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Dividing decimals

This page was translated from German with AI. It has not been checked by a native speaker. Original page in German

7,50 € for 3 children: how much does each get? You divide by natural numbers and by decimals.
📄 Open worksheet (PDF, German)

The video

In the video the division is done in a squared exercise book. The comma is moved in both numbers.

Subtitles are available in ten languages. Choose them at the bottom right of the video.

Contents of the video

  1. 0:00 Introduction
  2. 0:17 Divided by 10, 100, 1000
  3. 0:44 Divided by a natural number
  4. 1:20 Divided by a decimal
  5. 2:10 Careful, mistake!
  6. 2:35 Try it yourself

The most important points

Divided by 10, 100, 1000

The comma moves to the left: \(45{,}6 : 10 = 4{,}56\). If places are missing, you write zeros in front: \(3{,}2 : 100 = 0{,}032\).

Divided by 10: one place to the left.
Divided by 10: one place to the left.

Divided by a natural number

Divide in writing. When you bring down the first digit after the comma, you put the comma in the result: \(7{,}5 : 3 = 2{,}5\).

7{,}5 : 3 = 2{,}5. Each child gets 2,50 €.
\(7{,}5 : 3 = 2{,}5\). Each child gets 2,50 €.

Divided by a decimal

Move the comma in both numbers the same number of places to the right: \(4{,}8 : 0{,}6 = 48 : 6 = 8\). The result stays the same, as with \(12 : 4 = 120 : 40\).

2{,}56 : 0{,}8 = 25{,}6 : 8 = 3{,}2.
\(2{,}56 : 0{,}8 = 25{,}6 : 8 = 3{,}2\).

The worksheet

Here you can see the worksheet for the video (in German). First it explains everything again, then there are practice tasks at three levels. You can also open it as a PDF and print it.

📄 Open worksheet (PDF, German)

The worksheet – Page 1
Page 1/4
The worksheet – Page 2
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The worksheet – Page 3
Page 3/4
Show the worksheet solutions
The worksheet – Page 4
Page 4/4

Try it yourself

Task

Calculate: a) \(9{,}6 : 4\) b) \(1{,}2 : 0{,}3\)

Show solution

a) \(2{,}4\) b) \(12 : 3 = 4\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: Dezimalbrüche dividieren (durch 10, 100, 1000; durch eine natürliche Zahl; durch einen Dezimalbruch mit Kommaverschiebung). Stelle mir nacheinander fünf kurze Aufgaben. Warte immer auf meine Antwort. Sag mir dann, ob sie richtig ist, und erkläre kurz, warum. Benutze einfache deutsche Sätze.

How this was made: The idea, structure and examples of the series are mine. I made them with the help of AI: a language model (LLM) built the slides of the video following my instructions. The voice was generated with Qwen3-TTS, modelled on my own voice.

The subtitles, the translations, the worksheet and this page were also made with the help of AI. The translations have not been checked by native speakers.

The videos, worksheets, texts and prompts in this series are licensed under CC BY 4.0: you may use, change and share them if you name the source.