Learning division step by step involves understanding the concept, the language used in division, and practicing different strategies. Here's a clear, step-by-step guide to help you learn division:

Step 1: Understanding Division

Division is the process of splitting a number (called the dividend) into equal parts. It's the opposite of multiplication.

• Example: If you have 12 cookies and you want to divide them equally among 3 people, each person gets 4 cookies. This is written as: $12 \div 3 = 4$
  • Dividend: The number being divided (12).
  • Divisor: The number you are dividing by (3).
  • Quotient: The result (4).

Step 2: Relating Division to Multiplication

Since division is the opposite of multiplication, it's helpful to connect division problems with multiplication facts you already know. For example:

• $12 \div 3 = 4$ because $3 \times 4 = 12$.

When dividing, think of what number you multiply by the divisor to get the dividend.

Step 3: Division Facts

Learn your multiplication tables (also called times tables), as division is based on them. If you know that:

• $3 \times 4 = 12$,
• then $12 \div 3 = 4$.

Practice these division facts, starting with easier ones:

• 10 ÷ 2 = 5
• 15 ÷ 3 = 5
• 20 ÷ 4 = 5

Step 4: Long Division (For Larger Numbers)

For more complex problems, such as dividing larger numbers, you use long division. Here’s how to break down a long division problem like $736 \div 4$:

1. Step 1: Divide the first digit (7 divided by 4). 4 goes into 7 once. Write 1 above the 7.

2. Step 2: Multiply: Multiply 1 by 4 to get 4. Write that below 7.

3. Step 3: Subtract: Subtract 4 from 7 to get 3. Now, bring down the next digit (3).

4. Step 4: Divide the new number (33 divided by 4). 4 goes into 33 eight times. Write 8 above the 3.

5. Step 5: Multiply: Multiply 8 by 4 to get 32. Write that below 33.

6. Step 6: Subtract: Subtract 32 from 33 to get 1. Now, bring down the last digit (6).

7. Step 7: Divide the new number (16 divided by 4). 4 goes into 16 four times. Write 4 above the 6.

8. Step 8: Multiply and subtract: Multiply 4 by 4 to get 16. Subtract 16 from 16, which equals 0.

So, the final result is: $736 \div 4 = 184$

Step 5: Practice!

Once you’ve understood these concepts, practice with different problems, starting with simple ones and gradually working your way up to more complex division problems.

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Do you want more detailed explanations or examples on any of these steps?

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Further Questions for Practice:

1. How do you divide numbers like 48 ÷ 6 using multiplication facts?
2. Can you explain how long division works with two-digit divisors, such as 64 ÷ 8?
3. How can we divide fractions, and how is it different from dividing whole numbers?
4. What are some tips to improve accuracy with long division?
5. What are some word problems that involve division and how would you solve them?

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Tip: When dividing large numbers, break them into smaller, manageable parts. Divide step-by-step instead of trying to do everything at once!