What is x when 71 divided by x equals 17?

To find the answer, just divide the dividend by the quotient: 71 ÷ 17 = 4.1764705882353

To prove this, let's compute 71 divided by 4.1764705882353: $\frac{71}{4.1764705882353} = 17$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 17, is equivalent to solving the following equation:

$\frac{71}{x} = 17$

Multiply both sides by x: $\frac{71 x}{x} = 17 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 17 x$
To find x, divide both sides by 17: $\frac{71}{17} = \frac{17 x}{17}$
Which gives, after simplification: $4.1764705882353 = x$ (or $x = 4.1764705882353$ )

So, if the dividend is 71 and the quotient is 17, the divisor is 4.1764705882353.