What is x when 84 divided by x equals 52?

To find the answer, just divide the dividend by the quotient: 84 ÷ 52 = 1.6153846153846

To prove this, let's compute 84 divided by 1.6153846153846: $\frac{84}{1.6153846153846} = 52$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 52, is equivalent to solving the following equation:

$\frac{84}{x} = 52$

Multiply both sides by x: $\frac{84 x}{x} = 52 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 52 x$
To find x, divide both sides by 52: $\frac{84}{52} = \frac{52 x}{52}$
Which gives, after simplification: $1.6153846153846 = x$ (or $x = 1.6153846153846$ )

So, if the dividend is 84 and the quotient is 52, the divisor is 1.6153846153846.