@techreport{BurnikelZiegler98,
TITLE = {Fast recursive division},
AUTHOR = {Burnikel, Christoph and Ziegler, Joachim},
LANGUAGE = {eng},
NUMBER = {MPI-I-1998-1-022},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Saarbr{\"u}cken},
YEAR = {1998},
DATE = {1998},
ABSTRACT = {We present a new recursive method for division with remainder of integers. Its running time is $2K(n)+O(n \log n)$ for division of a $2n$-digit number by an $n$-digit number where $K(n)$ is the Karatsuba multiplication time. It pays in p ractice for numbers with 860 bits or more. Then we show how we can lower this bo und to $3/2 K(n)+O(n\log n)$ if we are not interested in the remainder. As an application of division with remainder we show how to speedup modular multiplication. We also give practical results of an implementation that allow u s to say that we have the fastest integer division on a SPARC architecture compa red to all other integer packages we know of.},
TYPE = {Research Report / Max-Planck-Institut für Informatik},
}