long division 2 digit divisor 2-digit dividend 3√8643

To perform long division with a 2-digit divisor (in this case, 3) and a 4-digit dividend (8643), we'll follow these steps:

### Step-by-Step Long Division

**Problem:** \( 3 \div 8643 \)

1. **Divide the first digit (or group) of the dividend:**
   - The divisor is 3, and the first digit of the dividend (8) is larger than 3.
   - How many times does 3 go into 8? It goes 2 times. Write 2 above the 8.
   - Multiply 3 by 2, which gives 6.
   - Subtract 6 from 8, leaving a remainder of 2.

2. **Bring down the next digit (6):**
   - Now, bring down the 6 next to the remainder (2), making it 26.
   - How many times does 3 go into 26? It goes 8 times. Write 8 above the 6.
   - Multiply 3 by 8, which gives 24.
   - Subtract 24 from 26, leaving a remainder of 2.

3. **Bring down the next digit (4):**
   - Bring down the 4 next to the remainder (2), making it 24.
   - How many times does 3 go into 24? It goes exactly 8 times. Write 8 above the 4.
   - Multiply 3 by 8, which gives 24.
   - Subtract 24 from 24, leaving a remainder of 0.

4. **Bring down the last digit (3):**
   - Bring down the 3 next to the remainder (0), making it 3.
   - How many times does 3 go into 3? It goes 1 time. Write 1 above the 3.
   - Multiply 3 by 1, which gives 3.
   - Subtract 3 from 3, leaving a remainder of 0.

### Final Answer
So, \( 8643 \div 3 = 2881 \) with a remainder of 0.

Would you like more details or have any other questions?

Here are 5 related questions that could expand on this topic:

1. How do you perform long division with a larger dividend, such as 5 or 6 digits?
2. How can you check your answer after performing long division?
3. What happens if the divisor is larger than the first digit of the dividend?
4. How do you handle long division when the divisor is a 3-digit number?
5. What are the steps to divide decimals using long division?

**Tip:** Always line up your digits carefully when performing long division to avoid mistakes.

Learn how to solve the long division of 8643 by 3 in a step-by-step process. This example walks through dividing a 4-digit number by a 2-digit divisor, resulting in a quotient of 2881. Suitable for students in Grades 4-6.

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