Performing Division Using Long Division

Oct 13, 2025 by miodeya.com 123 views

Introduction

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is an essential concept in arithmetic and algebra, and it plays a crucial role in various mathematical operations, including fractions, decimals, and percentages. In this article, we will focus on performing division, specifically the division of $813$ by $8$ . We will break down the process into simple steps and provide a clear explanation of each step.

Understanding Division

Division is the inverse operation of multiplication. It involves finding the quotient of two numbers, which is the result of dividing one number by another. The quotient is the number of times the divisor (the number by which we are dividing) fits into the dividend (the number being divided). In other words, division is a way of finding out how many groups of a certain size can be made from a given quantity.

Performing Division: A Step-by-Step Guide

To perform division, we need to follow a series of steps. Here's a step-by-step guide to performing division:

Step 1: Write the Division Problem

The first step in performing division is to write the division problem. In this case, we need to write $813 \div 8$ . This means that we are dividing $813$ by $8$ .

Step 2: Determine the Quotient

The next step is to determine the quotient. To do this, we need to ask ourselves how many times $8$ fits into $813$ . We can do this by dividing $813$ by $8$ .

Step 3: Perform the Division

To perform the division, we need to divide $813$ by $8$ . We can do this by using long division or by using a calculator.

Step 4: Check the Quotient

Once we have performed the division, we need to check the quotient to make sure it is correct. We can do this by multiplying the quotient by the divisor and checking if the result is equal to the dividend.

Performing Division Using Long Division

Long division is a method of performing division that involves dividing a number by another number using a series of steps. Here's how to perform long division:

Step 1: Write the Division Problem

The first step in performing long division is to write the division problem. In this case, we need to write $813 \div 8$ .

Step 2: Divide the First Digit

The next step is to divide the first digit of the dividend by the divisor. In this case, we need to divide $8$ by $8$ , which gives us $1$ .

Step 3: Multiply and Subtract

The next step is to multiply the result by the divisor and subtract the product from the dividend. In this case, we need to multiply $1$ by $8$ and subtract the product from $813$ . This gives us $813 - 8 = 805$ .

Step 4: Bring Down the Next Digit

The next step is to bring down the next digit of the dividend. In this case, we need to bring down the $0$ , which gives us $8050$ .

Step 5: Repeat the Process

The next step is to repeat the process of dividing the first digit of the dividend by the divisor, multiplying the result by the divisor, and subtracting the product from the dividend. In this case, we need to divide $8050$ by $8$ , which gives us $1006$ with a remainder of $2$ .

Step 6: Write the Quotient

The final step is to write the quotient. In this case, the quotient is $101$ with a remainder of $5$ .

Performing Division Using a Calculator

Performing division using a calculator is a quick and easy way to find the quotient. Here's how to perform division using a calculator:

Step 1: Enter the Division Problem

The first step in performing division using a calculator is to enter the division problem. In this case, we need to enter $813 \div 8$ .

Step 2: Press the Divide Button

The next step is to press the divide button on the calculator. This will give us the quotient.

Step 3: Check the Quotient

The final step is to check the quotient to make sure it is correct. We can do this by multiplying the quotient by the divisor and checking if the result is equal to the dividend.

Conclusion

Performing division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is an essential concept in arithmetic and algebra, and it plays a crucial role in various mathematical operations, including fractions, decimals, and percentages. In this article, we have provided a step-by-step guide to performing division, including how to perform long division and how to use a calculator to find the quotient. We have also provided examples of how to perform division using long division and a calculator. By following these steps, you should be able to perform division with ease and accuracy.

Final Answer

$The final answer to the division problem $813 \div 8$ is $101.625$.<br/> **Frequently Asked Questions (FAQs) About Division**$

Introduction

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is an essential concept in arithmetic and algebra, and it plays a crucial role in various mathematical operations, including fractions, decimals, and percentages. In this article, we will answer some frequently asked questions about division, including how to perform division, how to use long division, and how to use a calculator to find the quotient.

Q: What is division?

A: Division is a mathematical operation that involves sharing a certain quantity into equal parts or groups. It is the inverse operation of multiplication, and it is used to find the quotient of two numbers.

Q: How do I perform division?

A: To perform division, you need to follow a series of steps. Here's a step-by-step guide to performing division:

Write the division problem.
Determine the quotient.
Perform the division.
Check the quotient.

Q: What is the difference between division and multiplication?

A: Division and multiplication are inverse operations. Division involves finding the quotient of two numbers, while multiplication involves finding the product of two numbers.

Q: How do I use long division to perform division?

A: Long division is a method of performing division that involves dividing a number by another number using a series of steps. Here's how to use long division:

Write the division problem.
Divide the first digit of the dividend by the divisor.
Multiply the result by the divisor and subtract the product from the dividend.
Bring down the next digit of the dividend.
Repeat the process until you have divided all the digits of the dividend.

Q: How do I use a calculator to perform division?

A: To use a calculator to perform division, you need to enter the division problem and press the divide button. The calculator will then give you the quotient.

Q: What is the quotient of a division problem?

A: The quotient of a division problem is the result of dividing one number by another. It is the number of times the divisor fits into the dividend.

Q: How do I check the quotient of a division problem?

A: To check the quotient of a division problem, you need to multiply the quotient by the divisor and check if the result is equal to the dividend.

Q: What are some common mistakes to avoid when performing division?

A: Some common mistakes to avoid when performing division include:

Not following the order of operations
Not using the correct divisor
Not checking the quotient
Not using a calculator to check the quotient

Q: How do I round a quotient to the nearest whole number?

A: To round a quotient to the nearest whole number, you need to look at the decimal part of the quotient. If the decimal part is less than 0.5, you round down to the nearest whole number. If the decimal part is 0.5 or greater, you round up to the nearest whole number.

Conclusion

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is an essential concept in arithmetic and algebra, and it plays a crucial role in various mathematical operations, including fractions, decimals, and percentages. In this article, we have answered some frequently asked questions about division, including how to perform division, how to use long division, and how to use a calculator to find the quotient. By following these steps and avoiding common mistakes, you should be able to perform division with ease and accuracy.

Final Answer

The final answer to the division problem $813 \div 8$ is $101.625$ .