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In arithmetic, short division is a division algorithm which breaks down a division problem into a series of easier steps. It is an abbreviated form of long division — whereby the products are omitted and the partial remainders are notated as superscripts. As a result, a short division tableau is shorter than its long division counterpart — though sometimes at the expense of relying on mental arithmetic, which could limit the size of the divisor. Using short division, arbitrarily large dividends can be handled.

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  • In arithmetic, short division is a division algorithm which breaks down a division problem into a series of easier steps. It is an abbreviated form of long division — whereby the products are omitted and the partial remainders are notated as superscripts. As a result, a short division tableau is shorter than its long division counterpart — though sometimes at the expense of relying on mental arithmetic, which could limit the size of the divisor. For most people, small integer divisors up to 12 are handled using memorised multiplication tables, although the procedure could also be adapted to the larger divisors as well. As in all division problems, a number called the dividend is divided by another, called the divisor. The answer to the problem would be the quotient, and in the case of Euclidean division, the remainder would be included as well. Using short division, arbitrarily large dividends can be handled. (en)
  • Kort division är en didaktisk benämning på en divisionsalgoritm med mer kortfattad uppställning än Liggande stolen (eller "trappan" eller "lång division"). Metoden är främst lämpad för division med ensiffriga tal. Numera används vanligen kort division i den svenska skolundervisningen, medan uppställningar som liggande stolen ofta inte lärs ut alls eller först under grundskolans sista år. (sv)
  • 短除法是算术中除法的演算法,將除法轉換成一連串的運算。短除法是由長除法簡化而來,當中會用到心算,因此除數較小的除法比較適用短除法。對大部份的人而言,若除以12或12以下的數,可以用記憶中乘法表的內容,用心算來進行短除法。也有些人可以處理除數更大的短除法。 在短除法中,要將一個數(稱為被除數)除以除數,所得的結果稱為商數。利用短除法,可以求解被除數很大,除數很小的除法,將其轉換為一連串較簡單的運算。短除法也常用在因式分解,或是最大公因數的計算。 (zh)
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  • Kort division är en didaktisk benämning på en divisionsalgoritm med mer kortfattad uppställning än Liggande stolen (eller "trappan" eller "lång division"). Metoden är främst lämpad för division med ensiffriga tal. Numera används vanligen kort division i den svenska skolundervisningen, medan uppställningar som liggande stolen ofta inte lärs ut alls eller först under grundskolans sista år. (sv)
  • 短除法是算术中除法的演算法,將除法轉換成一連串的運算。短除法是由長除法簡化而來,當中會用到心算,因此除數較小的除法比較適用短除法。對大部份的人而言,若除以12或12以下的數,可以用記憶中乘法表的內容,用心算來進行短除法。也有些人可以處理除數更大的短除法。 在短除法中,要將一個數(稱為被除數)除以除數,所得的結果稱為商數。利用短除法,可以求解被除數很大,除數很小的除法,將其轉換為一連串較簡單的運算。短除法也常用在因式分解,或是最大公因數的計算。 (zh)
  • In arithmetic, short division is a division algorithm which breaks down a division problem into a series of easier steps. It is an abbreviated form of long division — whereby the products are omitted and the partial remainders are notated as superscripts. As a result, a short division tableau is shorter than its long division counterpart — though sometimes at the expense of relying on mental arithmetic, which could limit the size of the divisor. Using short division, arbitrarily large dividends can be handled. (en)
rdfs:label
  • Short division (en)
  • Kort division (sv)
  • 短除法 (zh)
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