What Is 3/87 as a Decimal + Solution With Free Steps

The fraction 3/87 as a decimal is equal to 0.034.

Decimals are just another way of representing fractions. There are two types which are terminating and non-terminating. Terminating decimals are those with a finite set of numbers after the decimal point.

3 87 as a decimal

While non-terminating decimal means it contains an infinite number of digits after the decimal point. The fraction 3/87 gives a non-terminating decimal.

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 3/87.


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 = 3

Divisor = 87

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 = 3 $\div$ 87

This is when we go through the Long Division solution to our problem.

3/87 Long Division Method

Figure 1

3/87 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 3 and 87, we can see how 3 is Smaller than 87, and to solve this division, we require that 3 be Bigger than 87.

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.

As the dividend is less than the divisor, the division is not possible. So we multiply it by 10 and get 30 as the new dividend. But it is still less than 87. Therefore by adding a zero to the quotient we again multiply it by 10 and finally, we get 300 as the dividend

Now, we begin solving for our dividend 300.

We take this 300 and divide it by 87; this can be done as follows:

 300 $\div$ 87 $\approx$ 3


87 x 3 = 261

This will lead to the generation of a Remainder equal to 300 – 261 = 39. Now this means we have to repeat the process by Converting the 39 into 39 and solving for that:

390 $\div$ 87 $\approx$ 4 


87 x 4 =348

Finally, we have a Quotient generated after combining the three pieces of it as 0.034, with a Remainder equal to 42.Pie Chart 3 by 87 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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