What is x when 92 divided by x equals 23?

To find the answer, just divide the dividend by the quotient: 92 ÷ 23 = 4

To prove this, let's compute 92 divided by 4: $\frac{92}{4} = 23$

How does it work?

Asking what the value of x could be when 92 divided by x gives a result of 23, is equivalent to solving the following equation:

$\frac{92}{x} = 23$

Multiply both sides by x: $\frac{92 x}{x} = 23 x$
$\frac{92 x}{x}$ is equivalent to $\frac{x}{x} \times 92$ , which simplifies to $1 \times 92$ (or just $92$ ).
Thus, the equation becomes: $92 = 23 x$
To find x, divide both sides by 23: $\frac{92}{23} = \frac{23 x}{23}$
Which gives, after simplification: $4 = x$ (or $x = 4$ )

So, if the dividend is 92 and the quotient is 23, the divisor is 4.