What is x when 97 divided by x equals 37?

To find the answer, just divide the dividend by the quotient: 97 ÷ 37 = 2.6216216216216

To prove this, let's compute 97 divided by 2.6216216216216: $\frac{97}{2.6216216216216} = 37$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 37, is equivalent to solving the following equation:

$\frac{97}{x} = 37$

Multiply both sides by x: $\frac{97 x}{x} = 37 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 37 x$
To find x, divide both sides by 37: $\frac{97}{37} = \frac{37 x}{37}$
Which gives, after simplification: $2.6216216216216 = x$ (or $x = 2.6216216216216$ )

So, if the dividend is 97 and the quotient is 37, the divisor is 2.6216216216216.