What is x when 65 divided by x equals 26?

To find the answer, just divide the dividend by the quotient: 65 ÷ 26 = 2.5

To prove this, let's compute 65 divided by 2.5: $\frac{65}{2.5} = 26$

How does it work?

Asking what the value of x could be when 65 divided by x gives a result of 26, is equivalent to solving the following equation:

$\frac{65}{x} = 26$

Multiply both sides by x: $\frac{65 x}{x} = 26 x$
$\frac{65 x}{x}$ is equivalent to $\frac{x}{x} \times 65$ , which simplifies to $1 \times 65$ (or just $65$ ).
Thus, the equation becomes: $65 = 26 x$
To find x, divide both sides by 26: $\frac{65}{26} = \frac{26 x}{26}$
Which gives, after simplification: $2.5 = x$ (or $x = 2.5$ )

So, if the dividend is 65 and the quotient is 26, the divisor is 2.5.