What is x when 24 divided by x equals 15?

To find the answer, just divide the dividend by the quotient: 24 ÷ 15 = 1.6

To prove this, let's compute 24 divided by 1.6: $\frac{24}{1.6} = 15$

How does it work?

Asking what the value of x could be when 24 divided by x gives a result of 15, is equivalent to solving the following equation:

$\frac{24}{x} = 15$

Multiply both sides by x: $\frac{24 x}{x} = 15 x$
$\frac{24 x}{x}$ is equivalent to $\frac{x}{x} \times 24$ , which simplifies to $1 \times 24$ (or just $24$ ).
Thus, the equation becomes: $24 = 15 x$
To find x, divide both sides by 15: $\frac{24}{15} = \frac{15 x}{15}$
Which gives, after simplification: $1.6 = x$ (or $x = 1.6$ )

So, if the dividend is 24 and the quotient is 15, the divisor is 1.6.