# Understanding The Math Behind 3 Divided By 200

## Introduction

Mathematics is a subject that is often feared by many because of its complexity. However, understanding basic mathematical operations is essential in our daily lives, and it can be fun too. One such operation is division, and in this article, we will be focusing on 3 divided by 200.

## What is Division?

Division is a mathematical operation that involves splitting a number into equal parts. The result obtained from division is called the quotient. In simpler terms, division is like sharing a set of objects or things equally among a group of people.

## Dividing 3 by 200

To understand how to divide 3 by 200, we need to have a basic knowledge of place values. The number 200 has two digits, with the 2 occupying the hundreds place and the 0 occupying the tens place. On the other hand, the number 3 is a single-digit number.

### The Long Division Method

One way to divide 3 by 200 is by using the long division method. We start by writing 3 as the dividend and 200 as the divisor. We then divide the first digit of the dividend (which is 3) by the divisor (which is 200). Since 3 is less than 200, the quotient is 0. We then bring down the next digit of the dividend (which is 0) and add it to the previous quotient, giving us 0 as the new dividend. We then repeat the process by dividing the first digit of the new dividend (which is 0) by the divisor (200). Since 0 is less than 200, the quotient is 0. We then bring down the next digit of the dividend (which is 0) and add it to the previous quotient, giving us 0 once again. We then repeat the same process by bringing down the last digit of the dividend (which is 3) and adding it to the previous quotient. We then divide the new dividend (which is 3) by the divisor (200). Since 3 is less than 200, the quotient is 0. Therefore, 3 divided by 200 is equal to 0.015.

### The Fraction Method

Another way to divide 3 by 200 is by converting the numbers into fractions. We can write 3 as 3/1 and 200 as 200/1. We then invert the divisor (200/1) and multiply it with the dividend (3/1). This gives us: 3/1 x 1/200 = 3/200 Therefore, 3 divided by 200 is equal to 3/200 or 0.015.

## Conclusion

In conclusion, dividing 3 by 200 may seem like a simple mathematical operation. However, it is essential to have a basic understanding of the process involved. We have discussed two methods for dividing 3 by 200, namely the long division method and the fraction method. Both methods yield the same result, which is 0.015.