Long Division - Steps, Examples
Long division is an essential mathematical idea which has multiple real-world uses in various domains. One of its main uses is in finance, where it is used to calculate interest rates and determine loan payments. It is further utilized to work out taxes, investments, and budgeting, making it an essential skill for anyone working in finance.
In engineering, long division is utilized to solve complex challenges related to development, construction, and design. Engineers employ long division to calculate the loads that structures can endure, evaluate the strength of materials, and design mechanical networks. It is also utilized in electrical engineering to determine circuit parameters and design complicated circuits.
Long division is further crucial in science, where it is utilized to figure out dimensions and execute scientific calculations. For instance, astronomers use long division to determine the length 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 a crucial tool for solving complicated challenges that involve large numbers and requires accurate calculations. It is also used in calculus to figure out integrals and derivatives.
As a whole, long division is an essential math concept which has several real-life utilizations in several fields. It is a fundamental arithmetic function which is applied to solve complicated challenges and is an essential skill for everyone keen in science, finance, engineering, or math.
Why is Long Division Important?
Long division is an essential mathematical theory that has numerous utilization in various fields, including science, finance, engineering. It is an essential arithmetic operation that is used to work out a wide range of challenges, such as working out interest rates, determining the amount of time needed to finish a project, and figuring out the length traveled by an object.
Long division is further used in algebra to factor polynomials and work out equations. It is a crucial tool for solving complex problems which include enormous values and need accurate calculations.
Steps 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) 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 result obtained in step 3 from the digit or set of digits in the dividend. Note down the remainder (the value remaining after the division) underneath the subtraction.
Step 5: Carry down the next digit or set of digits from the dividend and append it to the remainder.
Step 6: Repeat steps 2 to 5 unless all the digits in the dividend have been refined.
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
Therefore, 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
Therefore, 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
As a result, 3475 divided by 83 is 41 with a remainder of 25.
Common Mistakes in Long Division
Long division can be a problematic idea to master, and there are several general errors which learners make when performing long division. One usual error is to forget to write down the remainder when dividing. One more common mistake is to wrongly place the decimal point while dividing decimal numbers. Learners may also forget to carry over figures while subtracting the product from the dividend.
To circumvent making these mistakes, it is essential to practice long division regularly and ready carefully each step of the process. It can further be beneficial to revisit your calculations utilizing a calculator or by performing the division in reverse to make sure that your result is right.
Furthermore, it is crucial to understand the fundamental principles regarding long division, for example, the link between the dividend, divisor, quotient, and remainder. By mastering the fundamentals of long division and preventing usual mistakes, individuals can better their abilities and gain confidence in their ability to solve complex challenges.
Conclusion
Finally, long division is a fundamental mathematical theory which is crucial for working out complex challenges in many domains. It is used in engineering, science, finance, and mathematics, making it an essential skill for professionals and students alike. By conquering the stages involved in long division and getting a grasp of how to use them to real-world challenges, anyone can gain a deeper understanding of the complicated workings of the world surrounding us.
If you need assistance understanding long division or any other math theory, Grade Potential Tutoring is here to help. Our experienced instructors are available online or in-person to give customized and effective tutoring services to support you be successful. Our tutors can guide you with the steps of long division and other arithmetic theories, assist you solve complicated problems, and give the tools you want to excel in your studies. Contact us today to schedule a tutoring class and take your math skills to the next stage.
