# What Is 8/25 as a Decimal + Solution With Free Steps

**The fraction 8/25 as a decimal is equal to 0.32.**

In the form of p/q, a fraction is an expression that can be used to indicate the relationship between two integers.

A**Â Fraction**Â is a name for the mathematical representation of something divided into two or more portions or parts. For example, theÂ **Denominator**Â and theÂ **Numerator**Â are the two parts of a fraction. Usually, solving fractions using multiples other than their fractional representations is difficult. But turning them into division is a simple solution.

Instead of using the Multiples method in this case, we solve these fractions using theÂ **Long Division**Â method. Finally, we receive the outcome using this method in decimal values.

So here, we are using theÂ **Long division** method to find the decimal equivalent of the fraction **8/25** in this problem.

## Solution

TheÂ **Dividend**, which is being divided, and theÂ **Divisor**, which is the number performing the dividing, are the first two parts of our fraction that we shall dissect. The procedure is as follows:

**Dividend = 8**

**Divisor = 25**

Quotient and Remainder are two more division-specific terminologies that might be used. The result of dividing is the solution orÂ **Quotient**.

It can be stated as follows:

**Quotient = Dividend $\div$ Divisor = 8 $\div$ 25**

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The** Remainder**, on the other hand, stands for a term that is left over after partial division. And the remainder is also used as a dividend for upcoming iterations in the division.

Let’s get into the Long Division solution of our fraction **8/25** as we are using this technique to solve this division:

Figure 1

## 8/25 Long Division Method

The first step in applying the long division method to solve a fraction is to represent the fraction as a division:

**8 $\div$ 25**

First, determining if the Dividend is greater than the Divisor is the first step in long division. We have to use a decimal point if the divisor is greater. We must add a zero to the dividend’s right to achieve this. If the dividend is greater, we can omit the decimal point.

In the above scenario, **8** is smaller than **25**, which means the Divisor is smaller than the Dividend. Hence we require a Decimal Point to proceed.

So next, add a **0** to the dividend and a decimal to the quotient as follows:

**80 $\div$ 25 $\approx$ 3**

Where:

**25 x 3 = 75Â **

To determine the Remainder, subtract the two values given below:

**80 â€“ 75 =5**

As a remainder 5 is obtained, the procedure is repeated by adding zero to dividends right and making it **50**:

**50 $\div$ 25 = 2**

Where:

**25 x 2 = 50Â **

Reminder:

**25 â€“ 25 = 0**

As a result of this division, we have 0 remainders. Therefore, it signifies that the fraction has been completely solved and that no more operations are required.Â As a result, we have a Quotient ofÂ **0.32**Â with no remainder.

*Images/mathematical drawings are created with GeoGebra.*