What is x when 78 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 78 ÷ 11 = 7.0909090909091

To prove this, let's compute 78 divided by 7.0909090909091: $\frac{78}{7.0909090909091} = 11$

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{78}{x} = 11$

Multiply both sides by x: $\frac{78 x}{x} = 11 x$
$\frac{78 x}{x}$ is equivalent to $\frac{x}{x} \times 78$ , which simplifies to $1 \times 78$ (or just $78$ ).
Thus, the equation becomes: $78 = 11 x$
To find x, divide both sides by 11: $\frac{78}{11} = \frac{11 x}{11}$
Which gives, after simplification: $7.0909090909091 = x$ (or $x = 7.0909090909091$ )

So, if the dividend is 78 and the quotient is 11, the divisor is 7.0909090909091.