Mastering divisions | Fundamental of maths – Lecture 5| vedic Maths|Long division method

 Notes – Mastering Division

🔹 1. Understanding Division

• Definition: Division is splitting a number into equal parts.

• Symbol: ÷ or /

• Example: 12 ÷ 3 = 4 → 12 is divided into 3 equal groups, each with 4.

Keywords:

• Dividend → Number to be divided (e.g., 12)

• Divisor → Number you divide by (e.g., 3)

• Quotient → Result of division (e.g., 4)

• Remainder → What’s left (if not exact)

🔹 2. Division Facts

• Division is the opposite of multiplication.

  • Example: 5 × 6 = 30 → 30 ÷ 5 = 6 and 30 ÷ 6 = 5

• Tip: Memorize multiplication tables to divide faster.

🔹 3. Short Division

Steps:

1. Divide each digit from left to right.

2. Carry remainders forward.

3. Write the quotient above the dividend.

Example:
84 ÷ 4
→ 8 ÷ 4 = 2
→ Bring down 4 → 4 ÷ 4 = 1
✅ Answer: 21

🔹 4. Long Division

Steps:

1. Divide the first digit(s).

2. Multiply and subtract.

3. Bring down the next digit.

4. Repeat until no digits remain.

Example:
156 ÷ 12
12 × 13 = 156 → Quotient = 13

🔹 5. Division with Remainders

If division doesn’t go evenly, write what’s left as a remainder.
Example: 17 ÷ 5 = 3 R2 (since 5 × 3 = 15, remainder 2)

🔹 6. Word Problems

Steps to Solve:

1. Read the question carefully.

2. Identify total (dividend) and groups (divisor).

3. Perform the division.

4. Interpret remainder if needed.

Example:
20 apples divided among 6 students → Each gets 3 apples, 2 remain.

🔹 7. Tricks to Divide Faster

• Use estimation to guess quotients quickly.

• Check with multiplication: Quotient × Divisor + Remainder = Dividend.

• For powers of 10 → just move the decimal.

  • Example: 420 ÷ 10 = 42

🔹 8. Practice Time

• 48 ÷ 8 = ?

• 96 ÷ 6 = ?

• 35 ÷ 4 = ?

• 225 ÷ 15 = ?

• A baker made 72 cookies and packed them in 9 boxes. How many in each?

✨ Summary

Division means sharing equally.
Learn short and long division, practice regularly, and check using multiplication.
With tricks and practice, dividing any number becomes quick and easy!