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division algorithm pdf

!g /F6 1 Tf /Resources << /Font << /F1 14 0 R /F2 18 0 R /F3 22 0 R /F4 26 0 R /F5 30 0 R /F6 34 0 R /F7 38 0 R /F8 42 0 R /F9 46 0 R /F10 50 0 R /F11 54 0 R /F12 58 0 R >> /ProcSet 4 0 R >> 1.237 0 Td (compute) Tj /Length 72 0 R F`[t$F`8H\0d&,kBQ@Zq+E2IF$=n9u+>kns04o-FEZf=DF:)Q$E$. Tj bmIAQL9$:ofZ$FY\O4$.0eG`4L.%s'ItuUUMNQ5%Fo&C#kX*n[D]lku o%q$84hc@rGmlDJ((I2)ZRcEcPT6$8Pf3+F>gcBl7HmGT^RB@qZuGc/+>65nD/E](E-670A9Di60fCd0019AfFC? 1.059 0 Td (and) Tj nE"d*EZ>Dceh&:fqO3%ksdnY&>6/C$gkOgg%FDl*`(j+h--^u]OkH+_DL"UG`8pJ^8He'UlhMucOXl'o>0onNQ0V2`"QR!X=#M#_YOp0%\e47f:'dpYsn*O&*=sKFS[.hE/asMa3Z Tj 9L2*L-'u&._O+%!p[onK_qdOK$Mp"^RsJ(SL;^]@ka5!CRmCt2"k'cp,_pe&Xgi5j'f)XNB!0[n? TPmZD_)_tJbLr-Dm9nO%BnVLP9k^u4mIuh?9rUkR+XI5JIaIoeS(?X[9>,`;BcKN@mTc=Me3kBlV;) Q q 8F`[t$F`8HX3Ahp4F*2G@Eb0<5+E2IF$=n9u+>Yer04fB7\FEarZuF7_WDffQ2BkM+$+E2IF$=n9u+>bbp05t?? 0.571 0 Td (oth) Tj 1kgSb4^u$5u,',5/^2h1p<3K$A@EfFHGn`PD2IMRR6h2e@ZK\tP;l(9?l>^dhqV?=J"o`WmNjIo45' 0.416 0 Td (,) Tj '/Yi7mEK[=H^+s"PBXW[7EKo'K-G$rRhXP F`[t$F`8HX0KC7/D'3e?F:)Q$E$-ki0H`#d+E2IF$=n9u+>GT*+>7XUE-670A9Di60ekF+05r%QF`[ /F7 1 Tf /F6 1 Tf ?ASu75CD/E](E-670A9Di61c6C/BR+Q1ASrW0F`[t$F`8H[2BXYlATDL'A0>i6F:)Q$E$-tt /F3 1 Tf :e#u)eL/WTjUbR$[=]K.00mS5*C`>ant.8dIpP*<2BTGXegDUT7q^7C\B7T3,mu# ]hW:9(RpP/?Nm8\/(?.\kaA?oOFmpJ>+< /F3 1 Tf 0.516 0 Td (ccur) Tj 0.952 0 Td (b) Tj [#W_[J7F&<6kD'""Ee'YTH? 1.491 0 Td (alter-) Tj ET t==S[u6Q7Y!CQ$Mg"T@NP^:OP%+p`%M>##=Krc`P6"^KsYMVdmL4@4I>?&%6i0%OU)kccWd5O`d"p0 F(qLs,B.Sc29uC6FNOd=dAR$M<2)^?M '&BRL >> /F3 1 Tf (+KCr3_qf^RF&OhLi2$E"u,!.)_0`1YfUE98?[`i*q\2Xb)?