What is x when 72 divided by x equals 24?

To find the answer, just divide the dividend by the quotient: 72 ÷ 24 = 3

To prove this, let's compute 72 divided by 3: $\frac{72}{3} = 24$

How does it work?

Asking what the value of x could be when 72 divided by x gives a result of 24, is equivalent to solving the following equation:

$\frac{72}{x} = 24$

Multiply both sides by x: $\frac{72 x}{x} = 24 x$
$\frac{72 x}{x}$ is equivalent to $\frac{x}{x} \times 72$ , which simplifies to $1 \times 72$ (or just $72$ ).
Thus, the equation becomes: $72 = 24 x$
To find x, divide both sides by 24: $\frac{72}{24} = \frac{24 x}{24}$
Which gives, after simplification: $3 = x$ (or $x = 3$ )

So, if the dividend is 72 and the quotient is 24, the divisor is 3.