Division concept:

Division is one of the four basic arithmetic operations. It involves splitting a number (called the dividend) into equal parts, each containing a specified quantity (divisor). The result is called the quotient. In simple terms, division answers the question,

Division Facts:

Division as the Opposite of Multiplication: Division "undoes" multiplication. For instance, since 6×2=12, it follows that 12÷2=6.

Division by 1: Any number divided by 1 remains the same (e.g., 5 ÷ 1 = 5).

Division by Itself: Any number divided by itself is 1 (e.g., 8 ÷ 8 = 1), as long as the number is not zero.

Division by 0: Division by 0 is undefined, as it doesn’t result in a meaningful answer.

Example 1:

Divide 936 ÷ 4

Solution:

Step 1: Divide the hundreds place

• 9 ÷ 4 = 2

• 2 × 4 = 8

• 9 − 8 = 1

Step 2: Bring down the next digit (3)

• Now we have 13

• 13 ÷ 4 = 3

• 3 × 4 = 12

• 13 − 12 = 1

Step 3: Bring down the last digit (6)

• Now we have 16

• 16 ÷ 4 = 4

• 4 × 4 = 16

• 16 − 16 = 0

Answer:

936 ÷ 4 = 234

Example 2:

Divide 8 ÷ 4.

Solution:

1. Divide the first digit ($9$) by 4: 9 ÷ 4 = 2 (remainder 1).  Write in the quotient.
2. Bring down the next digit ($6$) to make 6 ÷ 4 = 4. Write in the quotient.
3. Bring down the next digit ($4$): 4÷4=1. Write in the quotient.
4. Bring down the last digit (8): 8÷4=2. Write in the quotient.

Answer: 9,648 ÷ 4 = 2,412

Why do you need to learn?

Dividing by 4 helps students understand equal sharing and grouping, essential for everyday problem-solving. These skills are crucial for understanding fractions, ratios, and more complex math concepts. Mastering division enhances logical reasoning and builds a foundation for advanced arithmetic operations.

By practicing division, you can solve real-world problems quickly!