What is x when 45 divided by x equals 6?

To find the answer, just divide the dividend by the quotient: 45 ÷ 6 = 7.5

To prove this, let's compute 45 divided by 7.5: $\frac{45}{7.5} = 6$

How does it work?

Asking what the value of x could be when 45 divided by x gives a result of 6, is equivalent to solving the following equation:

$\frac{45}{x} = 6$

Multiply both sides by x: $\frac{45 x}{x} = 6 x$
$\frac{45 x}{x}$ is equivalent to $\frac{x}{x} \times 45$ , which simplifies to $1 \times 45$ (or just $45$ ).
Thus, the equation becomes: $45 = 6 x$
To find x, divide both sides by 6: $\frac{45}{6} = \frac{6 x}{6}$
Which gives, after simplification: $7.5 = x$ (or $x = 7.5$ )

So, if the dividend is 45 and the quotient is 6, the divisor is 7.5.