What is x when 92 divided by x equals 16?

To find the answer, just divide the dividend by the quotient: 92 ÷ 16 = 5.75

To prove this, let's compute 92 divided by 5.75: $\frac{92}{5.75} = 16$

How does it work?

Asking what the value of x could be when 92 divided by x gives a result of 16, is equivalent to solving the following equation:

$\frac{92}{x} = 16$

Multiply both sides by x: $\frac{92 x}{x} = 16 x$
$\frac{92 x}{x}$ is equivalent to $\frac{x}{x} \times 92$ , which simplifies to $1 \times 92$ (or just $92$ ).
Thus, the equation becomes: $92 = 16 x$
To find x, divide both sides by 16: $\frac{92}{16} = \frac{16 x}{16}$
Which gives, after simplification: $5.75 = x$ (or $x = 5.75$ )

So, if the dividend is 92 and the quotient is 16, the divisor is 5.75.