# What Is 20/36 as a Decimal + Solution With Free Steps

**The fraction 20/36 as a decimal is equal to 0.555555555.**

The** Division** is a mathematical operation that is used to calculate **Fractions**. We translate fractions to **Decimal** numbers to make them simpler to comprehend. A fraction when solved completely using division can be converted into a decimal number.

Here, we are more interested in the division types that result in a **Decimal** value, as this can be expressed as a **Fraction**. We see fractions as a way of showing two numbers having the operation of **Division** between them that result in a value that lies between two **Integers**.

Now, we introduce the method used to solve said fraction to decimal conversion, called **Long Division, **which we will discuss in detail moving forward. So, let’s go through the **Solution** of fraction **20/36**.

## Solution

First, we convert the fraction components, i.e., the numerator and the denominator, and transform them into the division constituents, i.e., the **Dividend** and the **Divisor,** respectively.

* This can be done as follows:*

**Dividend = 20**

**Divisor = 36**

Now, we introduce the most important quantity in our division process: the **Quotient**. The value represents the **Solution** to our division and can be expressed as having the following relationship with the **Division** constituents:

**Quotient = Dividend $\div$ Divisor = 20 $\div$ 36**

This is when we go through the **Long Division** solution to our problem.

## 20/36 Long Division Method

We start solving a problem using the **Long Division Method** by first taking apart the division’s components and comparing them. As we have **20 **and **36,** we can see how **20 **is **Smaller** than **36**, and to solve this division, we require that 20 be **Bigger** than 36.

This is done by **multiplying** the dividend by **10** and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor closest to the dividend and subtract it from the **Dividend**. This produces the **Remainder,** which we then use as the dividend later.

Now, we begin solving for our dividend **20**, which after getting multiplied by **10** becomes **200**.

*We take this 200 and divide it by 36; this can be done as follows:*

** 200 $\div$ 36 $\approx$ 5**

Where:

**36 x 5 = 180**

This will lead to the generation of a **Remainder** equal to **200 – 180 = 20**. Now this means we have to repeat the process by **Converting** the **20 **into **200 **and solving for that:

**200 $\div$ 36 $\approx$ 5 **

Where:

**36 x 5 = 180**

This, therefore, produces another **Remainder** which is equal to **200– 180 = 20**.

Finally, we have a **Quotient** generated after combining the pieces of it as **0.55=z**, with a **Remainder** equal to **20**.

*Images/mathematical drawings are created with GeoGebra.*