Sure! Let's start with the basics of division and go step by step.

What is Division?

Division is the process of splitting a number into equal parts. It answers the question: How many times does one number fit into another?

• The Divisor: The number you divide by.
• The Dividend: The number you are dividing.
• The Quotient: The result of the division.

For example:

• If you divide 12 by 3, you are asking how many times 3 fits into 12.
• The dividend is 12, the divisor is 3, and the quotient is 4.

So, $12 \div 3 = 4$.

Steps for Basic Division

1. Set Up the Division Problem:

   • Write the dividend (the number to be divided) inside the division box (or use long division).
   • Write the divisor (the number you're dividing by) outside the box.

   Example: $12 \div 3$

2. Divide the First Digit:

   • Start with the first digit of the dividend. In our example, the first digit of 12 is 1.
   • Ask, "How many times does 3 go into 1?" It doesn't, because 3 is larger than 1. So, we move to the next digit (making it 12).

3. Divide the Whole Number:

   • Now we ask, "How many times does 3 go into 12?" It goes 4 times because $3 \times 4 = 12$.

4. Write the Quotient:

   • The answer to $12 \div 3$ is 4. This is the quotient.

5. Check the Remainder:

   • After dividing, there is no leftover in this case (since 12 divided by 3 gives exactly 4). If there was a remainder, you would write it as a remainder, or convert it into a decimal.

Example of a Division Problem:

Let's divide 25 by 5.

1. Write 25 inside the box and 5 outside the box.
2. Ask, "How many times does 5 go into 2?" It doesn't, so we look at the whole number 25.
3. "How many times does 5 go into 25?" It goes 5 times because $5 \times 5 = 25$.
4. The quotient is 5, with no remainder.

So, $25 \div 5 = 5$.

Key Tips for Learning Division:

• Practice with smaller numbers first and gradually move to larger numbers.
• Repetition helps in memorizing the division tables (like how 3 goes into 12, 18, 24, etc.).
• Check your work by multiplying the quotient by the divisor. If the product equals the dividend, you've got it right!

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Do you need more examples or practice problems? Let me know if you'd like any further details!

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Here are a few related questions to help deepen understanding:

1. How do you divide numbers with remainders?
2. What is the difference between division and multiplication?
3. How do you divide decimals?
4. Can you explain the long division method with larger numbers?
5. What are some real-world situations where division is useful?

Tip: Always start by estimating. It helps you guess the quotient and makes division easier.