: Divide 0.3 and 15.
Solution:
Since, there is no more digit in the dividend, continue to add
zero.

21. Try It!
Example 2: Divide 0.3 and 15.
Solution:
Therefore, the quotient of 0.3 and 15 is 𝟎. 𝟎𝟐.

22. Let’s Practice!
Individual Practice:
1. Find the quotient when 875 is divided by 0.35.
2. Miguel bought a cellphone worth ₱18 250.75. How much
will he pay every month if he needs to pay an equal
amount for five months?

23. Let’s Practice!
Group Practice: To be done in groups of four to five
members
A paper which measures 8.5 inches by 13 inches is to be
divided equally into four parts. Find the area of each piece of
paper. Note that the area of a rectangle is the product of its
length and width.

24. Key Points
2
1 Dividing Whole Numbers by Decimal Numbers
To divide a whole number by a decimal number, arrange them in long division
form, move the decimal point of the dividend and the divisor the same number of
decimal places in the divisor, then divide.

25. Synthesis
● How do you divide whole numbers by decimal numbers
and vice versa?
● How can you apply the concept of dividing whole numbers
by decimal numbers and vice versa in your daily life as a
student?
● You have learned how to divide decimal numbers by
whole numbers and vice versa. What if we divide both
decimal numbers this time? Do you think it follows the
same process?