long division: meaning, definition, pronunciation and examples
ModerateNeutral/Formal (Technical, Educational)
Quick answer
What does “long division” mean?
A standard arithmetic algorithm for dividing two numbers, typically with multi-digit divisors, by breaking the process into a series of simpler steps, producing a quotient and often a remainder.
Audio
Pronunciation
Definition
Meaning and Definition
A standard arithmetic algorithm for dividing two numbers, typically with multi-digit divisors, by breaking the process into a series of simpler steps, producing a quotient and often a remainder.
Metaphorically, any lengthy, detailed, step-by-step procedure reminiscent of the mathematical algorithm.
Dialectal Variation
British vs American Usage
Differences
No significant lexical difference. Minor variations may exist in teaching notation or layout (e.g., placement of quotient).
Connotations
Neutral, educational connotation in both varieties.
Frequency
Equally common in educational contexts in both regions.
Grammar
How to Use “long division” in a Sentence
long division on [a number]long division by [a divisor]long division of [dividend] by [divisor]use long division to [calculate]Vocabulary
Collocations
Examples
Examples of “long division” in a Sentence
adjective
British English
- a long-division worksheet
- the long-division algorithm
American English
- a long division problem
- the long division method
Usage
Meaning in Context
Business
Rarely used, except perhaps metaphorically for a detailed analytical process.
Academic
Common in mathematics education and algebra (polynomial long division).
Everyday
Used when discussing schoolwork, helping children with maths, or recalling school experiences.
Technical
Specific to arithmetic and algebraic computational methods.
Vocabulary
Synonyms of “long division”
Vocabulary
Antonyms of “long division”
Watch out
Common Mistakes When Using “long division”
- Forgetting to bring down the next digit
- Misplacing the decimal point
- Incorrectly subtracting partial products
- Confusing the divisor and dividend
FAQ
Frequently Asked Questions
Long division is used for more complex divisions with multi-digit divisors, writing out all steps. Short division is a quicker method for simpler divisions, often done mentally or with minimal notation.
Yes, it remains a fundamental arithmetic algorithm taught in primary education in many countries, though emphasis may vary with curriculum changes.
Yes, polynomial long division is an analogous algebraic technique used to divide polynomials, following a similar stepwise algorithm.
The term 'long' refers to the extended, step-by-step written process required for more complicated divisions, compared to shorter or mental methods.
A standard arithmetic algorithm for dividing two numbers, typically with multi-digit divisors, by breaking the process into a series of simpler steps, producing a quotient and often a remainder.
Long division is usually neutral/formal (technical, educational) in register.
Long division: in British English it is pronounced /ˌlɒŋ dɪˈvɪʒ(ə)n/, and in American English it is pronounced /ˌlɔːŋ dɪˈvɪʒ(ə)n/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “like long division (tedious and step-by-step)”
Learning
Memory Aids
Mnemonic
Imagine a long road (long) that you divide (division) into equal sections step by step.
Conceptual Metaphor
COMPLEX PROBLEM-SOLVING IS LONG DIVISION.
Practice
Quiz
In which subject is the term 'long division' primarily used?