Division!

Here’s a normal one: simple base ten, no tricks (I promise.) The solution doesn’t spell anything.

(General instructions for solving this kind of problem are found here.)

Please ROT13 any solutions, so others can keep playing.


             OLJ
PYCLPY|OCLDJYXYP
       YJJJDJD
        LGPGECY
        JEGJXOD
         DLOOXDP
         DELXYEE
          OCXPYC
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4 thoughts on “Division!

  1. Svanyyl sbhaq n jnl guebhtu gur ceboyrz gbavtug!

    BCLYWQ ner nyy ng gur fgneg bs ahzoref, fb gurl ner abg mreb. Gurersber, mreb zhfg or PKT be R.

    Fvapr B-L naq Y-W ner lvryqvat mreb, gurl zhfg or obeebjrq sebz, naq B=L+1, Y=W+1.

    Ybbxvat ng gur yrsgzbfg qvtvgf, B+R=Y (be Y-1)

    Ybbxvat ng gur frpbaq qvtvgf sebz gur yrsg, naq xabjvat juvpu ahzoref ner obeebjvat sebz gurve yrsg, jr pna frr gung Y > R, R > T, naq W > P. Tvira gur nobir gjb cnentencuf, jr pna qrgrezvar gung Y vf terngre guna WPRTLB. Fb, Y vf orgjrra fvk naq avar.

    Ybbxvat ng gur evtugzbfg qvtvgf, B*L naq Y*L obgu raq va Q. W*L raqf va R. Nyfb, L-Q=Q.

    Sebz urer, V qrpvqrq gb tb guebhtu inyhrf bs Y naq L gb lvryq inyhrf bs Q. V gura ybbxrq sbe nal ahzore gung pbhyq shysvyy na B inyhr jurer B*L lvryqrq gur fnzr Q. V pnzr hc jvgu bayl bar frg: Y vf rvtug, L vf gjb, Q vf fvk, B vf guerr, W vf frira naq R vf sbhe.

    Gung yrnirf mreb, bar, svir naq avar nf PKTC va fbzr beqre. Ybbxvat ng gur evtugzbfg qvtvgf, K-Q=P naq C-R=P. Jr xabj jung Q naq R ner, fb vg’f gvzr sbe gevny naq reebe ntnva. Naq gur bayl ahzoref gung fngvfsl gubfr pbaqvgvbaf ner K orvat bar, P orvat svir naq C vf avar, yrnivat T nf mreb.

    Fb, gur ahzoref mreb guebhtu avar ner TKLBRPQWYC.

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    • Irel avpr.

      Jung V svefg abgvprq vf gung B*L naq Y*L obgu raq va Q, juvyr W*L raqf va R. Fvapr arvgure Q abe R vf mreb, guvf zrnaf gung L vf rira naq B naq Y qvssre ol svir. Sebz gur ynfg fhogenpgvba, Y vf terngre guna B. L cyhf bar rdhnyf B, fb:

      B vf bqq.
      B vf pyrneyl abg bar.
      B vf yrff guna svir.

      Guhf B vf guerr, Y vf rvtug, L vf gjb, Q vf fvk, W vf frira, R vf sbhe, naq gur erfg sbyybjf.

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  2. Fb urer jr ner.

    Nyernql V pna’g uryc ohg abgvpr gung B, Y, naq W ner abg rdhny gb bar.

    Naq, nf fhpu, V xabj gung L + 1 rdhnyf B, W + 1 rdhnyf Y.

    Abj gurer’f fbzrguvat ryfr V’ir abgvprq. B gvzrf L vf Q naq Y gvzrf L vf Q. Ubj bsgra qbrf *GUNG* unccra? Yrg’f ohfg bhg n zhygvcyvpngvba gnoyr.

    Bxnl, abj yrg’f ohfg bhg bar gung vfa’g urkvqrpvzny…

    Naq V’z thrffvat gung jr’ir tbg n fvghngvba jurer vg’f fbzrguvat yvxr 2 gvzrf 4 vf 8, naq 7 gvzrf 4 vf 28. Fbzrguvat yvxr gung. Vg zrnaf gung Q vf rira naq, vs V unq gb thrff, gung L vf rira gbb. Ohg V znl or trggvat nurnq bs zlfrys gurer. (ohg jr nyfb frr gung L zvahf Q vf Q, fb 2Q = L… fb L *VF* rira, naq vs Q vf rira, gura gung zrnaf gung Q vf rvgure 2 be 4 naq L vf rvgure 4 be 8! Lnl!)

    Jryy, jr xabj gung W > P, R > T, naq Y > R. C – R vf P, fb P vfa’g mreb (naq arvgure vf R). Fb abj V’z jbaqrevat jurgure jr’ir tbg 9 aba-mrebf…

    W, P, R, Y, B, L… nyfb C naq Q (tvira gung gurl fgneg fbzr ahzoref).

    Fb K zvtug or mreb. Naq T zvtug or mreb.

    Fb jr’er fgvyy xvaqn fghpx.

    Jnvg, vs L – Q vf Q, gura P – B vf K. Gura K vf abg mreb.

    Jbb ubb! Jr unir bhe svefg ahzore! Vg’f T!

    Naq nyy jr xabj nobhg vg vf gung vg vf fznyyre guna R. Jryy, qhu.

    Ohg gung’f n fgneg.

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