What Is 71/100 as a Decimal + Solution With Free Steps

The fraction 71/100 as a decimal is equal to 0.71.

Long division is a mathematical operation that enables you to solve challenging and intricate division-related problems. The Long division approach simplifies difficult division by breaking enormous numbers into manageable pieces.

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.

71 100 as a decimal

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 71/100.


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 = 71

Divisor = 100

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 = 71 $\div$ 100

This is when we go through the Long Division solution to our problem. Figure 1 shows how Long Division is done:

71/100 Long Division Method

Figure 1

71/100 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 71 and 100, we can see how 71 is Smaller than 100, and to solve this division, we require that 71 be Bigger than 100.

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 71, which after getting multiplied by 10 becomes 710.

We take this 710 and divide it by 100; this can be done as follows:

 710 $\div$ 100 $\approx$ 7


100 x 7 = 700

This will lead to the generation of a Remainder equal to 710 – 700 = 10. Now this means we have to repeat the process by Converting the 10 into 100 and solving for that:

100 $\div$ 100 $=$ 1 


100 x 1 = 100

This, therefore, produces another Remainder which is equal to 100 – 100 = 0.

Finally, we have a Quotient generated after combining the three pieces of it as 0.71=z, with a Remainder equal to 0.

71 100 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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