## Introduction

When it comes to basic arithmetic, division is one of the most fundamental and important operations. It is used in a wide variety of everyday situations, from splitting a bill at a restaurant to calculating monthly expenses. In this article, we will take a closer look at one specific division problem: 70000 divided by 12.

### Why 70000 Divided by 12?

You might be wondering why we have chosen this particular division problem to focus on. The answer is simple: 70000 divided by 12 is a common calculation that many people need to make on a regular basis, especially when it comes to financial matters. By understanding how to solve this problem quickly and accurately, you can save time and avoid costly mistakes.

## The Basics of Division

Before we dive into the specifics of 70000 divided by 12, let’s review some of the basic principles of division. At its core, division is the process of splitting a number into equal parts. The number being divided is called the dividend, while the number of equal parts is called the divisor. The result of a division problem is called the quotient.

### The Long Division Method

One of the most common ways to solve division problems is through the long division method. This involves a series of steps that can be broken down into four main parts: divide, multiply, subtract, and bring down.

### Solving 70000 Divided by 12 Using Long Division

Now that we understand the basics of division and the long division method, let’s apply this knowledge to the problem at hand: 70000 divided by 12. The first step is to write out the problem using the long division format:

_____ 12 | 70000

The next step is to divide the first digit of the dividend (in this case, 7) by the divisor (12). Since 12 cannot go into 7, we move on to the next digit, which is 70.

5 _____ 12 | 70000

Next, we multiply the quotient (5) by the divisor (12), which gives us 60. We then subtract 60 from 70 to get 10.

5 _____ 12 | 70000 60 --- 100

We bring down the next digit (0) and add it to the remainder (10) to get 100. We then repeat the process of dividing, multiplying, subtracting, and bringing down until we have no more digits to work with.

5833 _____ 12 | 70000 60 --- 100 96 --- 40 36 -- 40 36 -- 4

The final quotient is 5833 with a remainder of 4, which means that 70000 divided by 12 is equal to 5833 with a remainder of 4.

## Alternative Methods

While the long division method is a tried-and-true way to solve division problems, there are other methods that can be used as well. One such method is called estimation, which involves rounding the dividend and divisor to the nearest multiple of 10 or 100 and then dividing using mental math.

### Estimating 70000 Divided by 12

To estimate 70000 divided by 12, we can round 70000 down to 70000 and round 12 up to 20. We then divide 70000 by 20, which gives us 3500. This is a rough estimate of the true quotient, which we know is actually 5833 with a remainder of 4.

## Conclusion

In conclusion, understanding how to solve division problems is an essential skill that can help you in a variety of situations. By mastering the long division method and other alternative methods, you can quickly and accurately calculate problems like 70000 divided by 12. Whether you are managing your personal finances or working on a complex mathematical problem, the ability to divide numbers is an important tool to have in your toolkit.