What is x when 100 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 100 ÷ 16 = 6.25

To prove this, let's compute 100 divided by 6.25: $\frac{100}{6.25} = 16$

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{100}{x} = 16$

Multiply both sides by x: $\frac{100 x}{x} = 16 x$
$\frac{100 x}{x}$ is equivalent to $\frac{x}{x} \times 100$ , which simplifies to $1 \times 100$ (or just $100$ ).
Thus, the equation becomes: $100 = 16 x$
To find x, divide both sides by 16: $\frac{100}{16} = \frac{16 x}{16}$
Which gives, after simplification: $6.25 = x$ (or $x = 6.25$ )

So, if the dividend is 100 and the quotient is 16, the divisor is 6.25.