What is x when 37 divided by x equals 53?

To find the answer, just divide the dividend by the quotient: 37 ÷ 53 = 0.69811320754717

To prove this, let's compute 37 divided by 0.69811320754717: $\frac{37}{0.69811320754717} = 53$

How does it work?

Asking what the value of x could be when 37 divided by x gives a result of 53, is equivalent to solving the following equation:

$\frac{37}{x} = 53$

Multiply both sides by x: $\frac{37 x}{x} = 53 x$
$\frac{37 x}{x}$ is equivalent to $\frac{x}{x} \times 37$ , which simplifies to $1 \times 37$ (or just $37$ ).
Thus, the equation becomes: $37 = 53 x$
To find x, divide both sides by 53: $\frac{37}{53} = \frac{53 x}{53}$
Which gives, after simplification: $0.69811320754717 = x$ (or $x = 0.69811320754717$ )

So, if the dividend is 37 and the quotient is 53, the divisor is 0.69811320754717.