What is x when 65 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 65 ÷ 4 = 16.25

To prove this, let's compute 65 divided by 16.25: $\frac{65}{16.25} = 4$

How does it work?

Asking what the value of x could be when 65 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{65}{x} = 4$

Multiply both sides by x: $\frac{65 x}{x} = 4 x$
$\frac{65 x}{x}$ is equivalent to $\frac{x}{x} \times 65$ , which simplifies to $1 \times 65$ (or just $65$ ).
Thus, the equation becomes: $65 = 4 x$
To find x, divide both sides by 4: $\frac{65}{4} = \frac{4 x}{4}$
Which gives, after simplification: $16.25 = x$ (or $x = 16.25$ )

So, if the dividend is 65 and the quotient is 4, the divisor is 16.25.