What is x when 67 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 67 ÷ 4 = 16.75

To prove this, let's compute 67 divided by 16.75: $\frac{67}{16.75} = 4$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{67}{x} = 4$

Multiply both sides by x: $\frac{67 x}{x} = 4 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 4 x$
To find x, divide both sides by 4: $\frac{67}{4} = \frac{4 x}{4}$
Which gives, after simplification: $16.75 = x$ (or $x = 16.75$ )

So, if the dividend is 67 and the quotient is 4, the divisor is 16.75.