What is x when 17 divided by x equals 77?

To find the answer, just divide the dividend by the quotient: 17 ÷ 77 = 0.22077922077922

To prove this, let's compute 17 divided by 0.22077922077922: $\frac{17}{0.22077922077922} = 77$

How does it work?

Asking what the value of x could be when 17 divided by x gives a result of 77, is equivalent to solving the following equation:

$\frac{17}{x} = 77$

Multiply both sides by x: $\frac{17 x}{x} = 77 x$
$\frac{17 x}{x}$ is equivalent to $\frac{x}{x} \times 17$ , which simplifies to $1 \times 17$ (or just $17$ ).
Thus, the equation becomes: $17 = 77 x$
To find x, divide both sides by 77: $\frac{17}{77} = \frac{77 x}{77}$
Which gives, after simplification: $0.22077922077922 = x$ (or $x = 0.22077922077922$ )

So, if the dividend is 17 and the quotient is 77, the divisor is 0.22077922077922.