# What Is 13/16 as a Decimal + Solution With Free Steps

**The fraction 13/16 as a decimal is equal to 0.8125.**

A fraction is most commonly expressed as p/q, and **Division** is what this fraction represents. Now, running division on these two numbers would lead to an equivalent **Decimal Value**. And to get this decimal value and run the division operation, we use a method called **Long Division**.

Here, we shall solve the fraction 13/16 using **Long Division** and find its equivalent decimal value.

## Solution

We first set up our fraction into a division representation and express these numbers p and q as the** Dividend** and **Divisor**, respectively. Hence, we get the following representation:

**Dividend = 13**

**Divisor = 16**

Now, we introduce the Quotient into the division, defined as its solution, given below:

**Quotient = Dividend $\div$ Divisor = 13 $\div$ 16**

Therefore, the **Long Division** solution to this problem can be seen given below:

Figure 1

## 13/16 Long Division Method

Here, we begin to solve our division, and we start with our original **Fraction **expressed as a division:

**13 $\div$ 16 **

This representation above tells a lot about the final **Quotient** of this fraction. We can see that the **Dividend** is smaller than the **Divisor** and that means the whole number of the decimal value would be **Zero **and the overall decimal value is smaller than 1.

Now, this is the moment when we go into detail about fractions and their divisions by talking about another quantity of great significance in the **Long Division**. This is the **Remainder**, defined as the number that is left as a result of an incomplete division.

It means that the divisor is not a **Factor** of the dividend and thus we rely on the value smaller but closest to the dividend when solving division.

Thus, when solving for 13/16 we get the resulting remainder of 2. This is done by introducing a zero to the right of the **Dividend** and getting a decimal point acting on the quotient. Thus, the dividend now becomes 130, and the **Quotient** gets to a 0.

**130 $\div$ 16 $\approx$ 8**

Where:

** 16 x 8 = 128 **

Hence, the remainder is given by 130 – 128 = 2.

As a **Remainder** is produced, we must repeat the process either until we have at least three to four values after the decimal point, or a** Factor **is found. Thus, we have 20 as the new dividend:

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

Where:

**16 x 1 = 16**

Which produces a remainder of 4, thus we carry on and introduce another zero:

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

Where:

**16 x 2 = 32 **

Now we have solved this problem up to the third value after the decimal, and our current answer is 0.812, but one may notice that the remainder produced now is 40 – 32 = 8. And that makes 80 after a zero.

Where:

**16 x 5 = 80 **

We have found the factor that concludes this division, and hence the Quotient becomes 0.8125 with no remainder.

*Images/mathematical drawings are created with GeoGebra.*