# What Is 1/98 as a Decimal + Solution With Free Steps

**The fraction 1/98 as a decimal is equal to 0.010.**

The mathematical operation of **division** produces either an integer or decimal value as its result. An **integer** result is produced when the** dividend** is both greater than and a multiple of the divisor. If either of these is not the case, it produces a **decimal** result.

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 **1/98**.

## 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 = 1**

**Divisor = 98**

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 = 1 $\div$ 98**

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

## 1/98 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 **1**Â and **98,** we can see how **1** is **Smaller** than **98**, and to solve this division, we require that 1 be **Bigger** than 98.

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.

In our case, however, multiplying 1 by 10 gets us 10, which is still smaller than 98. Therefore, we **multiply again by 10** to get **10 x 10 =** **100**, which is now larger than 98. To indicate this second multiplication by 10, we add aÂ **0** directly after the **decimal point** in theÂ quotient.

Now, we begin solving for our dividend **1**, which after getting multiplied by **10** becomes **100**.

*We take this 100 and divide it by 98; this can be done as follows:*

**Â 100 $\div$ 98 $\approx$ 1**

Where:

**98 x 1 = 98**

This will lead to the generation of a **Remainder** equal to **100 â€“ 98 = 2**. Now this means we have to repeat the process by **Converting** the **2** into **20**Â and solving for that:

**20 $\div$ 98 $\approx$ 0Â **

Where we multiply by 0 since 20 is smaller than 98:

**98 x 0 = 0**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.010**, with a **Remainder** equal to **20**.