Let's solve \( 242 \div 13 \) using long division.

### Step-by-step solution:
1. **Divide 24 by 13**:  
   \( 13 \) goes into \( 24 \) **1** time, since \( 13 \times 1 = 13 \).

2. **Subtract**:  
   \( 24 - 13 = 11 \).  
   Now, bring down the next digit, which is **2** from \( 242 \), making it \( 112 \).

3. **Divide 112 by 13**:  
   \( 13 \) goes into \( 112 \) **8** times, since \( 13 \times 8 = 104 \).

4. **Subtract**:  
   \( 112 - 104 = 8 \).

So, \( 242 \div 13 = 18 \) with a remainder of **8**.

In mixed fraction form, the answer is \( 18 \frac{8}{13} \).

Would you like more details, or have any questions?

---

Here are some related questions:
1. How would you convert \( 18 \frac{8}{13} \) into a decimal?
2. How does the remainder method differ from division with decimals?
3. Can you apply long division to larger numbers, such as \( 485 \div 13 \)?
4. How do you check the correctness of long division?
5. What are some real-life applications of long division?

**Tip**: Always double-check the multiplication step to ensure accuracy in long division.

Learn how to solve 242 ÷ 13 using long division with a detailed step-by-step explanation. Understand the process of dividing, subtracting, and finding the remainder, resulting in 18 with a remainder of 8. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation