What is x when 78 divided by x equals 10?

In other words, what would the divisor be if the dividend were 78 and the quotient 10?

To find the answer, just divide the dividend by the quotient: 78 ÷ 10 = 7.8

To prove this, let's compute 78 divided by 7.8: 78 7.8 = 10

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 10, is equivalent to solving the following equation:

78 x = 10

  1. Multiply both sides by x: 78 x x = 10 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 = 10 x
  4. To find x, divide both sides by 10: 78 10 = 10 x 10
  5. Which gives, after simplification: 7.8 = x (or x = 7.8 )

So, if the dividend is 78 and the quotient is 10, the divisor is 7.8.