What is x when 67 divided by x equals 64?

To find the answer, just divide the dividend by the quotient: 67 ÷ 64 = 1.046875

To prove this, let's compute 67 divided by 1.046875: $\frac{67}{1.046875} = 64$

How does it work?

Asking what the value of x could be when 67 divided by x gives a result of 64, is equivalent to solving the following equation:

$\frac{67}{x} = 64$

Multiply both sides by x: $\frac{67 x}{x} = 64 x$
$\frac{67 x}{x}$ is equivalent to $\frac{x}{x} \times 67$ , which simplifies to $1 \times 67$ (or just $67$ ).
Thus, the equation becomes: $67 = 64 x$
To find x, divide both sides by 64: $\frac{67}{64} = \frac{64 x}{64}$
Which gives, after simplification: $1.046875 = x$ (or $x = 1.046875$ )

So, if the dividend is 67 and the quotient is 64, the divisor is 1.046875.