What is x when 89 divided by x equals 23?

To find the answer, just divide the dividend by the quotient: 89 ÷ 23 = 3.8695652173913

To prove this, let's compute 89 divided by 3.8695652173913: $\frac{89}{3.8695652173913} = 23$

How does it work?

Asking what the value of x could be when 89 divided by x gives a result of 23, is equivalent to solving the following equation:

$\frac{89}{x} = 23$

Multiply both sides by x: $\frac{89 x}{x} = 23 x$
$\frac{89 x}{x}$ is equivalent to $\frac{x}{x} \times 89$ , which simplifies to $1 \times 89$ (or just $89$ ).
Thus, the equation becomes: $89 = 23 x$
To find x, divide both sides by 23: $\frac{89}{23} = \frac{23 x}{23}$
Which gives, after simplification: $3.8695652173913 = x$ (or $x = 3.8695652173913$ )

So, if the dividend is 89 and the quotient is 23, the divisor is 3.8695652173913.