What is x when 82 divided by x equals 16?

In other words, what would the divisor be if the dividend were 82 and the quotient 16?

To find the answer, just divide the dividend by the quotient: 82 ÷ 16 = 5.125

To prove this, let's compute 82 divided by 5.125: 82 5.125 = 16

How does it work?

Asking what the value of x could be when 82 divided by x gives a result of 16, is equivalent to solving the following equation:

82 x = 16

  1. Multiply both sides by x: 82 x x = 16 x
  2. 82 x x is equivalent to x x × 82 , which simplifies to 1 × 82 (or just 82 ).
  3. Thus, the equation becomes: 82 = 16 x
  4. To find x, divide both sides by 16: 82 16 = 16 x 16
  5. Which gives, after simplification: 5.125 = x (or x = 5.125 )

So, if the dividend is 82 and the quotient is 16, the divisor is 5.125.