What is x when 77 divided by x equals 59?

To find the answer, just divide the dividend by the quotient: 77 ÷ 59 = 1.3050847457627

To prove this, let's compute 77 divided by 1.3050847457627: $\frac{77}{1.3050847457627} = 59$

How does it work?

Asking what the value of x could be when 77 divided by x gives a result of 59, is equivalent to solving the following equation:

$\frac{77}{x} = 59$

Multiply both sides by x: $\frac{77 x}{x} = 59 x$
$\frac{77 x}{x}$ is equivalent to $\frac{x}{x} \times 77$ , which simplifies to $1 \times 77$ (or just $77$ ).
Thus, the equation becomes: $77 = 59 x$
To find x, divide both sides by 59: $\frac{77}{59} = \frac{59 x}{59}$
Which gives, after simplification: $1.3050847457627 = x$ (or $x = 1.3050847457627$ )

So, if the dividend is 77 and the quotient is 59, the divisor is 1.3050847457627.