# What Is 3/16 as a Decimal + Solution With Free Steps

**The fraction 3/16 as a decimal is equal to 0.187.**

**Division** seems the most difficult one among all mathematical operations. But actually, it is not that tough because there is a solution to deal with this challenging problem. The method for solving the question in fraction form is called **Long Division**.

Here is the complete solution to solve the given fraction i.e., 3/16 that will produce the decimal equivalent using the method called **Long Division.**

## Solution

First, we will separate the constituents of the fraction depending on the nature of their operation. When a fraction is divided, the numerator is referred to as the **Dividend** and the denominator is known as **Divisor**, and this brings us to this result:

**Dividend = 3**

**Divisor = 16**

Now, we rearrange this fraction more descriptively by introducing the new term called **Quotient,** which is referred to as the result of the desired division.

**Quotient = Dividend $\div$ Divisor = 3 $\div$ 16**

Now, by using the Long Division method we can solve the problem by:

Figure 1

## 3/16 Long Division Method

You can take a closer look at the **Long Division Method** utilized to fix this issue by doing the following.

We had:

**3 $\div$ 16 **

We already know that 16 is greater than 3, thus you can’t divide this number without using a **decimal point**. We now insert a zero to the right of our **Remainder** to add the desired decimal point.

Another division-specific term, **Remainder**, is used to describe the value that remains after an incomplete division.

Since 4 is a remainder in this situation, we shall add the Zero to its right, and convert 4 to 40 in the process. So now, we determine:

**30 $\div$ 16 $\approx$ 1**

Where:

** 16 x 1 = 16 **

This indicates that a Remainder was also generated from this division, and it is equal to 30 – 16 = 14.

We repeat the operation after having a remainder from the **Division** and add a zero to the **Remainder’s right**. Given that the **Quotient** is already a decimal value in this situation, we won’t need to add another decimal point.

As the remainder from the previous step was 14, so by adding a** Zero** to its right it will give us 140. Now we can further solve it as follow:

**140 $\div$ 16 $\approx$ 8 **

Where:

**16 x 8 = 128 **

So, after this, the **Remainder** is equal to 12. Bringing in another zero to its right will give 120, so we must calculate the following to solve to three decimal places:

**120 $\div$ 16 $\approx$ 7 **

Where:

**16 x 7 = 112 **

We have a resulting **Quotient** equal to 0.187 with a **Remainder** of 8. This indicates that if we continue to solve, we might be able to obtain a more precise result.

*Images/mathematical drawings are created with GeoGebra.*