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- [math]6/3\,[/math] or [math]\frac 63[/math] or [math]6 \div 3.[/math]
Each, of those three, means "6 divided by 3" giving 2 as the answer. The first number is the dividend (6), and the second number is the divisor (3). The result (or answer) is the quotient. Whole numbers, any left-over amount is called the "remainder" (such as 14/4 gives 3 with the remainer as 2, as the number 3, same as 2⁄43 or 3.5). 1⁄2
If c times b equals a, written as:
- [math]c \times b = a[/math]
where b is not zero, then a divided by b equals c, written as:
- [math]\frac ab = c[/math]
- [math]\frac 63 = 2[/math]
- [math]2 \times 3 = 6[/math].
In the above expression, a is called the dividend, b the divisor and c the quotient.
- [math]\frac x0 = ?[/math]
...is not defined.
Division is most often shown by placing the dividend over the divisor with a horizontal line, also called a vinculum, between them. For example, a divided by b is written
- [math]\frac ab.[/math]
This can be read out loud as "a divided by b" or "a over b". A way to express division all on one line is to write the dividend, then a slash, then the divisor, like this:
This is the usual way to specify division in most computer programming languages since it can easily be typed as a simple sequence of characters.
A typographical variation which is halfway between these two forms uses a slash but elevates the dividend, and lowers the divisor:
- a⁄b .
Any of these forms can be used to display a fraction. A fraction is a division expression where both dividend and divisor are integers (although typically called the numerator and denominator). A fraction is an accepted way of writing numbers. It is not always expected that the result of the division is written in decimals.
A less common way to show division is to use the obelus (or division sign) in this manner:
- [math]a \div b.[/math]
But in elementary arithmetic this form is used rather often. The obelus is also used alone to represent the division operation itself, as for instance as a label on a key of a calculator.