What is x when 67 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 67 ÷ 5 = 13.4

To prove this, let's compute 67 divided by 13.4: $\frac{67}{13.4} = 5$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{67}{x} = 5$

Multiply both sides by x: $\frac{67 x}{x} = 5 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 5 x$
To find x, divide both sides by 5: $\frac{67}{5} = \frac{5 x}{5}$
Which gives, after simplification: $13.4 = x$ (or $x = 13.4$ )

So, if the dividend is 67 and the quotient is 5, the divisor is 13.4.