# What is a private number?

Most people who graduated from the middlea comprehensive school, have a fairly good idea of what is a particular number in mathematics. But nevertheless, let's give a definition to this term.

## Private number: value

A particular number is a mathematical value obtained by dividing one number by another. Private shows us how many times one number is greater than the other.

If we write the operation of division in the form of a simple formula

- a: b = c,

then a is a "dividend" in it, b is a "divisor", and c is a "private" one.

Let us also consider an example with specific figures. If we divide the number 39 by 3, then in the answer we get the number 13. In this case, 13 is a quotient, the result of dividing the number 39 by 3. In other words, the number 39 is more than the number 3, 13 times.

And let's think, is it really so? To understand whether we made a mistake or not, we will perform a check and perform the opposite of the division. As you probably already guessed, this is multiplication. Multiply the number 13 by 3. The answer is 39. We were not mistaken.

Integer numbers are quite easy to divide. But with the fractional will be more difficult. Read the special article How to split fractions.

## Incomplete private

On the above mathematical example, you cansay that the number 3 is contained in the number 39 exactly 13 times. However, in most real cases, such a beautiful and simple answer can not be obtained. How many times, for example, is the number 3 in the number 40?

This mathematical operation is written as follows:

- 40: 3 = 13 (1).

What does this record mean? The number 3 is contained in the number 40 also 13 times, but the remainder is equal to 1. In this case, the number 13 is called "incomplete quotient", and the number 1 is called the "remainder of division".