What is x when 17 divided by x equals 3?

To find the answer, just divide the dividend by the quotient: 17 ÷ 3 = 5.6666666666667

To prove this, let's compute 17 divided by 5.6666666666667: $\frac{17}{5.6666666666667} = 3$

How does it work?

Asking what the value of x could be when 17 divided by x gives a result of 3, is equivalent to solving the following equation:

$\frac{17}{x} = 3$

Multiply both sides by x: $\frac{17 x}{x} = 3 x$
$\frac{17 x}{x}$ is equivalent to $\frac{x}{x} \times 17$ , which simplifies to $1 \times 17$ (or just $17$ ).
Thus, the equation becomes: $17 = 3 x$
To find x, divide both sides by 3: $\frac{17}{3} = \frac{3 x}{3}$
Which gives, after simplification: $5.6666666666667 = x$ (or $x = 5.6666666666667$ )

So, if the dividend is 17 and the quotient is 3, the divisor is 5.6666666666667.