What is x when 24 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 24 ÷ 10 = 2.4

To prove this, let's compute 24 divided by 2.4: $\frac{24}{2.4} = 10$

How does it work?

Asking what the value of x could be when 24 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{24}{x} = 10$

Multiply both sides by x: $\frac{24 x}{x} = 10 x$
$\frac{24 x}{x}$ is equivalent to $\frac{x}{x} \times 24$ , which simplifies to $1 \times 24$ (or just $24$ ).
Thus, the equation becomes: $24 = 10 x$
To find x, divide both sides by 10: $\frac{24}{10} = \frac{10 x}{10}$
Which gives, after simplification: $2.4 = x$ (or $x = 2.4$ )

So, if the dividend is 24 and the quotient is 10, the divisor is 2.4.