Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2343 \div 11 = 213 \)
Solution
To divide \( 2343 \) by \( 11 \), you can use long division. Here's a step-by-step breakdown:
```
213
______
11 | 2343
-22 (11 × 2 = 22)
----
14
-11 (11 × 1 = 11)
----
33
-33 (11 × 3 = 33)
----
0
```
**Step-by-Step Explanation:**
1. **Divide the first two digits:**
- **23 ÷ 11 = 2** with a remainder of **1** (since \( 11 \times 2 = 22 \)).
2. **Bring down the next digit (4) to make it 14:**
- **14 ÷ 11 = 1** with a remainder of **3** (since \( 11 \times 1 = 11 \)).
3. **Bring down the last digit (3) to make it 33:**
- **33 ÷ 11 = 3** with a remainder of **0** (since \( 11 \times 3 = 33 \)).
**Final Answer:**
\[
2343 \div 11 = 213
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
When you divide \( 2343 \) by \( 11 \), you’ll find that it equals \( 213 \). Dividing by \( 11 \) can be a fun exercise in figuring out multiples—just think of some numbers that add up to close to \( 2343 \) and how they relate to your divisor! One cool way to check your work is to multiply the result back by the divisor. So, if you take \( 213 \) and multiply it by \( 11 \), you'll get back to \( 2343 \)! This technique not only validates your answer but also reinforces your understanding of division and multiplication as inverse operations.
