What is x when 67 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 67 ÷ 13 = 5.1538461538462

To prove this, let's compute 67 divided by 5.1538461538462: $\frac{67}{5.1538461538462} = 13$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{67}{x} = 13$

Multiply both sides by x: $\frac{67 x}{x} = 13 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 13 x$
To find x, divide both sides by 13: $\frac{67}{13} = \frac{13 x}{13}$
Which gives, after simplification: $5.1538461538462 = x$ (or $x = 5.1538461538462$ )

So, if the dividend is 67 and the quotient is 13, the divisor is 5.1538461538462.