What is x when 97 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 97 ÷ 5 = 19.4

To prove this, let's compute 97 divided by 19.4: $\frac{97}{19.4} = 5$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{97}{x} = 5$

Multiply both sides by x: $\frac{97 x}{x} = 5 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 5 x$
To find x, divide both sides by 5: $\frac{97}{5} = \frac{5 x}{5}$
Which gives, after simplification: $19.4 = x$ (or $x = 19.4$ )

So, if the dividend is 97 and the quotient is 5, the divisor is 19.4.