What is x when 69 divided by x equals 23?

To find the answer, just divide the dividend by the quotient: 69 ÷ 23 = 3

To prove this, let's compute 69 divided by 3: $\frac{69}{3} = 23$

How does it work?

Asking what the value of x could be when 69 divided by x gives a result of 23, is equivalent to solving the following equation:

$\frac{69}{x} = 23$

Multiply both sides by x: $\frac{69 x}{x} = 23 x$
$\frac{69 x}{x}$ is equivalent to $\frac{x}{x} \times 69$ , which simplifies to $1 \times 69$ (or just $69$ ).
Thus, the equation becomes: $69 = 23 x$
To find x, divide both sides by 23: $\frac{69}{23} = \frac{23 x}{23}$
Which gives, after simplification: $3 = x$ (or $x = 3$ )

So, if the dividend is 69 and the quotient is 23, the divisor is 3.