# What Is 59/99 as a Decimal + Solution With Free Steps

**The fraction 59/99 as a decimal is equal to 0.595.**

Let us take a pizza, we can **divide** this pizza into **8 equal parts**. Taking **1 part** of this pizza, we are left with **7/8 of the pizza**. This 7/8 value is called a **fraction,** where **8** is the total parts of the pizza and** 7** is the part left 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 **59/99**.

## 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 = 59**

**Divisor = 99**

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 = 59 $\div$ 99**

This is when we go through the **Long Division** solution to our problem. Given is the Long division process in Figure 1:

## 59/99 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 **59** and **99,** we can see how **59** is **Smaller** than **99**, and to solve this division, we require that 59 be **Bigger** than 99.

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 **59**, which after getting multiplied by **10** becomes **590**.

*We take this 590 and divide it by 99; this can be done as follows:*

** 590 $\div$ 99 $\approx$ 5**

Where:

**99 x 5 = 495**

This will lead to the generation of a **Remainder** equal to **590– 495 = 95**. Now this means we have to repeat the process by **Converting** the **95** into **950 **and solving for that:

**950 $\div$ 99 $\approx$ 9 **

Where:

**99 x 9 = 891**

This, therefore, produces another **Remainder** which is equal to **950 – 891 = 59**. Now we must solve this problem to the **Third Decimal Place** for accuracy, so we repeat the process with dividend **590**.

**590 $\div$ 99 $\approx$ 5**

Where:

**99 x 5 = 495**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.595**, with a **Remainder** equal to **95.**

*Images/mathematical drawings are created with GeoGebra.*