What is x when 71 divided by x equals 4?

To find the answer, just divide the dividend by the quotient: 71 ÷ 4 = 17.75

To prove this, let's compute 71 divided by 17.75: $\frac{71}{17.75} = 4$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 4, is equivalent to solving the following equation:

$\frac{71}{x} = 4$

Multiply both sides by x: $\frac{71 x}{x} = 4 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 4 x$
To find x, divide both sides by 4: $\frac{71}{4} = \frac{4 x}{4}$
Which gives, after simplification: $17.75 = x$ (or $x = 17.75$ )

So, if the dividend is 71 and the quotient is 4, the divisor is 17.75.