What is x when 69 divided by x equals 25?

To find the answer, just divide the dividend by the quotient: 69 ÷ 25 = 2.76

To prove this, let's compute 69 divided by 2.76: $\frac{69}{2.76} = 25$

How does it work?

Asking what the value of x could be when 69 divided by x gives a result of 25, is equivalent to solving the following equation:

$\frac{69}{x} = 25$

Multiply both sides by x: $\frac{69 x}{x} = 25 x$
$\frac{69 x}{x}$ is equivalent to $\frac{x}{x} \times 69$ , which simplifies to $1 \times 69$ (or just $69$ ).
Thus, the equation becomes: $69 = 25 x$
To find x, divide both sides by 25: $\frac{69}{25} = \frac{25 x}{25}$
Which gives, after simplification: $2.76 = x$ (or $x = 2.76$ )

So, if the dividend is 69 and the quotient is 25, the divisor is 2.76.