Division vocabulary in German, including the “÷” symbol, related terms, and example sentences expressed entirely in German.
Understanding division vocabulary in German is key for describing division problems, explaining steps, and talking about remainders—all in German. This includes recognizing the division symbol used in German math, plus the most common words around dividing numbers.
Division Symbol
In German math, the division symbol is typically “:” or “÷”, with “:” being more common in textbooks and formal materials.
| German Symbol | English Equivalent | Description |
|---|---|---|
| : | ÷ (division sign) | The most common division symbol in German textbooks. |
| ÷ | ÷ | The international division symbol is also used. |
| / | / | The slash is used for inline division or fractions. |
Example:
- : 3 = 4 (Zwölf geteilt durch drei ist vier.)
Core Division Vocabulary
These are the fundamental German words for division, talking about dividing, quotients, and remainders.
| German Singular / Plural | English Singular / Plural | German Example | English Example |
|---|---|---|---|
| die Division / -en | division / divisions | Die Division ist das Teilen von Zahlen. | Division is the dividing of numbers. |
| der Quotient / -en | quotient / quotients | Der Quotient ist das Ergebnis der Division. | The quotient is the result of the division. |
| der Dividend / -en | dividend / dividends | Der Dividend wird durch den Divisor geteilt. | The dividend is divided by the divisor. |
| der Divisor / -en | divisor / divisors | Der Divisor teilt den Dividend. | The divisor divides the dividend. |
| der Rest / -e | remainder / remainders | Der Rest ist übrig, wenn nicht genau geteilt wird. | The remainder is what's left if it doesn't divide evenly. |
What is the German plural ending for 'Divisor'?
Divisoren
German plural for 'Divisor' is 'Divisoren' (adding '-en'), following regular pluralization rules for masculine nouns.
Division Verbs
These are the key German verbs you need to describe dividing numbers and explaining division steps in German.
| German Infinitive | English Infinitive | German Example | English Example |
|---|---|---|---|
| teilen | to divide | Wir teilen 12 durch 3. | We divide 12 by 3. |
| dividieren | to divide | wird durch 3 dividiert. | is divided by 3. |
| aufteilen | to split / distribute | Wir teilen die Äpfel auf. | We split the apples. |
| herausfinden | to find out | Wir finden heraus, wie oft 3 in 12 passt. | We find out how many times 3 fits into 12. |
| berechnen | to calculate | Berechne den Quotienten. | Calculate the quotient. |
Division Phrases
These common German phrases will help you form complete division sentences and describe division problems naturally.
| German Phrase | English Translation | German Example | English Example |
|---|---|---|---|
| geteilt durch | divided by | geteilt durch 3 ist 4. | divided by 3 is 4. |
| dividiert durch | divided by | dividiert durch 5 ist 3. | divided by 5 is 3. |
| wie oft passt … in … | how many times does … fit in … | Wie oft passt 3 in 12? | How many times does 3 fit into 12? |
| den Rest berechnen | calculate the remainder | Berechne den Rest der Division. | Calculate the remainder of the division. |
| durch … teilen | divide by … | Teile 20 durch 4. | Divide 20 by 4. |
Example Division Sentences
Here are some example sentences demonstrating how to talk about division in German, from simple equations to explaining remainders.
| German | English |
|---|---|
| : 6 = 3. | divided by 6 equals 3. |
| : 4 = 6 mit Rest 1. | divided by 4 equals 6 with a remainder of 1. |
| Der Quotient von 81 und 9 ist 9. | The quotient of 81 and 9 is 9. |
| Dividiere 100 durch 25. | Divide 100 by 25. |
| Wenn wir 30 durch 7 teilen, bleibt ein Rest. | When we divide 30 by 7, there is a remainder. |
Translate into English: '25 : 4 = 6 mit Rest 1.'
25 divided by 4 equals 6 with a remainder of 1.
The sentence shows a division problem where 25 divided by 4 results in 6 with a remainder of 1.
Summary
- The primary division symbol in German is “:” (colon), though “÷” and “/” also appear.
- Key nouns: Division (division), Quotient (quotient), Dividend (dividend), Divisor (divisor), Rest (remainder).
- Key verbs: teilen (divide), dividieren (divide), aufteilen (split), herausfinden (find out), berechnen (calculate).
- Common phrases include “geteilt durch” (divided by), “dividiert durch” (divided by), and “wie oft passt … in …” (how many times does … fit into …).
Mastering this vocabulary will let you confidently describe division problems and explain division steps in German.
Flashcards (1 of 23)
- Description: The most common division symbol in German textbooks.
- English Equivalent: ÷ (division sign)
Last updated: Thu Jun 12, 2025
