What is x when 89 divided by x equals 78?

To find the answer, just divide the dividend by the quotient: 89 ÷ 78 = 1.1410256410256

To prove this, let's compute 89 divided by 1.1410256410256: $\frac{89}{1.1410256410256} = 78$

How does it work?

Asking what the value of x could be when 89 divided by x gives a result of 78, is equivalent to solving the following equation:

$\frac{89}{x} = 78$

Multiply both sides by x: $\frac{89 x}{x} = 78 x$
$\frac{89 x}{x}$ is equivalent to $\frac{x}{x} \times 89$ , which simplifies to $1 \times 89$ (or just $89$ ).
Thus, the equation becomes: $89 = 78 x$
To find x, divide both sides by 78: $\frac{89}{78} = \frac{78 x}{78}$
Which gives, after simplification: $1.1410256410256 = x$ (or $x = 1.1410256410256$ )

So, if the dividend is 89 and the quotient is 78, the divisor is 1.1410256410256.