Did you know that long division is one of the most reliable methods for dividing larger numbers? In this article, we will explore the step-by-step process to solve the division problem 80 divided by 5 using long division. Whether you’re a student looking to brush up on your mathematical skills or simply curious about the fascinating world of division, this guide will help you master the art of long division.
Key Takeaways:
- Long division is a method used to divide larger numbers into smaller parts to find the quotient.
- The step-by-step process of long division involves dividing, multiplying, subtracting, and bringing down digits.
- To solve 80 divided by 5 using long division, the final quotient is 16.
- Practicing long division will improve your mathematical skills and prepare you for more complex division problems.
Understanding Long Division
Before we dive into the step-by-step process of long division for 80 divided by 5, let’s briefly review how long division works. Long division is a commonly used method to divide larger numbers into smaller parts to find the quotient.
What is Long Division?
Long division is a mathematical algorithm that allows us to divide one number (the dividend) by another number (the divisor) in order to find the result called the quotient. It is particularly useful when dividing larger numbers that cannot be easily divided mentally.
Long division is a step-by-step process that involves dividing, multiplying, subtracting, and bringing down digits until the remainder becomes zero. It allows us to break down complex division problems into more manageable steps, making it easier to find the correct quotient.
Now, let’s explore the long division method in detail and apply it to solve the division problem of 80 divided by 5.
As you can see from the example above, long division is represented visually by a division symbol with a dividend on the inside and a divisor on the outside. The goal is to find the quotient and any remainders that may occur.
By understanding the principles and steps of long division, you’ll be able to confidently solve division problems like 80 divided by 5 using this efficient method. Stay tuned for the step-by-step breakdown of long division for 80 divided by 5 in the next section.
Step 1 – Divide
The first step in solving 80 divided by 5 using long division is to divide the leftmost digit of the dividend by the divisor. In this case, the leftmost digit is 8, and the divisor is 5.
To begin, divide 8 by 5, which equals 1. Write this quotient above the division line.
| 1 | |
|---|---|
| 5 │ 80 |
Step 2 – Multiply and Subtract
In the second step of long division for 80 divided by 5, we multiply the quotient (1) by the divisor (5). The result (5) is then written below the dividend. After that, we subtract this result from the first portion of the dividend (8 – 5 = 3) and bring down the next digit (0).
| Dividend | Divisor | Quotient | Result | Remainder |
|---|---|---|---|---|
| 80 | 5 | 1 | ||
| 5 | ||||
| 3 | ||||
| 0 |
In this step, we have multiplied the quotient (1) by the divisor (5), resulting in 5. Then, by subtracting this result from the first portion of the dividend (8 – 5 = 3), we bring down the next digit (0).
Step 3 – Divide Again
In the third step of our step-by-step long division process for 80 divided by 5, we need to divide the new number, which is 30, by the divisor, which is 5. The quotient we obtain from this division will be written above the division line. Let’s see how it works.
Dividing 30 by 5:
30 ÷ 5 = 6
So, the quotient of dividing 30 by 5 is 6. Now, we write this quotient above the division line.
Let’s take a look at the current state of the long division process for 80 divided by 5:
| 8 | 0 | |||
| – | 1 | |||
| 3 | 0 | |||
| 6 | ||||
| – | ||||
| 0 |
As we can see, the quotient of dividing 30 by 5, which is 6, is now written above the division line. We are ready to proceed to the next step of long division to solve 80 divided by 5.
Step 4 – Multiply and Subtract
In the fourth step of long division for dividing 80 by 5 using long division, we multiply the quotient (6) by the divisor (5) to get the result (30). Write this result below the previous result.
Example:
| Dividend | Quotient | Result |
|---|---|---|
| 80 | 6 | 30 |
| – | x | 5 |
After obtaining the result (30), we subtract it from the new portion of the dividend (30 – 30 = 0).
Now, let’s move on to the next step, where we bring down the next digit and divide again.
Step 5 – Bring Down and Divide Again
Now, let’s move on to step 5 of our step-by-step long division for 80 divided by 5. In this step, we need to bring down the next digit, which is 0, from the dividend and divide it by the divisor, 5.
To clarify, we already have a partial quotient of 16 from the previous steps. Remember, the quotient represents how many times the divisor can be evenly divided into the current portion of the dividend. So far, we’ve successfully divided the two-digit dividend by the single-digit divisor.
Let’s proceed by bringing down the next digit, 0, from the dividend. Now, we have a new number, 0, to work with. We need to divide this new number, 0, by the divisor, 5, to find the quotient for this step.
When we divide 0 by 5, we find that the quotient is 0. Since there are no more digits left in the dividend, we have completed the division process.
Step 6 – Multiply and Subtract
In this step, we will multiply the quotient from the previous step (0) by the divisor (5) to find the result. Use long division to visualize the process and ensure accurate calculations.
Multiply:
| 0 | × | 5 | = | 0 |
Next, write the result (0) below the previous result.
| 0 | ||||
| – | 0 |
Finally, subtract the result from the remaining portion of the dividend to get the new dividend.
| 0 | ||||
| – | 0 | |||
| 0 |
After the subtraction, we are left with a remaining portion of 0. This means that our division process is complete, as there are no more digits to bring down and divide.
By following the step-by-step process of long division, we have successfully completed the division of 80 by 5. The final quotient is 16. Congratulations!
Step 7 – Final Quotient
After completing all the steps of long division, we have reached the final stage. At this point, there are no more digits left in the dividend, and it’s time to determine the final quotient.
In the division problem of 80 divided by 5 using long division, we obtained quotients of 1, 6, and 0 in the previous steps. Now, we combine these quotients to find the final quotient.
The combination of the quotients 1, 6, and 0 gives us the final quotient, which is 16. This means that 80 divided by 5 equals 16.
By following the step-by-step process of long division, we have successfully solved the division problem. Long division is an effective method for dividing larger numbers and determining accurate quotients.
To recap, the final quotient obtained through long division for 80 divided by 5 is 16.
Now that we have obtained the final quotient, we can conclude the division process and consider the problem solved. Long division can be a useful tool in solving various division problems, allowing us to break them down into manageable steps and calculate precise quotients.
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 80 | 5 | 16 | 0 |
With the final quotient of 16, we have successfully divided 80 by 5 using long division. Practice this method regularly to improve your division skills and tackle more complex division problems with confidence.
Conclusion
In conclusion, by following the step-by-step process of long division, we have successfully solved the division problem 80 divided by 5. Long division is a valuable mathematical skill that allows us to break down larger numbers and find the quotient. By practicing and mastering long division, you will not only improve your mathematical skills, but also gain the confidence to tackle more complex division problems in the future.
Remember, practice is key to becoming a division expert. The more you challenge yourself with different division problems, the better you will become at solving them. Take the time to understand each step of the long division process and apply it consistently to different numbers. With continued practice and perseverance, you will soon be able to solve division problems effortlessly and accurately.
So keep practicing, keep challenging yourself, and soon you’ll be dividing numbers with ease. Long division may seem daunting at first, but with dedication and practice, you’ll soon find yourself mastering this essential mathematical technique.
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