https://file.aiquickdraw.com/mathbot/file/1726629147024uj4jpeg8.jpg

The image contains two long division problems. Let's check each one for correctness:

### First Division: \( 966 \div 21 \)
1. The first step divides 96 by 21, yielding a quotient of 4 (since \( 21 \times 4 = 84 \)).
2. Subtracting \( 84 \) from \( 96 \) gives \( 12 \), and the next digit (6) is brought down, making it \( 126 \).
3. Now divide \( 126 \div 21 \), which equals 6 (since \( 21 \times 6 = 126 \)).
4. Subtracting \( 126 \) from \( 126 \) gives \( 0 \), with no remainder.

Thus, \( 966 \div 21 = 46 \). The result is correct.

### Second Division: \( 897 \div 23 \)
1. The first step divides 89 by 23, yielding a quotient of 3 (since \( 23 \times 3 = 69 \)).
2. Subtracting \( 69 \) from \( 89 \) gives \( 20 \), and the next digit (7) is brought down, making it \( 207 \).
3. Now divide \( 207 \div 23 \), which equals 9 (since \( 23 \times 9 = 207 \)).
4. Subtracting \( 207 \) from \( 207 \) gives \( 0 \), with a remainder of 6.

Thus, \( 897 \div 23 = 39 \) with a remainder of \( 6 \). This result is also correct.

### Conclusion:
Both division problems are correct. Let me know if you would like further clarifications or details.

Here are five related questions:
1. How can long division be used to estimate decimal values?
2. What is the relationship between division and multiplication in these examples?
3. How do you handle remainders when dividing large numbers?
4. Can you simplify division when one of the numbers is a prime number?
5. What are some other methods to verify the result of a long division?

**Tip:** Always double-check long division steps by multiplying the quotient by the divisor and adding the remainder, if any, to ensure the result matches the original dividend.

Check if the long division of 966 ÷ 21 and 897 ÷ 23 is correct.

This page explains the correctness of the long division problems 966 ÷ 21 = 46 and 897 ÷ 23 = 39 with a remainder of 6. It demonstrates step-by-step calculations, using basic division rules and how to handle remainders. Suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation