What is x when 96 divided by x equals 14?

To find the answer, just divide the dividend by the quotient: 96 ÷ 14 = 6.8571428571429

To prove this, let's compute 96 divided by 6.8571428571429: $\frac{96}{6.8571428571429} = 14$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 14, is equivalent to solving the following equation:

$\frac{96}{x} = 14$

Multiply both sides by x: $\frac{96 x}{x} = 14 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 14 x$
To find x, divide both sides by 14: $\frac{96}{14} = \frac{14 x}{14}$
Which gives, after simplification: $6.8571428571429 = x$ (or $x = 6.8571428571429$ )

So, if the dividend is 96 and the quotient is 14, the divisor is 6.8571428571429.