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A. W. Goodman, W. M. Zaring, Euclid's Algorithm and the Least-Remainder Algorithm, The American Mathematical Monthly, Vol. 59, No. 3 (Mar., 1952), pp. 156-159 ...
While it may sound daunting, partial quotient algorithm (or partial quotient division) is a method for dividing numbers that's much more accessible than the familiar but more abstract long division.