What is x when 100 divided by x equals 65?

To find the answer, just divide the dividend by the quotient: 100 ÷ 65 = 1.5384615384615

To prove this, let's compute 100 divided by 1.5384615384615: $\frac{100}{1.5384615384615} = 65$

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 65, is equivalent to solving the following equation:

$\frac{100}{x} = 65$

Multiply both sides by x: $\frac{100 x}{x} = 65 x$
$\frac{100 x}{x}$ is equivalent to $\frac{x}{x} \times 100$ , which simplifies to $1 \times 100$ (or just $100$ ).
Thus, the equation becomes: $100 = 65 x$
To find x, divide both sides by 65: $\frac{100}{65} = \frac{65 x}{65}$
Which gives, after simplification: $1.5384615384615 = x$ (or $x = 1.5384615384615$ )

So, if the dividend is 100 and the quotient is 65, the divisor is 1.5384615384615.