# What Is 43/100 as a Decimal + Solution With Free Steps

**The fraction 43/100 as a decimal is equal to 0.43.**

**Decimals** are the more precise solution to a division. Due to this reason, **fractions** are often converted to their decimal form. The fraction 43/100 gives a decimal up to **two** digits after the decimal point when solved via long division.

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 **43/100**.

## 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 seen done as follows:*

**Dividend = 43**

**Divisor = 100**

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 = 43 $\div$ 100**

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

## 43/100 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 **43**Â and **100,** we can see how **43** is **Smaller** than **100**, and to solve this division, we require that 43 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 **43**, which after getting multiplied by **10** becomes **430**.

*We take this 430 and divide it by 100; this can be seen done as follows:*

**Â 430 $\div$ 100 $\approx$ 4**

Where:

**100 x 4 = 400**

This will lead to the generation of a **Remainder** equal to **430 â€“ 400 = 30**. Now this means we have to repeat the process by **Converting** the **30** into **300**Â and solving for that:

**300 $\div$ 100 = 3Â **

Where:

**100 x 3 = 300**

This, therefore, produces another remainder which is equal to **300 â€“ 300 = 0.Â **It means there is no need for further division.

Finally, we have a **Quotient** generated after combining the two pieces of it as **0.43**, with a **Remainder** equal to **0**.

*Images/mathematical drawings are created with GeoGebra.*