500 Divided By 7 – The Ultimate Guide To Solving The Equation

The Basics of Division

If you’ve ever struggled with division, you’re not alone. It can be a difficult concept to grasp, especially if you’re not confident with your basic math skills. Division is the process of dividing a larger number into smaller, equal parts. In this article, we’re going to focus on one specific division problem: 500 divided by 7.

Step One: Write the Equation

The first step in solving any math problem is to write out the equation. In this case, we have 500 divided by 7. You can write this as: 500 ÷ 7

Step Two: Divide the First Digit

When dividing, you always start with the first digit of the larger number. In this case, that’s 5. You need to determine how many times 7 goes into 5. Since 7 is larger than 5, you can’t divide evenly. Instead, you need to move on to the next digit.

Step Three: Divide the First Two Digits

The next two digits in 500 are 50. You need to determine how many times 7 goes into 50. You can do this by performing long division or by using mental math. In this case, 7 goes into 50 seven times, with a remainder of 1.

Step Four: Bring Down the Next Digit

Now that you’ve determined how many times 7 goes into the first two digits, you need to bring down the next digit. In this case, that’s the 0. So, you now have 10.

Step Five: Divide the First Two Digits Again

Repeat the process from step three with the new number. In this case, 7 goes into 10 one time, with a remainder of 3.

Step Six: Bring Down the Next Digit Again

Repeat step four by bringing down the next digit. In this case, that’s the 0, so you now have 30.

Step Seven: Divide the First Two Digits Again

Repeat step five with the new number. In this case, 7 goes into 30 four times, with a remainder of 2.

Step Eight: Bring Down the Next Digit Again

Repeat step four by bringing down the next digit. In this case, that’s the 0, so you now have 20.

Step Nine: Divide the First Two Digits Again

Repeat step five with the new number. In this case, 7 goes into 20 two times, with a remainder of 6.

Step Ten: Bring Down the Next Digit Again

Repeat step four by bringing down the next digit. In this case, that’s the 0, so you now have 60.

Step Eleven: Divide the First Two Digits Again

Repeat step five with the new number. In this case, 7 goes into 60 eight times, with a remainder of 4.

Step Twelve: Bring Down the Next Digit Again

Repeat step four by bringing down the next digit. In this case, that’s the 0, so you now have 40.

Step Thirteen: Divide the First Two Digits Again

Repeat step five with the new number. In this case, 7 goes into 40 five times, with a remainder of 5.

Step Fourteen: Bring Down the Next Digit Again

Repeat step four by bringing down the next digit. In this case, there are no more digits to bring down, so you’re finished!

The Final Answer

So, what is 500 divided by 7? Using the steps above, we can see that the answer is: 71 with a remainder of 3

Why is This Important?

You may be wondering why it’s important to know how to divide 500 by 7. While you may not encounter this specific problem often, understanding division is an essential skill for many aspects of life. For example, if you’re shopping and trying to determine the price per unit of a product, you’ll need to use division. Additionally, if you’re trying to split a bill evenly among a group of people, you’ll again need to use division.

Practice Makes Perfect

The best way to get better at math is to practice. Try solving different division problems, starting with simpler ones and working your way up to more complex equations like 500 divided by 7. You can also use online resources and apps to help you practice and improve your skills.

The Bottom Line

Division doesn’t have to be overwhelming or intimidating. By breaking down the process into simple steps, you can easily solve any division problem, including 500 divided by 7. With practice and patience, you’ll become a division pro in no time!