document.write( "Question 919965: what is the remainder when 77777.... up to 37 terms is divided by 19?\r
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document.write( "[ I can do it using the fermat's little theorem,
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document.write( "is there any other formula using co-prime property between 7 & 19? ] \n" );
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Algebra.Com's Answer #558182 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "This is a special case, nothing in general at all. So why \r\n" ); document.write( "not show it like a 4th grader would show it? By long division. \r\n" ); document.write( "As we can see from the long division below the remainders go:\r\n" ); document.write( "\r\n" ); document.write( "7, 1, 17, 6, 10, 12, 13, 4, 9, 2, 8, 11, 3, 18, 16, 15, 5, 0,\r\n" ); document.write( "7, 1, 17, 6, 10, 12, 13, 4, 9, 2, 8, 11, 3, 18, 16, 15, 5, 0,\r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " 409356725146198830 \r\n" ); document.write( "19)7777777777777777777\r\n" ); document.write( " 76\r\n" ); document.write( " 17\r\n" ); document.write( " 00\r\n" ); document.write( " 177\r\n" ); document.write( " 171\r\n" ); document.write( " 67\r\n" ); document.write( " 57\r\n" ); document.write( " 107\r\n" ); document.write( " 95\r\n" ); document.write( " 127\r\n" ); document.write( " 114\r\n" ); document.write( " 137\r\n" ); document.write( " 133\r\n" ); document.write( " 47\r\n" ); document.write( " 38\r\n" ); document.write( " 97\r\n" ); document.write( " 95\r\n" ); document.write( " 27\r\n" ); document.write( " 19\r\n" ); document.write( " 87\r\n" ); document.write( " 76\r\n" ); document.write( " 117\r\n" ); document.write( " 114\r\n" ); document.write( " 37\r\n" ); document.write( " 19\r\n" ); document.write( " 187\r\n" ); document.write( " 171\r\n" ); document.write( " 167\r\n" ); document.write( " 152\r\n" ); document.write( " 157\r\n" ); document.write( " 152\r\n" ); document.write( " 57\r\n" ); document.write( " 57\r\n" ); document.write( " 0\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |