What is x when 25 divided by x equals 38?

To find the answer, just divide the dividend by the quotient: 25 ÷ 38 = 0.65789473684211

To prove this, let's compute 25 divided by 0.65789473684211: $\frac{25}{0.65789473684211} = 38$

How does it work?

Asking what the value of x could be when 25 divided by x gives a result of 38, is equivalent to solving the following equation:

$\frac{25}{x} = 38$

Multiply both sides by x: $\frac{25 x}{x} = 38 x$
$\frac{25 x}{x}$ is equivalent to $\frac{x}{x} \times 25$ , which simplifies to $1 \times 25$ (or just $25$ ).
Thus, the equation becomes: $25 = 38 x$
To find x, divide both sides by 38: $\frac{25}{38} = \frac{38 x}{38}$
Which gives, after simplification: $0.65789473684211 = x$ (or $x = 0.65789473684211$ )

So, if the dividend is 25 and the quotient is 38, the divisor is 0.65789473684211.