document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=707044>Question 707044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We had this problem at school with no help in solving. I did it by trial and error but don't know the actual formula for solving.\r<BR>\n" );
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document.write( "The equation was: N(four digits)/D(one digit)=1234 r5.\r<BR>\n" );
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document.write( "Any help on how to solve for both N and D? Thanks!\r<BR>\n" );
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document.write( "Raphael </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435478 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=435478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have a few numbers of only 1 digit length to choose from and test.  Your choices to try are from the set, {2,3,4,5,6,7,8,9}.  Those are the possible divisors to test.  \r<BR>\n" );
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document.write( "N/D=1234r5, same as N/D=1234+5/D.<BR>\n" );
document.write( "Multiply both sides by D:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=1234%2AD%2B5 ALIGN=MIDDLE  ALT=\"N=1234%2AD%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Test all the possible denominators of whole numbers from 2 to 9.  Some are going to be better than others.  I would suggest D greater than 5.  6, 7, and 8 work well.  9 will NOT work, giving a five-digit number.\r<BR>\n" );
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document.write( "Some what found:<BR>\n" );
document.write( "D____________N<BR>\n" );
document.write( "6____________7409<BR>\n" );
document.write( "7____________8643<BR>\n" );
document.write( "8____________9877<BR>\n" );
document.write( "9____________11111, which is too many digits.  We wanted four; not more than.\r<BR>\n" );
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document.write( "The difficulty with choosing D=5 is that we want our remainder to actually BE 5.<BR>\n" );
document.write( "Look... 1234*5+5/5=6175, and that 6175/5=1235 which in truth is not something that really gives a remainder upon 1234.  5/5 is NOT really a remainder. </SPAN>\n" );
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