**What Is 5/8 as a Decimal + Solution With Free Steps**

**The fraction 5/8 as a decimal is equal to 0.625.**

Division in mathematics is the process of splitting a number into equal parts and figuring out how many equal parts there are. Usually, division appears to be more complicated compared to other mathematical operations.

But there is a method to solve this seemingly difficult operation that makes it easy. The technique used to solve the given question is** Long Division.**

The mathematical procedure for splitting big numbers into smaller groups or pieces is known as long division. It is beneficial to simplify complex issues.

The given fraction of **5/8** will be solved here by the **Long Division** method to get its decimal equivalent.

**Solution**

To solve a fraction first, its components are separated based on their operations. While dividing, the number which is to be divided is represented as a **Dividend, **whereas a **Divisor** represents a number that divides the dividend. In the given problem, the dividend is **5** and the divisor is **8**.

After the complete division of a fraction, we get a **Quotient** that can be defined as the result of the division and a **Remainder **that represents the remaining value obtained due to incomplete division. In the given problem, we have:

**Dividend = 5**

**Divisor = 8**

**Quotient = Dividend $\div$ Divisor = 5 $\div$ 8 **

It can now be solved by the method of **Long Division**.

Figure 1

**5/8 Long Division Method**

Now we apply the technique of **Long Division **to solve this fraction__.__

We are given in the problem:

**5 $\div$ 8**

Here, **5** is the dividend, and **8** is the divisor. As **5** is less than **8**, so we need a **Decimal Point **to solve this fraction. For this purpose, we have to place a zero to the right of the **Remainder**, which is 5 in this case. After placing the zero, it becomes **50**. Then we solve as:

**50 $\div$ 8 $\approx$ 6**

Where:

**8 x 6 = 48**

It shows that a **Remainder** is produced in the result, which is equivalent to:

**50 – 48 = 2**

Since there is a remainder produced, we once more add a zero to the right of the remainder, but this time without the decimal point. Because the decimal value of Quotient already exists. Thus, we get **20** after inserting zero to the remainder’s right. Further calculations are done as:

** 20 $\div$ 8 $\approx$ 2 **

Where:

**8 x 2 = 16**

Now, we get **4** as a remainder, which becomes **40** after inserting another zero. Further computations can then be done as:

**40 $\div$ 8 $\approx$ 5 **

Where:

**8 x 5 = 40 **

This time, we get the value of **Quotient **as **0.625** and **Remainder** as **0**. This shows that no more calculations are needed and this is the accurate result of this division.

*Images/mathematical drawings are created with GeoGebra.*