What is x when 78 divided by x equals 24?

To find the answer, just divide the dividend by the quotient: 78 ÷ 24 = 3.25

To prove this, let's compute 78 divided by 3.25: $\frac{78}{3.25} = 24$

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 24, is equivalent to solving the following equation:

$\frac{78}{x} = 24$

Multiply both sides by x: $\frac{78 x}{x} = 24 x$
$\frac{78 x}{x}$ is equivalent to $\frac{x}{x} \times 78$ , which simplifies to $1 \times 78$ (or just $78$ ).
Thus, the equation becomes: $78 = 24 x$
To find x, divide both sides by 24: $\frac{78}{24} = \frac{24 x}{24}$
Which gives, after simplification: $3.25 = x$ (or $x = 3.25$ )

So, if the dividend is 78 and the quotient is 24, the divisor is 3.25.