Lesson 9: Division - 1

For Grade 5 Students (Ages 10-11) - Let's learn to share equally!

What we will learn today:

In this lesson, you will learn to:

  • Understand division as equal sharing and repeated subtraction.
  • Divide numbers by a single-digit number (without remainder).
  • Divide numbers by $10, 100,$ and $1000$.
  • Solve simple word problems involving division.

Introduction to Division

Hello, young mathematicians! We've learned about addition, subtraction, and multiplication. Today, we'll explore division, which is about splitting a number into equal groups or finding out how many times one number fits into another.

Think about sharing candies equally among your friends. Division helps us do that! It's also the opposite of multiplication.

Let's learn how to divide numbers and solve problems.

Division by Single-Digit Numbers (without remainder)

To divide a number by a single-digit number, we use our knowledge of multiplication tables. We share the digits from left to right.

Example 1: Divide $48$ by $4$.

    12
   ___
4 | 48
    -4
    ---
     08
     -8
     ---
      0

Here:
1. How many $4$s are in $4$? One $4$. Write $1$ above $4$. ($1 \times 4 = 4$). Subtract $4$ from $4$, remainder is $0$.
2. Bring down $8$. Now we have $8$. How many $4$s are in $8$? Two $4$s. Write $2$ above $8$. ($2 \times 4 = 8$). Subtract $8$ from $8$, remainder is $0$.
So, $48 \div 4 = 12$.

Example 2: Divide $639$ by $3$.

    213
   ____
3 | 639
    -6
    ---
     03
     -3
     ---
      09
      -9
      ---
       0

So, $639 \div 3 = 213$.

Exercise 1: Divide the following numbers (without remainder).

$63 \div 3 = \underline{\hspace{2cm}}$

$84 \div 4 = \underline{\hspace{2cm}}$

$505 \div 5 = \underline{\hspace{2cm}}$

$936 \div 3 = \underline{\hspace{2cm}}$

Division by $10, 100,$ and $1000$

Dividing by $10, 100,$ or $1000$ is also very easy! You just remove zeros from the end of the number.

Rule:

  • To divide by $10$, remove one zero ($0$) from the end of the number.
  • To divide by $100$, remove two zeros ($00$) from the end of the number.
  • To divide by $1000$, remove three zeros ($000$) from the end of the number.

Examples:

  • $250 \div 10 = 25$
  • $700 \div 100 = 7$
  • $12000 \div 1000 = 12$

Exercise 2: Divide the following numbers.

$580 \div 10 = \underline{\hspace{2cm}}$

$900 \div 100 = \underline{\hspace{2cm}}$

$34000 \div 1000 = \underline{\hspace{2cm}}$

$1200 \div 10 = \underline{\hspace{2cm}}$

Problem Solving with Division

Let's apply division to solve everyday problems.

Exercise 3: Solve the following word problems.

  1. You have $36$ cookies and want to share them equally among $4$ friends. How many cookies does each friend get?

  2. A gardener has $150$ flowers to plant in $5$ equal rows. How many flowers will be in each row?

  3. A box of chocolates contains $100$ chocolates. If $10$ children share them equally, how many chocolates does each child get?

Answers to Practice Time

Let's check your answers!

  1. Exercise 1: Division by Single-Digit Numbers

    • $63 \div 3 = 21$
    • $84 \div 4 = 21$
    • $505 \div 5 = 101$
    • $936 \div 3 = 312$

  2. Exercise 2: Division by $10, 100,$ and $1000$

    • $580 \div 10 = 58$
    • $900 \div 100 = 9$
    • $34000 \div 1000 = 34$
    • $1200 \div 10 = 120$

  3. Exercise 3: Problem Solving with Division

    • Each friend gets $36 \div 4 = 9$ cookies.
    • There will be $150 \div 5 = 30$ flowers in each row.
    • Each child gets $100 \div 10 = 10$ chocolates.

You've completed Lesson 9!

Great job, Math Lanka students! You've learned the basics of division and how to apply it. Keep practicing, and you'll become a division expert!

Next Lesson
Previous Lesson Next Lesson