What is x when 67 divided by x equals 14?

To find the answer, just divide the dividend by the quotient: 67 ÷ 14 = 4.7857142857143

To prove this, let's compute 67 divided by 4.7857142857143: $\frac{67}{4.7857142857143} = 14$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 14, is equivalent to solving the following equation:

$\frac{67}{x} = 14$

Multiply both sides by x: $\frac{67 x}{x} = 14 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 14 x$
To find x, divide both sides by 14: $\frac{67}{14} = \frac{14 x}{14}$
Which gives, after simplification: $4.7857142857143 = x$ (or $x = 4.7857142857143$ )

So, if the dividend is 67 and the quotient is 14, the divisor is 4.7857142857143.