What is x when 6 divided by x equals 61?

To find the answer, just divide the dividend by the quotient: 6 ÷ 61 = 0.098360655737705

To prove this, let's compute 6 divided by 0.098360655737705: $\frac{6}{0.098360655737705} = 61$

How does it work?

Asking what the value of x could be when 6 divided by x gives a result of 61, is equivalent to solving the following equation:

$\frac{6}{x} = 61$

Multiply both sides by x: $\frac{6 x}{x} = 61 x$
$\frac{6 x}{x}$ is equivalent to $\frac{x}{x} \times 6$ , which simplifies to $1 \times 6$ (or just $6$ ).
Thus, the equation becomes: $6 = 61 x$
To find x, divide both sides by 61: $\frac{6}{61} = \frac{61 x}{61}$
Which gives, after simplification: $0.098360655737705 = x$ (or $x = 0.098360655737705$ )

So, if the dividend is 6 and the quotient is 61, the divisor is 0.098360655737705.