Editing Octal (section)

====Method of successive Euclidean division by 8====
To convert integer decimals to octal, [[Euclidean division|divide]] the original number by the largest possible power of 8 and divide the remainders by successively smaller powers of 8 until the power is 1. The octal representation is formed by the quotients, written in the order generated by the algorithm.
For example, to convert 125<sub>10</sub> to octal:
:125 = 8<sup>2</sup> × '''1''' + 61
:61 = 8<sup>1</sup> × '''7''' + 5
:5 = 8<sup>0</sup> × '''5''' + 0
Therefore, 125<sub>10</sub> = 175<sub>8</sub>.

Another example:
:900 = 8<sup>3</sup> × '''1''' + 388
:388 = 8<sup>2</sup> × '''6''' + 4
:4 = 8<sup>1</sup> × '''0''' + 4
:4 = 8<sup>0</sup> × '''4''' + 0
Therefore, 900<sub>10</sub> = 1604<sub>8</sub>.