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Dividing decimals is a fundamental concept in mathematics that allows us to divide numbers that are not whole. While dividing whole numbers may seem straightforward, dividing decimals introduces an additional layer of complexity. It requires understanding the placement of the decimal point and the concept of place value. In this guide, we will explore the step-by-step process of dividing decimals and provide practical examples to help you grasp this mathematical skill. By the end, you will have a clear understanding of how to confidently and accurately divide decimals.
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If a few decimal places make division difficult, you can simply shorten the process by passing commas. After passing the decimal point of the divisor, the problem becomes integer division. It’s important that you don’t forget to convert the decimal point at the same time. After double-checking and making sure the commas are in place, you can do the math to find the final answer.
Steps
Divide decimals
![Image titled Divide Decimals Step 1](https://www.wikihow.com/images_en/thumb/b/bb/Divide-Decimals-Step-1-Version-2.jpg/v4-728px-Divide-Decimals-Step-1-Version-2.jpg)
![Image titled Divide Decimals Step 2](https://www.wikihow.com/images_en/thumb/d/de/Divide-Decimals-Step-2-Version-2.jpg/v4-728px-Divide-Decimals-Step-2-Version-2.jpg)
- When writing math operations on scratch paper, the number to be divided will be the number to the left of the divider.
![Image titled Divide Decimals Step 3](https://www.wikihow.com/images_en/thumb/2/20/Divide-Decimals-Step-3-Version-2.jpg/v4-728px-Divide-Decimals-Step-3-Version-2.jpg)
- For example, the quotient of 22.5 ÷ 15.2 is 1.48.
Check the result
![Image titled Divide Decimals Step 4](https://www.wikihow.com/images_en/thumb/2/2e/Divide-Decimals-Step-4-Version-2.jpg/v4-728px-Divide-Decimals-Step-4-Version-2.jpg)
- If there is more than 1 number after the comma, keep moving the comma until the decimal is rounded to an integer. For example, with 43.52, you need to move the comma 2 units to the right to get 4352.
- If the divisor is an integer, you don’t need to pass commas.
![Image titled Divide Decimals Step 5](https://www.wikihow.com/images_en/thumb/b/b6/Divide-Decimals-Step-5-Version-2.jpg/v4-728px-Divide-Decimals-Step-5-Version-2.jpg)
- For example, with the operation 4.5 ÷ 0.05, after moving the comma to the right 2 units, we have 450 ÷ 5.
- You should rewrite the topic to avoid making simple mistakes.
![Image titled Divide Decimals Step 6](https://www.wikihow.com/images_en/thumb/9/96/Divide-Decimals-Step-6-Version-2.jpg/v4-728px-Divide-Decimals-Step-6-Version-2.jpg)
- In the example, if you moved the comma 2 units to the right, now place a comma just above the 0 of 450.
![Image titled Divide Decimals Step 7](https://www.wikihow.com/images_en/thumb/5/58/Divide-Decimals-Step-7.jpg/v4-728px-Divide-Decimals-Step-7.jpg)
- For example, since 4 is not divisible by 5, we take 45 ÷ 5 = 9. Write 9 in the lower right of the division box, followed by the zero and comma of the previous divisor. Although the results need to be shortened in the end, this rough calculation will help you avoid confusion.
![Image titled Divide Decimals Step 8](https://www.wikihow.com/images_en/thumb/0/0e/Divide-Decimals-Step-8.jpg/v4-728px-Divide-Decimals-Step-8.jpg)
- For example, to check if the math 4.5 ÷ 0.05 = 90 is correct, take 90 x 0.05 = 4.5. So 90 is the correct result.
This article is co-authored by a team of editors and trained researchers who confirm the accuracy and completeness of the article.
The wikiHow Content Management team carefully monitors the work of editors to ensure that every article is up to a high standard of quality.
This article has been viewed 5,483 times.
If a few decimal places make division difficult, you can simply shorten the process by passing commas. After passing the decimal point of the divisor, the problem becomes integer division. It’s important that you don’t forget to convert the decimal point at the same time. After double-checking and making sure the commas are in place, you can do the math to find the final answer.
In conclusion, dividing decimals is a valuable skill that is used in many real-life situations. By following a few simple steps, dividing decimals can be easily accomplished. It is important to line up the decimal points, adjust the dividend or divisor if necessary, and perform the division as if working with whole numbers. By practicing dividing decimals and understanding the concept behind it, individuals can improve their overall math skills and problem-solving abilities. Dividing decimals is just one of the many essential skills needed in everyday life, such as understanding financial transactions, cooking measurements, and making accurate calculations. Therefore, mastering the skill of dividing decimals is crucial and can greatly benefit individuals in both their personal and professional lives.
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