What is x when 71 divided by x equals 56?

To find the answer, just divide the dividend by the quotient: 71 ÷ 56 = 1.2678571428571

To prove this, let's compute 71 divided by 1.2678571428571: $\frac{71}{1.2678571428571} = 56$

How does it work?

Asking what the value of x could be when 71 divided by x gives a result of 56, is equivalent to solving the following equation:

$\frac{71}{x} = 56$

Multiply both sides by x: $\frac{71 x}{x} = 56 x$
$\frac{71 x}{x}$ is equivalent to $\frac{x}{x} \times 71$ , which simplifies to $1 \times 71$ (or just $71$ ).
Thus, the equation becomes: $71 = 56 x$
To find x, divide both sides by 56: $\frac{71}{56} = \frac{56 x}{56}$
Which gives, after simplification: $1.2678571428571 = x$ (or $x = 1.2678571428571$ )

So, if the dividend is 71 and the quotient is 56, the divisor is 1.2678571428571.