What is x when 88 divided by x equals 13?

To find the answer, just divide the dividend by the quotient: 88 ÷ 13 = 6.7692307692308

To prove this, let's compute 88 divided by 6.7692307692308: $\frac{88}{6.7692307692308} = 13$

How does it work?

Asking what the value of x could be when 88 divided by x gives a result of 13, is equivalent to solving the following equation:

$\frac{88}{x} = 13$

Multiply both sides by x: $\frac{88 x}{x} = 13 x$
$\frac{88 x}{x}$ is equivalent to $\frac{x}{x} \times 88$ , which simplifies to $1 \times 88$ (or just $88$ ).
Thus, the equation becomes: $88 = 13 x$
To find x, divide both sides by 13: $\frac{88}{13} = \frac{13 x}{13}$
Which gives, after simplification: $6.7692307692308 = x$ (or $x = 6.7692307692308$ )

So, if the dividend is 88 and the quotient is 13, the divisor is 6.7692307692308.