Divided By

Welcome to divided by, our website explaining the division of two numbers x and y, mainly integers.

The division of any two numbers is commonly denoted as x / y; x is the dividend or numerator, and y ≠ 0 is the divisor or denominator.

The division symbol is usually a slash, as in our example, yet, the horizontal bar (–) and the obelus (÷), among others, can also be used to denote a division.

If both, x and y belong to ℤ, (in other words, either number is an integer also known as whole number), then the result q = x / y is a rational number, which is either terminating (has a finite number of decimal places), or is non-terminating and repeating.

If the division of x by y is non-terminating and non-repeating, then it can be concluded that q is an irrational number.



Let’s have a look at these examples:

  1. Supposed x = 3 and y = 4 we get q = 0.75, a rational number which is terminating.
  2. With x = 3 and y = 7 we obtain q = 0.42857142857142857142857142…, a rational number which is non-terminating and has the repeating pattern 428571, called repetend or reptend. Better than using an ellipsis is denoting the result with a vinculum, 0.428571, or using parenthesis such as our calculator which you can find further below.
  3. Assumed x = π, and y = 2, we get 1.57079632679489661923132169…, an irrational number (representing half the ratio of a circle’s circumference to its diameter).
In the next section we elaborate on integers, and there you can also find our calculator which is particularly useful for ratios which have a repeating sequence in the result.

Dividing Whole Numbers

Dividing whole numbers is what this site is mainly about. The basic operation tells us how many times the number x is contained within the number y.

Using a sheet of paper in combination with pen or pencil, x by y can be calculated using the short division method if the divisor is simple, else the long division algorithm has to be applied.

It gets a bit tricky for those rational number which have a repetend, but our calculator below can handle this nicely for you.

Just enter the denominator and the nominator in their designated fields, our tool then does the calculation for you on the fly.

To start over, overwrite your input or hit reset.

Calculator

Show Steps
50
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50 Remainder 0
Simply the Best Division Calculator and Information! Please ReTweet. Click To Tweet In the next paragraph we shed a light on the division of a fraction, and then answer the question what is 0 divided by 0, which is synonym with zero divided by zero. Ahead are the frequently asked questions in the context.

Division Symbol

Here we shows you five ways to write a divided by sign, in the order of prevalence:
  • x / y – slash notation
  • – fraction bar notation
  • x ÷ y – obelus notation
  • x : y – colon notation
  • x ̸ y – solidus notation

FAQs

How to type the division symbol?

TTo type the divide by symbol ÷ on a keyboard, hold down the Alt key and insert the sequence 0247 on the numeric keypad, then release the key.

Is a negative divided by a negative a positive?

Yes, a negative number divided by a negative number is a positive number.

What is the long division symbol called?

The long division symbol is known as division bracket or tableau. It separates the divisor from the dividend by a right parenthesis ) or vertical bar |, and the dividend from the quotient by a vinculum.

How to type the division symbol on Mac?

To type the divide by symbol ÷ on a Mac, press Option + / at the same time.

Is a negative divided by a positive a positive?

No, a negative number divided by a positive number makes a negative number.

How to type the division symbol on Chromebook?

To type the divide by symbol ÷ on a Chromebook: CTRL + SHIFT + U + 00F7.

What is the symbol for division in Excel?

To divide in Excel you’ll need to make use of the slash symbol (/) in your formula.

How to type the division symbol on laptop?

To insert a division symbol on a laptop, press the ALT key and type 0247 at the same time. Then release the ALT key.

What is the symbol for divided by on a keyboard?

In Windows, the ÷ sign is produced by Alt + 0247 on the number pad; in macOS, by Option + /.

How do you type a division sign?

Copy the ÷ from here and paste it where you need it.

What is the symbol for division?

The division sign (÷) consists of a short horizontal line with a dot above and another dot below; it’s sometimes called obelus.

How to type the division symbol on Mac?

On Mac, press Option + / keys, or switch the language input to Unicode Hex Input and type Option + 00F7.

Does a negative divided by a negative equal a positive?

Indeed, a negative divided by a negative does produce a positive number.

Is a positive divided by a negative a positive?

No, a positive number divided by a negative number is a negative number.

How to write out division?

There are five ways to write a division: 1) with a fraction bar, 2) x / y with a slash, 3) x ̸ y with a solidus, 4) x ÷ y with an obelus, 5) x : y with a colon.

Is a negative number divided by a negative number positive?

Yes, a negative number divided by a negative number is a positive number.

How to write out a division problem?

You can write a division problem as , x / y, x ̸ y , x ÷ y, or x : y.

What does ÷ mean?

The ÷ represents the division operation in mathematics.

Why is a negative divided by a negative a positive?

Because each negative sign means changing directions on the number line, a negative number divided by a negative number equals a positive number.

Is a positive divided by a positive a positive?

Yes, a positive number divided by a positive number is a positive number.

Dividing Fractions

The mathematical operation of dividing fractions is equivalent to multiplying the first fraction with the inverse of the second fraction (different from zero). We assume u,v,q,r ∈ ℤ:

So, u/v ÷ q/r = u/v * r/q = ur/vq, which equals x/y, for a certain pair (x,y) ∈ ℤ. If only one of the two, either the dividend or the divisor, is a quotient, divide the other number by 1 to have two fractions.

This essentially means that dividing fractions can be seen as the same thing as dividing whole numbers. For converting a fraction to decimal visit this site and check out its unique calculator.

Read on to learn what the division by zero means, followed by the summary of our article.

Divided by 0

The division by 0 is not defined for any x, including 0 divided by 0! The web is full of discussions regarding the division by 0, yet, fact is that divided by zero does not exist.

However, it is interesting what happens for q = x / y when y is approaching, but not reaching, 0. For any x ≠ 0 ∈ ℤ the value “explodes”; in mathematical terms is ±∞.

We recommend to you using our search for in the sidebar to find the result of many divisions we have already carried out. Just insert x divided by y with your specific values, and hit the go button.

You have reached the end of our article, in which you have learned about the division of two numbers in a nutshell. This image sums our content up:

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Further information about quotients can be found in the referenced URL below, and web addresses similar to this one are located in the recommended section in the sidebar.– Article written by Mark
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