May 04, 2023

Long Division - Steps, Examples

Long division is an important math concept that has several real-world applications in various fields. One of its main uses is in finance, where it is used to calculate interest rates and determine loan payments. It is further used to calculate taxes, investments, and budgeting, making it an important skill for anybody working in finance.


In engineering, long division is utilized to solve intricate challenges related to construction, design, and development. Engineers utilize long division to estimate the weight which structures can endure, assess the strength of materials, and design mechanical networks. It is also utilized in electrical engineering to figure out circuit parameters and design complex circuits.


Long division is also crucial in science, where it is utilized to calculate dimensions and perform scientific calculations. Such as astronomers use long division to determine the distances between stars, and physicists use it to determine the velocity of objects.


In algebra, long division is used to factor polynomials and solve equations. It is an essential tool for figuring out complex challenges which include huge numbers and requires precise calculations. It is also utilized in calculus to calculate integrals and derivatives.


In conclusion, long division is an important math theory that has multiple practical uses in various fields. It is a fundamental mathematical function which is used to figure out complicated challenges and is a crucial skill for anyone keen in engineering, science, finance, or arithmetic.

Why is Long Division Important?

Long division is an essential math theory that has several utilization in different fields, consisting of finance, engineering, and science. It is an important math operation that is used to solve a broad array of challenges, such as working out interest rates, measuring the length of time needed to finish a project, and determining the length traveled by an object.


Long division is further utilized in algebra to factor polynomials and figure out equations. It is an important tool for figuring out complicated problems that include huge values and requires exact calculations.

Stages Involved in Long Division

Here are the steps involved in long division:


Step 1: Write the dividend (the number being divided) on the left and the divisor (the number dividing the dividend) on the left.


Step 2: Calculate how many times the divisor could be divided into the first digit or set of digits of the dividend. Write the quotient (the result of the division) above the digit or set of digits.


Step 3: Multiply the quotient by the divisor and write the outcome below the digit or set of digits.


Step 4: Subtract the outcome achieved in step 3 from the digit or set of digits in the dividend. Write the remainder (the amount remaining after the division) below the subtraction.


Step 5: Carry down the following digit or set of digits from the dividend and append it to the remainder.


Step 6: Repeat steps 2 to 5 until all the digits in the dividend have been processed.

Examples of Long Division

Here are few examples of long division:


Example 1: Divide 562 by 4.


Solution:



140

--------

4 | 562

4

--

16

16

---


2


As a result, 562 divided by 4 is 140 with a remainder of 2.


Example 2: Divide 1789 by 21.


Workings:



85

-----

21 | 1789

21

---

158

147

---

11


Thus, 1789 divided by 21 is 85 with a remainder of 11.


Example 3: Divide 3475 by 83.


Solution:


41

-----

83 | 3475

3326

----

149

124

---

25


So, 3475 divided by 83 is 41 with a remainder of 25.

Common Mistakes in Long Division

Long division can be a difficult theory to conquer, and there are many common mistakes which learners make when performing long division. One general error is to forget to write down the remainder when dividing. Another usual error is to incorrectly place the decimal point while dividing decimal numbers. Students might also forget to carry over numbers when subtracting the product within the dividend.


To avoid making these errors, it is essential to work on long division daily and be mindful of each step of the procedure. It can further be helpful to revise your calculations utilizing a calculator or by performing the division in reverse to ensure that your solution is right.


Furthermore, it is important to get a grasp of the basic principles regarding long division, for example, the connection between the dividend, divisor, quotient, and remainder. By mastering the essentials of long division and avoiding common errors, individuals can improve their skills and obtain self-esteem in their skill to figure out intricate challenges.

Conclusion

Finally, long division is a fundamental mathematical idea which is crucial for figuring out complex problems in various domains. It is utilized in science, finance, engineering, and math, making it an essential skill for working professionals and students alike. By conquering the stages involved in long division and comprehending how to utilize them to real-world problems, anyone can obtain a deeper understanding of the complex workings of the world around us.


If you require help understanding long division or any other arithmetic idea, Grade Potential Tutoring is here to assist you. Our expert tutors are available online or in-person to give personalized and productive tutoring services to guide you be successful. Our tutors can guide you across the stages in long division and other mathematical ideas, help you solve complex problems, and offer the tools you need to excel in your studies. Call us today to plan a tutoring session and take your math skills to the next stage.