What Is The Quotient Of The Following Division Problem? 10523 ÷ 498 = ? 10523 \div 498 = ? 10523 ÷ 498 = ? A. 22 R 64 B. 20 R 65 C. 21 R 35 D. 21 R 66

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Introduction

In mathematics, division is a fundamental operation that involves finding the quotient of a given dividend by a divisor. The quotient is the result of the division operation, and it represents the number of times the divisor can be subtracted from the dividend. In this article, we will explore the concept of division and how to find the quotient of a given division problem.

Understanding Division

Division is a mathematical operation that involves finding the quotient of a given dividend by a divisor. The dividend is the number being divided, and the divisor is the number by which we are dividing. The quotient is the result of the division operation, and it represents the number of times the divisor can be subtracted from the dividend.

For example, in the division problem 10523÷498=?10523 \div 498 = ?, the dividend is 10523 and the divisor is 498. To find the quotient, we need to divide the dividend by the divisor.

Finding the Quotient

To find the quotient of a given division problem, we can use the following steps:

  1. Divide the dividend by the divisor using long division or a calculator.
  2. Identify the quotient and the remainder.
  3. Write the quotient and the remainder in the correct format.

For example, in the division problem 10523÷498=?10523 \div 498 = ?, we can use long division to find the quotient.

Long Division

Long division is a mathematical technique used to divide a dividend by a divisor. It involves dividing the dividend into parts and finding the quotient and remainder.

To perform long division, we need to follow these steps:

  1. Write the dividend and the divisor in the correct format.
  2. Divide the first digit of the dividend by the divisor.
  3. Multiply the divisor by the result and subtract the product from the dividend.
  4. Bring down the next digit of the dividend and repeat the process.
  5. Continue the process until we have divided all the digits of the dividend.

Example

Let's use the division problem 10523÷498=?10523 \div 498 = ? as an example.

Step 1: Write the dividend and the divisor in the correct format

| 10523 | | 498 |

Step 2: Divide the first digit of the dividend by the divisor

10523 ÷ 498 = 21

Step 3: Multiply the divisor by the result and subtract the product from the dividend

498 × 21 = 10458 10523 - 10458 = 65

Step 4: Bring down the next digit of the dividend and repeat the process

| 10523 | | 498 | | 65 |

Step 5: Continue the process until we have divided all the digits of the dividend

10523 ÷ 498 = 21 r 65

Conclusion

In conclusion, the quotient of the division problem 10523÷498=?10523 \div 498 = ? is 21 r 65. This means that 498 can be subtracted from 10523 a total of 21 times, with a remainder of 65.

Discussion

The discussion of the quotient of a division problem is an important aspect of mathematics. It helps us understand the concept of division and how to find the quotient of a given division problem.

In this article, we have explored the concept of division and how to find the quotient of a given division problem. We have used the division problem 10523÷498=?10523 \div 498 = ? as an example and have shown how to use long division to find the quotient.

Final Answer

The final answer to the division problem 10523÷498=?10523 \div 498 = ? is 21 r 65.

References

Introduction

In our previous article, we explored the concept of division and how to find the quotient of a given division problem. In this article, we will answer some frequently asked questions (FAQs) about division.

Q&A

Q1: What is the difference between division and multiplication?

A1: Division and multiplication are inverse operations. Division involves finding the quotient of a given dividend by a divisor, while multiplication involves finding the product of two numbers.

Q2: How do I know if a number is divisible by another number?

A2: To determine if a number is divisible by another number, you can use the following steps:

  1. Check if the number is a multiple of the divisor.
  2. Use long division or a calculator to divide the number by the divisor.
  3. If the result is a whole number, then the number is divisible by the divisor.

Q3: What is the remainder in division?

A3: The remainder in division is the amount left over after the divisor has been subtracted from the dividend as many times as possible.

Q4: How do I find the quotient of a division problem with a remainder?

A4: To find the quotient of a division problem with a remainder, you can use the following steps:

  1. Divide the dividend by the divisor using long division or a calculator.
  2. Identify the quotient and the remainder.
  3. Write the quotient and the remainder in the correct format.

Q5: What is the difference between a dividend and a divisor?

A5: A dividend is the number being divided, while a divisor is the number by which we are dividing.

Q6: How do I perform long division?

A6: To perform long division, you can follow these steps:

  1. Write the dividend and the divisor in the correct format.
  2. Divide the first digit of the dividend by the divisor.
  3. Multiply the divisor by the result and subtract the product from the dividend.
  4. Bring down the next digit of the dividend and repeat the process.
  5. Continue the process until you have divided all the digits of the dividend.

Q7: What is the quotient of the division problem 10523÷498=?10523 \div 498 = ?

A7: The quotient of the division problem 10523÷498=?10523 \div 498 = ? is 21 r 65.

Q8: How do I check if my answer is correct?

A8: To check if your answer is correct, you can use the following steps:

  1. Multiply the quotient by the divisor.
  2. Add the remainder to the product.
  3. Check if the result is equal to the dividend.

Q9: What is the importance of division in real-life situations?

A9: Division is an important operation in real-life situations, such as:

  1. Sharing: Division is used to share a certain number of items among a group of people.
  2. Measuring: Division is used to measure the amount of a substance or a quantity.
  3. Cooking: Division is used to measure the amount of ingredients needed for a recipe.

Q10: Can I use a calculator to find the quotient of a division problem?

A10: Yes, you can use a calculator to find the quotient of a division problem. However, it's always a good idea to double-check your answer using long division or a different method.

Conclusion

In conclusion, division is an important operation in mathematics that involves finding the quotient of a given dividend by a divisor. In this article, we have answered some frequently asked questions (FAQs) about division and provided examples to help illustrate the concepts.

Final Answer

The final answer to the division problem 10523÷498=?10523 \div 498 = ? is 21 r 65.

References