What is x when 64 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 64 ÷ 16 = 4

To prove this, let's compute 64 divided by 4: $\frac{64}{4} = 16$

How does it work?

Asking what the value of x could be when 64 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{64}{x} = 16$

Multiply both sides by x: $\frac{64 x}{x} = 16 x$
$\frac{64 x}{x}$ is equivalent to $\frac{x}{x} \times 64$ , which simplifies to $1 \times 64$ (or just $64$ ).
Thus, the equation becomes: $64 = 16 x$
To find x, divide both sides by 16: $\frac{64}{16} = \frac{16 x}{16}$
Which gives, after simplification: $4 = x$ (or $x = 4$ )

So, if the dividend is 64 and the quotient is 16, the divisor is 4.