What is x when 97 divided by x equals 65?

To find the answer, just divide the dividend by the quotient: 97 ÷ 65 = 1.4923076923077

To prove this, let's compute 97 divided by 1.4923076923077: $\frac{97}{1.4923076923077} = 65$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 65, is equivalent to solving the following equation:

$\frac{97}{x} = 65$

Multiply both sides by x: $\frac{97 x}{x} = 65 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 65 x$
To find x, divide both sides by 65: $\frac{97}{65} = \frac{65 x}{65}$
Which gives, after simplification: $1.4923076923077 = x$ (or $x = 1.4923076923077$ )

So, if the dividend is 97 and the quotient is 65, the divisor is 1.4923076923077.