What is x when 72 divided by x equals 6?

To find the answer, just divide the dividend by the quotient: 72 ÷ 6 = 12

To prove this, let's compute 72 divided by 12: $\frac{72}{12} = 6$

How does it work?

Asking what the value of x could be when 72 divided by x gives a result of 6, is equivalent to solving the following equation:

$\frac{72}{x} = 6$

Multiply both sides by x: $\frac{72 x}{x} = 6 x$
$\frac{72 x}{x}$ is equivalent to $\frac{x}{x} \times 72$ , which simplifies to $1 \times 72$ (or just $72$ ).
Thus, the equation becomes: $72 = 6 x$
To find x, divide both sides by 6: $\frac{72}{6} = \frac{6 x}{6}$
Which gives, after simplification: $12 = x$ (or $x = 12$ )

So, if the dividend is 72 and the quotient is 6, the divisor is 12.