**What Is 3/8 as a Decimal + Solution With Free Steps**

**The fraction 3/8 as a decimal is equal to 0.375.**

**The division **is one of four fundamental operations of mathematics. It is the process of splitting something up into pieces or being split up. The division is the inverse of multiplication. In the given problem, **Long Division** is used to solve a fraction of **3/8**.

**Solution**

To solve a given fraction first, the fraction components are separated according to their function. When dividing a fraction, the numerator is referred to as the **Dividend** and the denominator as the **Divisor**. Here dividend is **3** and the divisor is **8**. Thus, the fraction given in the question is represented as:

**Dividend = 3**

**Divisor = 8**

After completing the process of division, **Quotient** is used to represent its result, while **Remainder** is the remaining value that is obtained as a result of incomplete division.

**Quotient = Dividend $\div$ Divisor = 3 $\div$ 8**

Now, this fraction can be solved by using the method of **Long Division**

Figure 1

**3/8 Long Division Method**

**Long division** is a technique for the division of large numbers that divides the task into several sequential phases. Similar to conventional division problems, the dividend is divided by the divisor to get the quotient, and occasionally it also produces a remainder.

The method of **Long Division **to solve a given fraction can be understood as follows.

We had:

** 3 $\div$ 8 **

In long division, we check if the first digit of the dividend is greater than the divisor. As in the given example, dividend **3** is less than divisor **8**, so we need a **Decimal Point **to solve this fraction. For this purpose, we insert a zero to the right of the remainder.

In this case, **Remainder ****3** becomes **30** after inserting a zero to its right. Now, we divide 30 by **8**, which gives us the following result.

**30 $\div$ 8 $\approx$ 3**

Where:

**8 x 3 = 24**

It shows that a** Remainder** is produced due to this division, which is equal to **6**.

**30 – 24 = 6**

Since a remainder is produced, so we again insert a zero to the right of the remainder but without using the **Decimal point **because **Quotient** already has a decimal value.

The resulting value of the remainder of **6** will become **60** after plugging in a zero to its right. Now, the next step can be computed as:

**60 $\div$ 8 $\approx$ 7 **

Where:

**8 x 7 = 56 **

This time we have **4** as a **Remainder. **Insertion of another zero will give us **40**. The further calculation can be carried out as follows.

**40 $\div$ 8 $\approx$ 5 **

Where:

**8 x 5 = 40**

Now, the **Quotient **is **0.375** and the **Remainder** is **0**. This indicates that this is the accurate result of this division and there is no need to solve it further.

*Images/mathematical drawings are created with GeoGebra.*