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• The floor division // operator was introduced. Thus 7//3 == 2, -7//3 == -3, 7.5//3 == 2.0, and -7.5//3 == -3.0. For outdated Python 2.7 adding the from __future__ import division statement causes a module in Python 2.7 to use Python 3.0 rules for division instead (see above).

In Python terms, the / operator represents true division (or simply division), while the // operator represents floor division. Before version 3.0, the / operator represents classic division.cite-ref-pep0238-110-1[107]

Rounding towards negative infinity, though a different method than in most languages, adds consistency to Python. For instance, this rounding implies that the equation (a + b)//b == a//b + 1 is always true. The rounding also implies that the equation b*(a//b) + a%b == a is valid for both positive and negative values of a. As expected, the result of a%b lies in the half-open interval [0, b), where b is a positive integer; however, maintaining the validity of the equation requires that the result must lie in the interval (b, 0] when b is negative.cite-ref-autont-62-111-0[108]

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