# What Is 13/60 as a Decimal + Solution With Free Steps

**The fraction 13/60 as a decimal is equal to 0.216. **

**Long Division** is a method that is used to break large numbers into easy steps, thus, making a complex division much easy. Long division can be terminating or non-terminating. If the **Fraction** constitutes rational numbers, then division is terminating decimals.

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 **13/60.**

## 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 = 13**

**Divisor = 60**

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 = 13 $\div$ 60**

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

## 13/60 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 **13** and **60,** we can see how **13** is **Smaller** than **60,** and to solve this division, we require that 13 be **Bigger** than 60.

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 **13,** which after getting multiplied by **10** becomes** 130.**

*We take this 130 and divide it by 60; this can be done as follows:*

** 130 $\div$ 60 $\approx$ 2**

Where:

**60 x 2 = 120**

This will lead to the generation of a **Remainder** equal to **130 – 120 = 10**. Now this means we have to repeat the process by **Converting** the** 10** into **100** and solving for that:

**100 $\div$ 60 $\approx$ 1 **

Where:

**60 x 1 = 60**

This, therefore, produces another **Remainder** which is equal to** 100 – 60 = 40.** Now we must solve this problem to **Third Decimal Place** for accuracy, so we repeat the process with dividend **400.**

**400 $\div$ 60 $\approx$ 6**

Where:

**60 x 6= 360**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.216=z**, with a **Remainder** equal to **40.**

*Images/mathematical drawings are created with GeoGebra.*