# What Is 5/16 as a Decimal + Solution With Free Steps

**The fraction 5/16 as a decimal is equal to 0.3125.**

**Fractions **are represented in **p/q**, where **p** is the numerator and **q** shows the denominator. The numerator and denominator are separated by the line, which is the division symbol.

**Division** seems like a difficult one among all the mathematical operations, but actually, it is not that tough because there is a solution to deal with this tough problem. The **Long Division **method can be used to deal with such challenging problems.

Here is the complete solution to solve the given fraction, i.e., 5/16, that will produce the decimal equivalent using the method called **Long Division.**

## Solution

First, it is important to separate the constituents of the fraction depending on the nature of their operation. When we have a fraction in **p/q, **the numerator is called the dividend and the denominator is known as divisor.

**Dividend = 5**

**Divisor = 16**

When we solve a fraction-based problem by the long division method, the result of the fraction in decimal form is referred to as the **Quotient**.

**Quotient = Dividend $\div$ Divisor = 5 $\div$ 16**

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

Figure 1

## 5/16 Long Division Method

By having a closer look at the **Long** Division method, the solution is seen below.

The fraction we had:

**5 $\div$ 16 **

As it can be seen that the denominator of **16** is greater than the numerator, which means we have to add the decimal point to the quotient first. So, by adding a decimal point, we can now **multiply** our **dividend** with **10** to proceed to our solution using the long division method.

There is a need for another term to be introduced here, which is the remaining part after the division and is referred to as **the ****Remainder****.**

So here the remainder is **5**, so we first add the **Decimal** **point** to the **Quotient** and then add the **Zero** to the **Remainder****’s right** to start our first step of the method:

**50 $\div$ 16 $\approx$ 3**

Where:

**16 x 3 = 48**

This indicates that a Remainder was also generated from this division, and it is equal to **50 – 48 = 2**.

So the remainder we have now from the previous step is **2**, so adding zero to its right will make it **20**, and this time there is no need to add the decimal point as it is already in the quotient.

**20 $\div$ 16 $\approx$ 1 **

Where:

** 16 x 1 = 16**

So, after this, the **Remainder** is equal to 4**.** By bringing in another zero to its right, it becomes **40**, so by solving this we get an answer in three decimal places:

**40 $\div$ 16 $\approx$ 2 **

Where:

** 16 x 2 = 32 **

Now the **remainder** is **8**, with a resulting **Quotient** of **0.312**.

*Images/mathematical** drawings are created with GeoGebra.*