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Written division: two-digit divisor

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

The method stays the same. New: you have to estimate the digit of the result and check that the remainder is smaller than the divisor.
📄 Open worksheet (PDF, German)

The video

In the video you first estimate, then calculate. Two examples show the method.

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

Contents of the video

  1. 0:00 Introduction
  2. 0:19 Two-digit divisor
  3. 1:05 Another example
  4. 1:32 The right digit
  5. 2:05 Try it yourself

The most important points

Where do I start?

\(1\,092 : 12\): 12 does not fit into 1 and not into 10, but into 109. Estimate: \(10 \cdot 12 = 120\) is too much, so try 9: \(9 \cdot 12 = 108\), \(109 - 108 = 1\). Bring down the 2: \(12 : 12 = 1\). The result is \(91\).

First take three digits, then estimate.
First take three digits, then estimate.

Another example: \(935 : 11 = 85\). \(93 : 11 = 8\), remainder 5, \(55 : 11 = 5\).

935 : 11 = 85.
\(935 : 11 = 85\).

Finding the right digit

The remainder must be smaller than the divisor. \(109 : 12\): with 8, \(8 \cdot 12 = 96\), remainder 13. \(13 > 12\): too small. With 10, \(10 \cdot 12 = 120 > 109\): too big. Only 9 fits, remainder 1.

Too small, too big or right?
Too small, too big or right?

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

Try it yourself

Task

Calculate in writing: a) \(1\,456 : 14\) b) \(3\,150 : 25\)

Show solution

a) \(104\) b) \(126\)

Keep learning with a language model

Du bist meine Mathe-Lehrkraft. Ich lerne Deutsch als Zweitsprache. Unser Thema: schriftlich dividieren mit zweistelligem Teiler (schätzen, Rest kleiner als Teiler). 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.