What is x when 65 divided by x equals 25?

To find the answer, just divide the dividend by the quotient: 65 ÷ 25 = 2.6

To prove this, let's compute 65 divided by 2.6: $\frac{65}{2.6} = 25$

How does it work?

Asking what the value of x could be when 65 divided by x gives a result of 25, is equivalent to solving the following equation:

$\frac{65}{x} = 25$

Multiply both sides by x: $\frac{65 x}{x} = 25 x$
$\frac{65 x}{x}$ is equivalent to $\frac{x}{x} \times 65$ , which simplifies to $1 \times 65$ (or just $65$ ).
Thus, the equation becomes: $65 = 25 x$
To find x, divide both sides by 25: $\frac{65}{25} = \frac{25 x}{25}$
Which gives, after simplification: $2.6 = x$ (or $x = 2.6$ )

So, if the dividend is 65 and the quotient is 25, the divisor is 2.6.