What is x when 78 divided by x equals 30?

In other words, what would the divisor be if the dividend were 78 and the quotient 30?

To find the answer, just divide the dividend by the quotient: 78 ÷ 30 = 2.6

To prove this, let's compute 78 divided by 2.6: 78 2.6 = 30

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 30, is equivalent to solving the following equation:

78 x = 30

  1. Multiply both sides by x: 78 x x = 30 x
  2. 78 x x is equivalent to x x × 78 , which simplifies to 1 × 78 (or just 78 ).
  3. Thus, the equation becomes: 78 = 30 x
  4. To find x, divide both sides by 30: 78 30 = 30 x 30
  5. Which gives, after simplification: 2.6 = x (or x = 2.6 )

So, if the dividend is 78 and the quotient is 30, the divisor is 2.6.