What is x when 84 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 84 ÷ 13 = 6.4615384615385

To prove this, let's compute 84 divided by 6.4615384615385: $\frac{84}{6.4615384615385} = 13$

How does it work?

Asking what the value of x could be when 84 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{84}{x} = 13$

Multiply both sides by x: $\frac{84 x}{x} = 13 x$
$\frac{84 x}{x}$ is equivalent to $\frac{x}{x} \times 84$ , which simplifies to $1 \times 84$ (or just $84$ ).
Thus, the equation becomes: $84 = 13 x$
To find x, divide both sides by 13: $\frac{84}{13} = \frac{13 x}{13}$
Which gives, after simplification: $6.4615384615385 = x$ (or $x = 6.4615384615385$ )

So, if the dividend is 84 and the quotient is 13, the divisor is 6.4615384615385.