What is x when 84 divided by x equals 42?

To find the answer, just divide the dividend by the quotient: 84 ÷ 42 = 2

To prove this, let's compute 84 divided by 2: $\frac{84}{2} = 42$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 42, is equivalent to solving the following equation:

$\frac{84}{x} = 42$

Multiply both sides by x: $\frac{84 x}{x} = 42 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 42 x$
To find x, divide both sides by 42: $\frac{84}{42} = \frac{42 x}{42}$
Which gives, after simplification: $2 = x$ (or $x = 2$ )

So, if the dividend is 84 and the quotient is 42, the divisor is 2.