# Why does your math work

## Basic arithmetic: this is how division works

### Examples of division

Here are a few **Examples** for the **Division of numbers**. At the beginning even smaller numbers up to 10, in the last examples the numbers go beyond 10.

$6 \; : \; 3 \; = \; 2\;$

Let's imagine the task.

We have exactly **6 apples** bought from the supermarket. We want this with our two friends **share**so each of us **three** has the same number of apples. So we calculate them **6 apples through 3**. So it is checked how often the 3 fits into the 6. It's exactly 2 times. So everyone gets exactly 2 apples. We do the same with the other tasks. But it can also happen that you have a **rest** receive. We then write that as follows:

$ 7 \; : \; 2 \; = \; 3 \; Remainder \; $ 1

Here the $ 2 $ fits exactly $ 3 $ times into the $ 7 $, but there is still a $ 1 $ over, so the $ remainder \ remains; $ 1.

Further **Examples****the****division** are:

$ 5 \; : \; 3 \; = \; 1\; Remainder \; $ 2

$9 \; : \; 3 \; = \; 3\;$

$21 \; : \; 7 \; = \; 3\;$

$ 15 \; : \; 2 \; = \; 7 \; Remainder \; $ 1

$45 \; : \; 5 \; = \; 9\;$

### Written division

There is at the **division** also the possibility to divide in writing. The two numbers that are to be divided are written next to each other as always, but one calculates one below the other gradually. This is a very good method of finding the right one quickly, especially with large numbers **solution** get.

Let's take a look at those **written division** using an example:

In the figure we can see that the two numbers are written down first one after the other. The next step is to think about how many times the divisor is in that **first****number** fits. Since this is a $ 1 $, it doesn't even fit in. Thus we consider how often the divisor is in the first **two numbers** fits.

We find out that the number $ 4 $ fits exactly 2 times into the number 11, so it is one **rest** from $ 3 $ there. We enter this one line lower, here marked in $ \ textcolor {blue} {blue} $, and write the **next number** next to it, so here the $ \ textcolor {blue} {2} $. Now let's see how often that **divisor** fits into the number. It turns out exactly $ 8 times. So the answer to dividing $ 112 is \; : \; $ 4 exactly $ 28. There is no **rest**. This is how the **written****division**.

*To find out more about this topic, have a look at the Exercises!*

- Most programmers are difficult to speak to
- How does a university become neoliberal
- How is life after you bullied
- Are real clone iPhones good or bad
- How intelligent are postmodern intellectuals
- Do you think journalists are too negative
- Why do hermit crabs dig
- What was Vichy France
- What is the disadvantage of smiling
- What does your country look like
- What does it feel like in love
- Do you have Trump anxiety disorder?
- The HubSpot certification is worth it
- Which laptop do physicists use
- Is there a permanent cure for sinusitis
- Who are the top sponsorship experts
- What is horse starch in cars
- Why was Ireland never afforested again?
- Which Christmas ballet is the most famous
- Is the internal dialogue normal?
- Has Trump ever used a public toilet
- What do you think of MIGOS
- What is Teradata in SQL
- What is a print medium