What is x when 66 divided by x equals 37?

To find the answer, just divide the dividend by the quotient: 66 ÷ 37 = 1.7837837837838

To prove this, let's compute 66 divided by 1.7837837837838: $\frac{66}{1.7837837837838} = 37$

How does it work?

Asking what the value of x could be when 66 divided by x gives a result of 37, is equivalent to solving the following equation:

$\frac{66}{x} = 37$

Multiply both sides by x: $\frac{66 x}{x} = 37 x$
$\frac{66 x}{x}$ is equivalent to $\frac{x}{x} \times 66$ , which simplifies to $1 \times 66$ (or just $66$ ).
Thus, the equation becomes: $66 = 37 x$
To find x, divide both sides by 37: $\frac{66}{37} = \frac{37 x}{37}$
Which gives, after simplification: $1.7837837837838 = x$ (or $x = 1.7837837837838$ )

So, if the dividend is 66 and the quotient is 37, the divisor is 1.7837837837838.