What is x when 72 divided by x equals 5?

To find the answer, just divide the dividend by the quotient: 72 ÷ 5 = 14.4

To prove this, let's compute 72 divided by 14.4: $\frac{72}{14.4} = 5$

How does it work?

Asking what the value of x could be when 72 divided by x gives a result of 5, is equivalent to solving the following equation:

$\frac{72}{x} = 5$

Multiply both sides by x: $\frac{72 x}{x} = 5 x$
$\frac{72 x}{x}$ is equivalent to $\frac{x}{x} \times 72$ , which simplifies to $1 \times 72$ (or just $72$ ).
Thus, the equation becomes: $72 = 5 x$
To find x, divide both sides by 5: $\frac{72}{5} = \frac{5 x}{5}$
Which gives, after simplification: $14.4 = x$ (or $x = 14.4$ )

So, if the dividend is 72 and the quotient is 5, the divisor is 14.4.