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Written division: one-digit divisor

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

You calculate from left to right. Four steps repeat: divide, multiply, subtract, bring down (herunterholen). You also learn the remainder (der Rest) and the zero in the result.
📄 Open worksheet (PDF, German)

The video

In the video you divide digit by digit. The side calculations are on the right.

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

Contents of the video

  1. 0:00 Introduction
  2. 0:14 The method
  3. 0:58 With remainder
  4. 1:33 Zero in the result
  5. 1:59 Careful, mistake!
  6. 2:25 Try it yourself

The most important points

Divide – multiply – subtract – bring down

\(756 : 3\): \(7 : 3 = 2\), \(2 \cdot 3 = 6\), \(7 - 6 = 1\). Bring down the 5: \(15 : 3 = 5\), \(5 \cdot 3 = 15\), remainder 0. Bring down the 6: \(6 : 3 = 2\). The result is \(252\).

756 : 3 step by step.
\(756 : 3\) step by step.

With remainder and check

\(947 : 4 = 236\) remainder \(3\). The remainder must be smaller than the divisor (der Teiler). Check: \(236 \cdot 4 + 3 = 947\).

947 : 4 with remainder and check.
\(947 : 4\) with remainder and check.

Zero in the result: \(618 : 3\): \(6 : 3 = 2\). Bring down the 1: \(1 : 3\) does not work, so you write a 0 in the result. Then \(18 : 3 = 6\). The result is \(206\), not \(26\). The estimate \(600 : 3 = 200\) shows the mistake.

618 : 3 = 206: the zero must not be missing.
\(618 : 3 = 206\): the zero must not be missing.

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
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The worksheet – Page 2
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The worksheet – Page 3
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Show the worksheet solutions
The worksheet – Page 4
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Try it yourself

Task

Calculate in writing: a) \(852 : 4\) b) \(725 : 6\)

Show solution

a) \(213\) b) \(120\) remainder \(5\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: schriftlich dividieren (einstelliger Teiler, Rest, Null im Ergebnis, Probe). 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.