Long Division - Steps, Examples
Long division is an important math concept that has several real-world utilizations in various fields. One of its primary application is in finance, where it is used to figure out interest rates and find out loan payments. It is further used to figure out investments, budgeting, and taxes, making it a crucial skill for anyone involved in finance.
In engineering, long division is utilized to solve complicated challenges in connection to development, construction, and design. Engineers utilize long division to determine the loads which structures can hold, determine the strength of materials, and plan mechanical systems. It is also utilized in electrical engineering to figure out circuit parameters and design complex circuits.
Long division is further crucial in science, where it is used to calculate dimensions and execute scientific workings. For instance, astronomers use long division to figure out the length between stars, and physicists use it to determine the velocity of objects.
In algebra, long division is applied to factor polynomials and solve equations. It is an essential tool for solving complicated problems which consist of large values and need accurate calculations. It is also used in calculus to figure out integrals and derivatives.
As a whole, long division is an important math concept that has multiple practical uses in various domains. It is a fundamental math operation which is used to solve complex challenges and is an important skill for anyone interested in science, finance, engineering, or arithmetic.
Why is Long Division Important?
Long division is an important mathematical idea which has several uses in various domains, consisting of science, finance, engineering. It is an important mathematics function that is utilized to figure out a broad spectrum of challenges, for example, working out interest rates, determining the length of time needed to finish a project, and finding the length traveled by an object.
Long division is further utilized in algebra to factor polynomials and work out equations. It is an important tool for figuring out complex problems that consist of enormous values and need precise calculations.
Procedures Involved in Long Division
Here are the stages involved in long division:
Step 1: Note 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) above the digit or set of digits.
Step 3: Multiply the quotient by the divisor and write the outcome beneath 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. Note down the remainder (the amount left over after the division) below the subtraction.
Step 5: Bring 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 refined.
Examples of Long Division
Here are handful of 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.
Solution:
85
-----
21 | 1789
21
---
158
147
---
11
So, 1789 divided by 21 is 85 with a remainder of 11.
Example 3: Divide 3475 by 83.
Workings:
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 difficult idea to conquer, and there are numerous ordinary mistakes which students make when working with long division. One general error is to forget to note down the remainder when dividing. One more common mistake 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 crucial to work on long division daily and pay close attention to each step of the procedure. It can further be beneficial to revisit your work using a calculator or by working the division in reverse to make sure that your answer is correct.
Additionally, it is crucial to comprehend the basic principles regarding long division, for instance, the connection between the quotient, dividend, divisor, and remainder. By conquering the basics of long division and avoiding common mistakes, everyone can improve their abilities and gather self-esteem in their ability to figure out complicated challenges.
Conclusion
Finally, long division is a fundamental mathematical idea that is crucial for figuring out complicated problems in various domains. It is used in finance, engineering, science, and math, making it an essential skill for professionals and learners alike. By mastering the procedure consisted in long division and getting a grasp of how to apply them to practical problems, individuals can gain a detailed grasp of the complicated workings of the world around us.
If you want guidance understanding long division or any other mathematical concept, Grade Potential Tutoring is here to assist you. Our expert teachers are accessible online or in-person to give customized and productive tutoring services to support you succeed. Our instructors can guide you through the steps of long division and other math ideas, help you work out complicated challenges, and give 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.
