What is x when 17 divided by x equals 17?

To find the answer, just divide the dividend by the quotient: 17 ÷ 17 = 1

To prove this, let's compute 17 divided by 1: $\frac{17}{1} = 17$

How does it work?

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

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

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

So, if the dividend is 17 and the quotient is 17, the divisor is 1.