# What Is 14/24 as a Decimal + Solution With Free Steps

**The fraction 14/24 as a decimal is equal to 0.583.**

The **long Division method** is the basic method of division that can be used to convert a **fraction** into its **decimal** form. The part before the point in the **decimal** form is the whole part of the fraction and the part after the point is the **fraction** of the whole.

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 **14/24**.

## 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 = 14**

**Divisor = 24**

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 = 14 $\div$ 24**

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

## 14/24 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 **14** and **24,** we can see how **14** is **Smaller** than **24**, and to solve this division, we require that 14 be **Bigger** than 24.

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 **14**, which after getting multiplied by **10** becomes **140**.

*We take this 140 and divide it by 24; this can be done as follows:*

** 140 $\div$ 24 $\approx$ 5**

Where:

**24 x 5 = 120**

This will lead to the generation of a **Remainder** equal to **140 – 120 = 20**. Now this means we have to repeat the process by **Converting** the **20** into **200** and solving for that:

**200 $\div$ 24 $\approx$ 8 **

Where:

**24 x 8 = 192**

This, therefore, produces another **Remainder** which is equal to **200 – 192 = 8**. Now we must solve this problem to **Third Decimal Place** for accuracy, so we repeat the process with dividend **80**.

**80 $\div$ 24 $\approx$ 3 **

Where:

**24 x 3 = 72**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.583**, with a **Remainder** equal to **8**.

*Images/mathematical drawings are created with GeoGebra.*