What is x when 97 divided by x equals 40?

To find the answer, just divide the dividend by the quotient: 97 ÷ 40 = 2.425

To prove this, let's compute 97 divided by 2.425: $\frac{97}{2.425} = 40$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 40, is equivalent to solving the following equation:

$\frac{97}{x} = 40$

Multiply both sides by x: $\frac{97 x}{x} = 40 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 40 x$
To find x, divide both sides by 40: $\frac{97}{40} = \frac{40 x}{40}$
Which gives, after simplification: $2.425 = x$ (or $x = 2.425$ )

So, if the dividend is 97 and the quotient is 40, the divisor is 2.425.