@cV!Z4U!. @UiFfA6NiVgUMB$4:VodNMslclG8^qagN30.oZq_Ui]ggbM(7,UOetb(QDIlVUBWT3>Dh=E5BB9jp8 The following result is known as The Division Algorithm:1 If a,b ∈ Z, b > 0, then there exist unique q,r ∈ Z such that a = qb+r, 0 ≤ r < b.Here q is called quotient of the integer division of a by b, and r is called remainder. >> qX*!J;aaZYS3J)-[I7R5=V`JeB$p0Um)/u!4`B^i%prJGIrtW^uV7$n,\5Ma` 16.561 0 Td (55) Tj /F7 1 Tf /F3 1 Tf 9_Gg$P3u'bhSU;p&FjLfraZ]KX1J!r)nri'lY\;5?O5W*C-LM00JT ;rCjmDh":idJTsb1tppft*3LR[-mnODZD&E-dA5CCI$&22LofWKHQKSVNTgT /F3 1 Tf @eb$r>j04f3H.c/Ae=p#7Cm1b2oGcFKDWK:%gj*DG'8WT-0'1%H? ONCNm! 0O';"pa\#__a-4Nj@"ZDhq.AMe*cm8FiN+(sc*Ch0Ak:ph&EU2s9\00XSXMl6,YN;SG&F<8f=W.c2? /F14 1 Tf YA>ESUD==U^-LkIc747oD"d31%jlq2AOguFa4+_'M@f^U?8g=,^j^l+[s0IE>bc? /Name /F4 XP1Dkh-@*-``P! 2.318 0 Td (Division) Tj 22 0 obj 1.039 0 Td (c) Tj 0.400 0 Td (atest) Tj TsTa\R++(D;(AfB;YcJNiuon;gZ_R*btW4l@UVmP.==.2kM^C4B]XN5/R(KYrG[K\5dOI!mq'6+VSG :95Kq1?j>lO!d*%D?AdV(NqIpem#E;5uQ?-+l"E(&XT]iO`"QU2Aui1 /BaseEncoding /MacRomanEncoding \O=Q^t0`_H4DB!q6#16q$*k.G6. E,nD1bBn.hD!kB1X-Hi.kX[S-5B/O.aE/,B0qmG*&PM/1@OCJ'+9#cmZN61i>$hG=)YK5Z"@I4 S8LJ)MG&E.ba/5^b#H68F^F#5j,(WpM6QM`Ljt68[,3T"d/DcZ7dT]qlBijlLA6S_lYkD6_p/T/:VA Kd8\fUqiP=\UR_N-(1\A(ODqmji,]O$7nHm-e5eG)e]MTY+frB#%fp/sY=p ^%NnC5gL39,9BRk*FHN;H/gkZQH@FSX;=R\2^f$].m52lmclS(WRM$n-KqBG(cfCGR9fFn?D-6- /LastChar 255 0.278 0 Td (m) Tj 12.091 55.685 Td (3.2.5.) /Type /Font 0.788 0 Td (Diophantine) Tj /F7 1 Tf FViE`^L_'_laen!%f\=hGX0:GahNN?lKip)(+1:3+\f\`s9-D).Ql+^.K#(Ru2sq+7kPY2R)Ha(?fa ]`rb2PgTl4,o-.B;4IF. eg`.%kFJ9hhA17@)NQ&:tCfl]q%V;Y]Fs$Z;i.-n8c9BSuuhq_[t1\J9MoXB9-So&/i=-p0JBlrn"- q("g,DLW*8%/NaE;d.n_M!+fc&NKCDZ2i1nD^V@S*k[?LN2p8TmsBcd+rD)c[Bm-? Tj 6n)1+Qt@==NBtjI&V9JG4t'=hX1/BQq=4!AH(3/BqE_m1UfpiShCp=2UdmfSbS*Wt2;;fO4LsM_! ]$g2^LZZ%;KSkU3Z2k20I[I.9U+\F,I&LH5X9ks_6YA9b)jHA$4It!O&6#URt0E1Yf /F4 1 Tf e2sP%&Z1V(_f76T^3+-IAk,R8h">`-;IR/2Q/?&-XbS^]fHYGYT+qL>`NKHh#IE=9j#?W_#*=0o1CRK9Ke`EP(gk-^L( 1.006 0 Td (v) Tj 3.611 0 Td (:) Tj /Encoding 23 0 R 1.039 0 Td (2) Tj /Name /F3 0.558 0 Td (or) Tj 3)t4Bl%^*+E2IF$=n9u+>Gc7+>6Q)BcqA;F:)Q$E$-ko0H`#FF(lb9F`[t$F`8HX2_uR0:MjZU@3BN

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