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How long division is written around the world

Every country teaches the same arithmetic, but not the same way of writing it down. A child who learned long division in Germany would not recognise the layout used in France, and a worksheet from the United States uses a remainder notation Japanese pupils never see.

Below is one division, 857 ÷ 4 = 214 remainder 1, worked out in six countries’ school layouts. Each figure is drawn by the same generator that makes our worksheets, so the working is exactly what the answer keys show.

United States

The divisor sits outside a bracket, the quotient goes above the bar and the remainder is written with R.

How to Do Long Division, Step by Step →
Deutschland

Written on one line with “:” instead of “÷”; the working goes underneath, each product with a minus sign. The remainder is “R”. Squared paper, one digit per square.

Schriftliche Division: Schritt für Schritt erklärt →
France

The “potence”: dividend on the left, divisor on the right of a vertical line, quotient under the divisor. Spain, Italy, Brazil and Turkey use the same shape.

La division posée (potence) : méthode pas à pas →
Polska

The quotient is written above a bar over the dividend, with “: 4” to the right; “·” is used for multiplication.

Dzielenie pisemne krok po kroku →
India

NCERT textbooks write the divisor before “)” and the quotient after “(”, on the same line as the dividend.

Long Division, NCERT Method: Step by Step →
日本

The same bracket shape as in the US, but the remainder is written “あまり”, and only the quotient goes above the bar.

わり算の筆算のやり方(たてる・かける・ひく・おろす) →

Notation in 22 countries

How schools write the times and division signs, a remainder, a decimal and a large number, and which paper size they print on. Every value comes from that country’s official curriculum documents or, where those are silent, from its standard school practice; the official sources are linked from each country page.

Country× ÷Long divisionRemainderDecimalLarge numberPaper
United States× ÷Bracket, quotient above7 R 23.251,234,567US Letter
England× ÷Bracket, quotient above7 r 23.251,234,567A4
Canada× ÷Bracket, quotient above7 R 23.251 234 567US Letter
Australia× ÷Bracket, quotient above7 r 23.251 234 567A4
India× ÷b ) a ( qQ = 7, R = 23.2512,34,567A4
Singapore× ÷Bracket, quotient above7 R 23.251 234 567A4
Philippines× ÷Bracket, quotient above7 R 23.251 234 567US Letter
Deutschland· :One line: a : b = q7 R 23,251 234 567A4
France× ÷Divisor right, quotient under itq = 7 ; r = 23,251 234 567A4
España× :Divisor right, quotient under it7 (resto 2)3,251.234.567A4
México× ÷Bracket, quotient above7 (residuo 2)3.251 234 567US Letter
Italia× :Divisor right, quotient under it7 (resto 2)3,251.234.567A4
Brasil× ÷Divisor right, quotient under it7 (resto 2)3,251 234 567A4
Portugal× :Divisor right, quotient under it7 (resto 2)3,251 234 567A4
Nederland× :One line: a : b = q7 rest 23,251.234.567A4
Polska· :Quotient above a bar, “: b” right7 r. 23,251 234 567A4
Türkiye× ÷Divisor right, quotient under it7 (kalan 2)3,251 234 567A4
Indonesia× :Bracket, quotient above7 sisa 23,251.234.567A4
日本× ÷Bracket, quotient above7あまり23.251234567A4
한국× ÷Bracket, quotient above7…23.251,234,567A4
台灣× ÷Bracket, quotient above7 … 23.251,234,567A4
香港× ÷Bracket, quotient above7 … 23.251,234,567A4

In the Netherlands formal written division is no longer taught in primary school; division is set out in a line and worked with the “hapmethode” (repeated subtraction of chunks). Japanese sheets for the lower grades do not group thousands at all.