What is x when 53 divided by x equals 77?

To find the answer, just divide the dividend by the quotient: 53 ÷ 77 = 0.68831168831169

To prove this, let's compute 53 divided by 0.68831168831169: $\frac{53}{0.68831168831169} = 77$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 77, is equivalent to solving the following equation:

$\frac{53}{x} = 77$

Multiply both sides by x: $\frac{53 x}{x} = 77 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 77 x$
To find x, divide both sides by 77: $\frac{53}{77} = \frac{77 x}{77}$
Which gives, after simplification: $0.68831168831169 = x$ (or $x = 0.68831168831169$ )

So, if the dividend is 53 and the quotient is 77, the divisor is 0.68831168831169.