What is x when 61 divided by x equals 100?

To find the answer, just divide the dividend by the quotient: 61 ÷ 100 = 0.61

To prove this, let's compute 61 divided by 0.61: $\frac{61}{0.61} = 100$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 100, is equivalent to solving the following equation:

$\frac{61}{x} = 100$

Multiply both sides by x: $\frac{61 x}{x} = 100 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 100 x$
To find x, divide both sides by 100: $\frac{61}{100} = \frac{100 x}{100}$
Which gives, after simplification: $0.61 = x$ (or $x = 0.61$ )

So, if the dividend is 61 and the quotient is 100, the divisor is 0.61.