What is x when 84 divided by x equals 24?

To find the answer, just divide the dividend by the quotient: 84 ÷ 24 = 3.5

To prove this, let's compute 84 divided by 3.5: $\frac{84}{3.5} = 24$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 24, is equivalent to solving the following equation:

$\frac{84}{x} = 24$

Multiply both sides by x: $\frac{84 x}{x} = 24 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 24 x$
To find x, divide both sides by 24: $\frac{84}{24} = \frac{24 x}{24}$
Which gives, after simplification: $3.5 = x$ (or $x = 3.5$ )

So, if the dividend is 84 and the quotient is 24, the divisor is 3.5.