# What Is 52/63 as a Decimal + Solution With Free Steps

The fraction 52/63 as a decimal is equal to 0.825.

A fraction is converted into decimal notation by using the division method. Decimals can be classified into different categories depending upon what type of digits occur after the decimal point. The fraction 52/63 is a recurring decimal fraction.

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,Â which we will discuss in detail moving forward. So, letâ€™s go through the Solution of fraction 52/63.

## 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 = 52

Divisor = 63

Now, we introduce the most important quantity in our division process: theÂ 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 = 52 $\div$ 63

This is when we go through the Long Division solution to our problem. The following figure shows the solution for fraction 52/63.

Figure 1

## 52/63 Long Division Method

We start solving a problem using the Long Division Method by first taking apart the divisionâ€™s components and comparing them. As we have 52Â and 63, we can see how 52 is Smaller than 63, and to solve this division, we require that 52 be Bigger than 63.

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 52, which after getting multiplied by 10 becomes 520.

We take this 520 and divide it by 63; this can be done as follows:

Â 520 $\div$ 63 $\approx$ 8

Where:

63 x 8 = 504

This will lead to the generation of a Remainder equal to 520 â€“ 504 = 16. Now this means we have to repeat the process by Converting the 16 into 160Â and solving for that:

160 $\div$ 63 $\approx$ 2

Where:

63 x 2 = 126

This, therefore, produces another Remainder which is equal to 160 â€“ 126 = 34. Now this means we have to repeat the process by Converting the 34 into 340Â and solving for that:

340 $\div$ 63 $\approx$ 5Â

Where:

63 x 5 = 315

Finally, we have a Quotient generated after combining the three pieces of it as 0.825, with a Remainder equal to 25.

Images/mathematical drawings are created with GeoGebra.