What is x when 64 divided by x equals 14?

To find the answer, just divide the dividend by the quotient: 64 ÷ 14 = 4.5714285714286

To prove this, let's compute 64 divided by 4.5714285714286: $\frac{64}{4.5714285714286} = 14$

How does it work?

Asking what the value of x could be when 64 divided by x gives a result of 14, is equivalent to solving the following equation:

$\frac{64}{x} = 14$

Multiply both sides by x: $\frac{64 x}{x} = 14 x$
$\frac{64 x}{x}$ is equivalent to $\frac{x}{x} \times 64$ , which simplifies to $1 \times 64$ (or just $64$ ).
Thus, the equation becomes: $64 = 14 x$
To find x, divide both sides by 14: $\frac{64}{14} = \frac{14 x}{14}$
Which gives, after simplification: $4.5714285714286 = x$ (or $x = 4.5714285714286$ )

So, if the dividend is 64 and the quotient is 14, the divisor is 4.5714285714286.