Long Division - Steps, Examples
Long division is an essential mathematical theory which has many real-world uses in different domains. One of its primary application is in finance, where it is utilized to figure out interest rates and determine loan payments. It is further used to calculate budgeting, taxes, and investments, making it an essential skill for anyone involved in finance.
In engineering, long division is used to figure out complex challenges related to development, construction, and design. Engineers use long division to determine the loads that structures can hold, evaluate the toughness of materials, and design mechanical systems. It is also applied in electrical engineering to figure out circuit parameters and design complex circuits.
Long division is further essential in science, where it is used to figure out dimensions and execute scientific calculations. Such as astronomers use long division to figure out the distances between stars, and physicists utilize it to figure out the velocity of objects.
In algebra, long division is used to factor polynomials and solve equations. It is an essential tool for solving complex problems that include large values and need precise calculations. It is also utilized in calculus to figure out integrals and derivatives.
As a whole, long division is an essential math concept which has multiple practical utilizations in many domains. It is a fundamental mathematical operation which is applied to figure out complex problems and is an important skill for everyone interested in finance, engineering, science, or math.
Why is Long Division Important?
Long division is an important mathematical concept which has several uses in different domains, including finance, engineering, and science. It is a fundamental mathematics operation that is utilized to figure out a broad range of problems, such as calculating interest rates, measuring the amount of time needed to complete a project, and figuring out the distance traveled by an object.
Long division is also applied in algebra to factor polynomials and solve equations. It is an essential tool for figuring out complex problems that include large values and requires exact calculations.
Procedures Involved in Long Division
Here are the stages involved in long division:
Step 1: Write the dividend (the number being divided) on the left and the divisor (the value dividing the dividend) on the left.
Step 2: Calculate how many times the divisor can be divided into the first digit or set of digits of the dividend. Write the quotient (the outcome of the division) prior 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 value remaining after the division) below the subtraction.
Step 5: Carry down the next digit or set of digits from the dividend and append it to the remainder.
Step 6: Replicate steps 2 to 5 unless 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.
Workings:
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
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
Therefore, 3475 divided by 83 is 41 with a remainder of 25.
Common Mistakes in Long Division
Long division can be a problematic theory to master, and there are numerous common mistakes which students make when working with long division. One common mistake is to forget to write down the remainder when dividing. One more common error is to incorrectly position the decimal point when dividing decimal numbers. Students may also forget to carry over values when subtracting the product within the dividend.
To circumvent making these mistakes, it is important to practice long division regularly and ready carefully each stage of the procedure. It can also be beneficial to revisit your work utilizing a calculator or by working the division in reverse to ensure that your result is right.
Furthermore, it is crucial to get a grasp of the basic principles about long division, such as the connection among the divisor, quotient, dividend, and remainder. By conquering the essentials of long division and preventing usual errors, everyone can enhance their abilities and gain confidence in their skill to solve intricate problems.
Conclusion
In conclusion, long division is a crucial math theory that is essential for working out complicated problems in several domains. It is used in engineering, science, finance, and mathematics, making it a crucial skill for professionals and learners alike. By conquering the stages consisted in long division and comprehending how to apply them to real-world problems, individuals can gain a deeper grasp of the complex workings of the world around us.
If you need assistance understanding long division or any other mathematical theory, Grade Potential Tutoring is here to help. Our expert instructors are available online or face-to-face to provide personalized and productive tutoring services to support you succeed. Our instructors can assist you through the stages in long division and other math concepts, support you work out complex problems, and give the tools you need to excel in your studies. Reach us right now to schedule a tutoring lesson and take your math skills to the next level.
