short division: meaning, definition, pronunciation and examples

Short division is a compact method used primarily for division by single-digit numbers (or simple divisors like 12, 25), where the working out is written above the dividend. Long division is a more detailed, structured method used for dividing by multi-digit numbers, writing the work out step-by-step to the right of the problem.

Yes, it remains a standard part of the primary/elementary mathematics curriculum in many countries, often taught as an introduction to the formal written method of division before moving on to long division.

It is possible but less common and often becomes impractical. Short division is designed for mental arithmetic steps; with two-digit divisors, the mental calculation burden increases significantly, making the structured layout of long division more helpful to avoid errors.

It's called 'short' because the written algorithm is shorter and more compact than the longer, more vertically extensive layout required for long division. The process itself is also typically quicker to perform.

A mathematical method of dividing one number (the dividend) by another (the divisor) by writing the calculation out step-by-step with the work placed above the dividend, typically used for simpler, single-digit divisors and performed mentally or on paper without the full layout of long division.

Short division is usually technical / academic / educational in register.

Short division: in British English it is pronounced /ˌʃɔːt dɪˈvɪʒ(ə)n/, and in American English it is pronounced /ˌʃɔːrt dəˈvɪʒ(ə)n/. Tap the audio buttons above to hear it.