What is x when 38 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 38 ÷ 27 = 1.4074074074074

To prove this, let's compute 38 divided by 1.4074074074074: $\frac{38}{1.4074074074074} = 27$

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{38}{x} = 27$

Multiply both sides by x: $\frac{38 x}{x} = 27 x$
$\frac{38 x}{x}$ is equivalent to $\frac{x}{x} \times 38$ , which simplifies to $1 \times 38$ (or just $38$ ).
Thus, the equation becomes: $38 = 27 x$
To find x, divide both sides by 27: $\frac{38}{27} = \frac{27 x}{27}$
Which gives, after simplification: $1.4074074074074 = x$ (or $x = 1.4074074074074$ )

So, if the dividend is 38 and the quotient is 27, the divisor is 1.4074074074074.