# What is 19/32 as a decimal?

## Want to practice?

### Solution

The long division method is used to convert fractions to their decimal form. The numerator of the fraction is the dividend and the denominator is the divisor.

The division is carried out till either a remainder of 0 is arrived at or the same remainder is repeated.

To start the division, identify the dividend and divisor from the given fraction. As stated above, the numerator 19 is the dividend, and the denominator, 32 is the divisor.

It can be seen that divisor 32 is greater than the dividend 19.

In such cases, it is not possible to divide. In order to make the division possible, we can place a decimal point in the quotient. This means that since 32 > 19, the answer we get is going to be less than 1.

After placing the decimal point, we can add 0 to 19 to make it 190. Find the number of times 32 divided 190 and subtract it from 190 to get the remainder.
Note that at each step we can add 0 to make the value divisible.

We can see that the remainder becomes 0 in the last step and the division can be ended.

$$\frac{\mathbf{19}}{\mathbf{32}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{59375}$$

## Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac{19}{32}$$, the number 19 is the dividend (our numerator)
• The number 32 is our divisor (our denominator)

Such a topic may be interesting for you: What is 9/10 as a decimal fraction?