What is x when 52 divided by x equals 77?

To find the answer, just divide the dividend by the quotient: 52 ÷ 77 = 0.67532467532468

To prove this, let's compute 52 divided by 0.67532467532468: $\frac{52}{0.67532467532468} = 77$

How does it work?

Asking what the value of x could be when 52 divided by x gives a result of 77, is equivalent to solving the following equation:

$\frac{52}{x} = 77$

Multiply both sides by x: $\frac{52 x}{x} = 77 x$
$\frac{52 x}{x}$ is equivalent to $\frac{x}{x} \times 52$ , which simplifies to $1 \times 52$ (or just $52$ ).
Thus, the equation becomes: $52 = 77 x$
To find x, divide both sides by 77: $\frac{52}{77} = \frac{77 x}{77}$
Which gives, after simplification: $0.67532467532468 = x$ (or $x = 0.67532467532468$ )

So, if the dividend is 52 and the quotient is 77, the divisor is 0.67532467532468.