Long Division - Steps, Examples
Long division is an important math concept which has several real-life applications in various fields. One of its primary application is in finance, where it is utilized to calculate interest rates and find out loan payments. It is further applied to calculate taxes, investments, and budgeting, making it an important skill for anyone working in finance.
In engineering, long division is utilized to figure out complex problems linked to construction, design, and development. Engineers utilize long division to calculate the weight which structures can endure, evaluate the strength of materials, and design mechanical systems. It is further utilized in electrical engineering to determine circuit parameters and design intricate circuits.
Long division is also crucial in science, where it is used to determine dimensions and perform scientific calculations. For instance, astronomers use long division to figure out the distances between stars, and physicists use it to figure out the velocity of objects.
In algebra, long division is used to factor polynomials and solve equations. It is an important tool for figuring out complex problems that include huge values and need precise calculations. It is also applied in calculus to work out integrals and derivatives.
As a whole, long division is a crucial math theory which has multiple practical utilizations in many domains. It is an essential arithmetic function that is applied to figure out complicated problems and is an important skill for everyone keen in finance, engineering, science, or arithmetic.
Why is Long Division Important?
Long division is an important mathematical theory that has several utilization in various domains, involving science, finance, engineering. It is an essential arithmetic operation which is applied to work out a broad array of problems, for instance, working out interest rates, determining the amount of time required to complete a project, and finding the distance traveled by an object.
Long division is also used in algebra to factor polynomials and solve equations. It is an important tool for working out intricate challenges that involve large numbers and need accurate calculations.
Procedures 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: Determine how many times the divisor can be divided into the first digit or set of digits of the dividend. Write the quotient (the result of the division) prior the digit or set of digits.
Step 3: Multiply the quotient by the divisor and note down 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 value left over 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: Replicate 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
Thus, 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
As a result, 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
Thus, 3475 divided by 83 is 41 with a remainder of 25.
Common Mistakes in Long Division
Long division can be a challenging theory to master, and there are several general errors that students make when performing long division. One usual mistake is to forget to note down the remainder when dividing. One more common error is to incorrectly position the decimal point while dividing decimal numbers. Learners may also forget to carry over figures when subtracting the product within the dividend.
To circumvent making these mistakes, it is essential to practice long division daily and be mindful of each stage of the procedure. It can further be beneficial to revise your work using a calculator or by performing the division in reverse to assure that your answer is correct.
In addition, it is essential to get a grasp of the basic principles behind long division, for instance, the relationship among the quotient, dividend, divisor, and remainder. By mastering the fundamentals of long division and preventing usual mistakes, anyone can better their abilities and obtain self-esteem in their ability to figure out complex challenges.
Conclusion
Ultimately, long division is a fundamental math idea that is crucial for working out complicated challenges in several fields. It is used in finance, engineering, science, and mathematics, making it an essential skill for professionals and students alike. By mastering the steps involved in long division and comprehending how to apply them to practical problems, everyone can gain a deeper understanding of the complex workings of the world around us.
If you need assistance comprehending long division or any other arithmetic theory, Grade Potential Tutoring is here to help. Our experienced instructors are accessible remotely or face-to-face to offer personalized and effective tutoring services to guide you succeed. Our instructors can guide you across the stages in long division and other mathematical theories, help you work out complicated problems, and offer the tools you need to excel in your studies. Reach us today to schedule a tutoring session and take your math skills to the next level.
