What is x when 69 divided by x equals 64?

To find the answer, just divide the dividend by the quotient: 69 ÷ 64 = 1.078125

To prove this, let's compute 69 divided by 1.078125: $\frac{69}{1.078125} = 64$

How does it work?

Asking what the value of x could be when 69 divided by x gives a result of 64, is equivalent to solving the following equation:

$\frac{69}{x} = 64$

Multiply both sides by x: $\frac{69 x}{x} = 64 x$
$\frac{69 x}{x}$ is equivalent to $\frac{x}{x} \times 69$ , which simplifies to $1 \times 69$ (or just $69$ ).
Thus, the equation becomes: $69 = 64 x$
To find x, divide both sides by 64: $\frac{69}{64} = \frac{64 x}{64}$
Which gives, after simplification: $1.078125 = x$ (or $x = 1.078125$ )

So, if the dividend is 69 and the quotient is 64, the divisor is 1.078125.