What is x when 56 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 56 ÷ 8 = 7

To prove this, let's compute 56 divided by 7: $\frac{56}{7} = 8$

How does it work?

Asking what the value of x could be when 56 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{56}{x} = 8$

Multiply both sides by x: $\frac{56 x}{x} = 8 x$
$\frac{56 x}{x}$ is equivalent to $\frac{x}{x} \times 56$ , which simplifies to $1 \times 56$ (or just $56$ ).
Thus, the equation becomes: $56 = 8 x$
To find x, divide both sides by 8: $\frac{56}{8} = \frac{8 x}{8}$
Which gives, after simplification: $7 = x$ (or $x = 7$ )

So, if the dividend is 56 and the quotient is 8, the divisor is 7.