{"id":416,"date":"2025-12-03T13:03:02","date_gmt":"2025-12-03T13:03:02","guid":{"rendered":"https:\/\/maths4u.gr\/?page_id=416"},"modified":"2026-04-20T12:32:32","modified_gmt":"2026-04-20T09:32:32","slug":"division","status":"publish","type":"page","link":"https:\/\/maths4u.gr\/index.php\/division\/","title":{"rendered":"\u0394\u03b9\u03b1\u03b9\u03c1\u03b5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1"},"content":{"rendered":"<p>\u039f\u03b9 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03b9 \u0388\u03bb\u03bb\u03b7\u03bd\u03b5\u03c2 \u03b1\u03bd\u03c4\u03af \u03b3\u03b9\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03c3\u03b1\u03bd \u03c4\u03b1 \u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03b1\u03c1\u03c7\u03b1\u03af\u03b1\u03c2 \u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b1\u03bb\u03c6\u03b1\u03b2\u03ae\u03c4\u03bf\u03c5 \u03c4\u03bf\u03c5\u03c2. \u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03bf \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c3\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03bc\u03b5 \u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1 \u03ae\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03cd \u03b4\u03cd\u03c3\u03c7\u03c1\u03b7\u03c3\u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1, \u03b3\u03b9 \u03b1\u03c5\u03c4\u03cc \u03ba\u03ac\u03b8\u03b5 \u03c6\u03bf\u03c1\u03ac \u03c0\u03bf\u03c5 \u03ae\u03b8\u03b5\u03bb\u03b1\u03bd \u03bd\u03b1 \u03c6\u03c4\u03b9\u03ac\u03be\u03bf\u03c5\u03bd \u03b1\u03be\u03b9\u03ce\u03bc\u03b1\u03c4\u03b1, \u03b8\u03b5\u03c9\u03c1\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ae \u03c0\u03bf\u03c1\u03af\u03c3\u03bc\u03b1\u03c4\u03b1, \u03b5\u03af\u03c7\u03b1\u03bd \u03c3\u03c4\u03bf \u03bc\u03c5\u03b1\u03bb\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03bc\u03b5\u03b3\u03ad\u03b8\u03b7.<br \/>\n\u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ad\u03c2 \u03c3\u03c4\u03b1 &#8220;\u03a3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1&#8221; \u03c4\u03bf\u03c5 \u0395\u03c5\u03ba\u03bb\u03b5\u03af\u03b4\u03b7, \u03cc\u03c0\u03bf\u03c5 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b8\u03b7\u03ba\u03b1\u03bd \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03cc\u03c0\u03c9\u03c2 \u03c4\u03b1 \u03be\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1. \u03a3\u03c4\u03bf 7\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03c4\u03c9\u03bd &#8220;\u03a3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03c9\u03bd&#8221;, \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd, \u03ba\u03b1\u03b9 \u03ba\u03b1\u03c4\u03b7\u03b3\u03bf\u03c1\u03b9\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5\u03c2.<br \/>\n\u0397 \u03c0\u03c1\u03ac\u03be\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03b7 \u03c0\u03c1\u03ac\u03be\u03b7 \u03c0\u03bf\u03c5 \u03c3\u03c4\u03b7\u03bd \u03bf\u03c5\u03c3\u03af\u03b1 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03b5\u03c5\u03b8\u03c5\u03b3\u03c1\u03ac\u03bc\u03bc\u03bf\u03c5 \u03b1\u03c2 \u03c0\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2. \u0391\u03bd \u03c4\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03bc\u03ae\u03ba\u03bf\u03c2 \\(\\alpha\\) \u03ba\u03b1\u03b9 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c0\u03cc\u03c3\u03b5 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c7\u03c9\u03c1\u03ac \u03c3&#8217; \u03b1\u03c5\u03c4\u03cc \u03ad\u03bd\u03b1 \u03ac\u03bb\u03bb\u03bf \u03b5\u03c5\u03b8\u03cd\u03b3\u03c1\u03b1\u03bc\u03bc\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \\(\\beta\\) \u03bc\u03b5 \\(\\alpha&gt;\\beta\\), \u03c0\u03bf\u03c5 \u03c3\u03c4\u03b7\u03bd \u03bf\u03c5\u03c3\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf <strong>\u03bc\u03ad\u03c4\u03c1\u03bf<\/strong> \u03bc\u03b1\u03c2, \u03c6\u03c4\u03b9\u03ac\u03c7\u03bd\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b9\u03b1\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ce\u03bd \\[\\alpha-\\beta, \\; \\alpha-2\\beta \\; \\alpha-3\\beta, \\;&#8230;\\; \\alpha-\\kappa \\beta\\] \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b1\u03bc\u03b1\u03c4\u03ac\u03bc\u03b5 \u03c3\u03b5 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac, \u03b5\u03b4\u03ce \u03c3\u03c4\u03b7\u03bd \\(\\alpha-\\kappa \\beta\\), \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c0\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \\(\\beta\\) \u03c7\u03c9\u03c1\u03ac \\(\\kappa\\) \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c3\u03c4\u03bf \\(\\alpha\\) \u03ba\u03b1\u03b9 \u03af\u03c3\u03c9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03b5\u03cd\u03b5\u03b9 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf \\(\\alpha\\) \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \u03c0\u03b9\u03bf \u03bc\u03b9\u03ba\u03c1\u03cc \u03b1\u03c0\u03cc \u03c4\u03bf \\(\\beta\\), \u03af\u03c3\u03c9\u03c2 \u03cc\u03c7\u03b9&#8230;<br \/>\n\u0397 \u03c4\u03b9\u03bc\u03ae \u03b1\u03c5\u03c4\u03ae \\(\\alpha-\\kappa \\beta\\) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ce\u03c2 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c4\u03bf\u03c5 \\(\\beta\\). \u0393\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03bc\u03ad\u03bd\u03b7 \u03ba\u03b1\u03bb\u03bb\u03af\u03c4\u03b5\u03c1\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \\(\\kappa\\) \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 <strong>\u03c0\u03b7\u03bb\u03af\u03ba\u03bf<\/strong> \u03c4\u03b7\u03c2 \u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03ba\u03ac\u03bd\u03b1\u03bc\u03b5, \u03ae \u03b1\u03bd \u03b8\u03ad\u03bb\u03b5\u03c4\u03b5 <strong>\u03c0\u03b7\u03bb\u03af\u03ba\u03bf \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7\u03c2<\/strong> \u03c0\u03bf\u03c5 \u03ba\u03ac\u03bd\u03b1\u03bc\u03b5 \u03c3\u03c4\u03bf \u03b5\u03c5\u03b8\u03cd\u03b3\u03c1\u03b1\u03bc\u03bc\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \\(\\alpha\\) \u03bc\u03b5 \u03c4\u03bf \u03b5\u03c5\u03b8\u03cd\u03b3\u03c1\u03b1\u03bc\u03bc\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \\(\\beta\\).<br \/>\n\u0397 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \\(\\Delta=\\delta \\cdot \\pi +\\upsilon,\\) \u03cc\u03c0\u03bf\u03c5 \\(\\Delta\\) \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03b9\u03c1\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5, (\u03bd\u03b1 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5), \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \\(\\delta\\) \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03bc\u03ad\u03c4\u03c1\u03bf \u03bc\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 <strong>\u03b4\u03b9\u03b1\u03b9\u03c1\u03ad\u03c4\u03b7\u03c2<\/strong>, \\(\\pi\\) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf <strong>\u03c0\u03b7\u03bb\u03af\u03ba\u03bf<\/strong> \u03ba\u03b1\u03b9 \\(\\upsilon\\) \u03c4\u03bf <strong>\u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03bf<\/strong> \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7\u03c2-\u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03c0\u03cc \u03b4\u03c9 \u03ba\u03b1\u03b9 \u03c0\u03ad\u03c1\u03b1 \u03b8\u03b1 \u03bb\u03ad\u03bc\u03b5 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03c3\u03ba\u03ad\u03c4\u03bf. \u03a3\u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \\(0\\leq \\upsilon&lt;\\delta\\).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u039f\u03b9 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03b9 \u0388\u03bb\u03bb\u03b7\u03bd\u03b5\u03c2 \u03b1\u03bd\u03c4\u03af \u03b3\u03b9\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03c3\u03b1\u03bd \u03c4\u03b1 \u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03b1\u03c1\u03c7\u03b1\u03af\u03b1\u03c2 \u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b1\u03bb\u03c6\u03b1\u03b2\u03ae\u03c4\u03bf\u03c5 \u03c4\u03bf\u03c5\u03c2. \u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03bf \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c3\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03bc\u03b5 \u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1 \u03ae\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03cd \u03b4\u03cd\u03c3\u03c7\u03c1\u03b7\u03c3\u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1, \u03b3\u03b9 \u03b1\u03c5\u03c4\u03cc \u03ba\u03ac\u03b8\u03b5 \u03c6\u03bf\u03c1\u03ac \u03c0\u03bf\u03c5 \u03ae\u03b8\u03b5\u03bb\u03b1\u03bd \u03bd\u03b1 \u03c6\u03c4\u03b9\u03ac\u03be\u03bf\u03c5\u03bd \u03b1\u03be\u03b9\u03ce\u03bc\u03b1\u03c4\u03b1, \u03b8\u03b5\u03c9\u03c1\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ae \u03c0\u03bf\u03c1\u03af\u03c3\u03bc\u03b1\u03c4\u03b1, \u03b5\u03af\u03c7\u03b1\u03bd \u03c3\u03c4\u03bf \u03bc\u03c5\u03b1\u03bb\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03bc\u03b5\u03b3\u03ad\u03b8\u03b7. \u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ad\u03c2 \u03c3\u03c4\u03b1 &#8220;\u03a3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1&#8221; \u03c4\u03bf\u03c5 \u0395\u03c5\u03ba\u03bb\u03b5\u03af\u03b4\u03b7, \u03cc\u03c0\u03bf\u03c5 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b8\u03b7\u03ba\u03b1\u03bd \u03c4\u03b1 &hellip; <a href=\"https:\/\/maths4u.gr\/index.php\/division\/\" class=\"more-link\">\u0394\u03b9\u03b1\u03b2\u03ac\u03c3\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1<span class=\"screen-reader-text\"> 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