What is x when 64 divided by x equals 66?

To find the answer, just divide the dividend by the quotient: 64 ÷ 66 = 0.96969696969697

To prove this, let's compute 64 divided by 0.96969696969697: $\frac{64}{0.96969696969697} = 66$

How does it work?

Asking what the value of x could be when 64 divided by x gives a result of 66, is equivalent to solving the following equation:

$\frac{64}{x} = 66$

Multiply both sides by x: $\frac{64 x}{x} = 66 x$
$\frac{64 x}{x}$ is equivalent to $\frac{x}{x} \times 64$ , which simplifies to $1 \times 64$ (or just $64$ ).
Thus, the equation becomes: $64 = 66 x$
To find x, divide both sides by 66: $\frac{64}{66} = \frac{66 x}{66}$
Which gives, after simplification: $0.96969696969697 = x$ (or $x = 0.96969696969697$ )

So, if the dividend is 64 and the quotient is 66, the divisor is 0.96969696969697.