What is x when 37 divided by x equals 97?

To find the answer, just divide the dividend by the quotient: 37 ÷ 97 = 0.38144329896907

To prove this, let's compute 37 divided by 0.38144329896907: $\frac{37}{0.38144329896907} = 97$

How does it work?

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

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

Multiply both sides by x: $\frac{37 x}{x} = 97 x$
$\frac{37 x}{x}$ is equivalent to $\frac{x}{x} \times 37$ , which simplifies to $1 \times 37$ (or just $37$ ).
Thus, the equation becomes: $37 = 97 x$
To find x, divide both sides by 97: $\frac{37}{97} = \frac{97 x}{97}$
Which gives, after simplification: $0.38144329896907 = x$ (or $x = 0.38144329896907$ )

So, if the dividend is 37 and the quotient is 97, the divisor is 0.38144329896907.