What is x when 18 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 18 ÷ 16 = 1.125

To prove this, let's compute 18 divided by 1.125: $\frac{18}{1.125} = 16$

How does it work?

Asking what the value of x could be when 18 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{18}{x} = 16$

Multiply both sides by x: $\frac{18 x}{x} = 16 x$
$\frac{18 x}{x}$ is equivalent to $\frac{x}{x} \times 18$ , which simplifies to $1 \times 18$ (or just $18$ ).
Thus, the equation becomes: $18 = 16 x$
To find x, divide both sides by 16: $\frac{18}{16} = \frac{16 x}{16}$
Which gives, after simplification: $1.125 = x$ (or $x = 1.125$ )

So, if the dividend is 18 and the quotient is 16, the divisor is 1.125.