Shulchan Aruch Chapter 619:  The Order of the Night of Yom Kippur (6 Paragraphs)
Note the REMA is in brackets []
1.  The night of Yom Kippur we have the custom for the Cantor to say "in the assembly of up high and in the assembly of below with permission of Hashem and with permission of the congregation, we make it permissible to pray with sinners".  We also have the custom to say Kol Nidre (כל נדרי) and afterwards say the blessing of Shehechianu (שהחיינו) without using a cup of wine.  [And afterwards we pray the evening service (מעריב).  We have the custom to say Kol Nidre when it is still day and we continue singing Kol Nidre until night fall reciting it for a total of three times.  Each subsequent recitation the Cantor raises his voice louder than the previous recitation.  The Cantor also says three times "and forgive the entire congregation of Israel ... (ונסלח לכל עדת)" and the congregation responds three times "and Hashem said I forgive you as you requested (ויאמר ה סלחתי כדבריך)".  One should not deviate from the custom of their city even with the tunes or the poems said there.]

2.  The night of Yom Kippur and the following day we say "Blessed be the name of his glorious kingdom forever (ברוך שם כבוד מלכותו לעולם ועד)" in a loud voice.

3.  If Yom Kippur fell out on the Sabbath, we say the prayer of ויכולו ("And the heavens and earth were completed...) and one blessing from the seven (1).  Then we conclude with the blessing of מקדש השבת  ("he who hallows the Sabbath").  We do not say "of Yom Kippur" in this blessing.  [One can not say "Our father, our King on the Sabbath but the rest of the prayers petitions and lamentations we say just like if it fell out on a weekday.]

4.  We require one person to stand at the right side of the Cantor and another person to stand at the left side of the Cantor (2). 

5.  There are some people who stand on their feet all day and all night.

6.  There are those who have the custom to lodge in the synagogue and say songs of praise the entire night (3).  [It is good to sleep far away from the ark.  If someone does not want to say songs of praise at night should not sleep in the synagogue.  The Cantors who pray for the congregation the entire day should not stay up at night as their voice weakens without sleep.]

Footnotes:
(1) M.B:  The blessing of the "holy king" המלח הקדוש
2) M.B:  Just like Aaron and Chur lifted up Moses' hands in the Torah.  Now the custom is for them to stand by the Chazon until Barchu. 
(3) M.B:  One should go to sleep at home and not stay up all night because one can't have the proper concentration during the day if one is tired.

Shulchan Aruch Chapter 620:  A Good Custom to Be Brief With the Morning Prayer (1 Paragraph)

1.  It is good to be brief with the supplications and lamentations during the morning prayer in order to hurry so that they will be able to pray the Mussaf prayer before the 7 hours. 

Shulchan Aruch Chapter 621:  The Order of the Torah reading and Circumcision (6 Paragraphs)

1.  We bring out two Torah scrolls.  In the first we read six sections in the chapter of אחרי מות "after the death of Aaron's two sons..." until ויעש כאשר צוה ה "they did just as G-d commanded...".  If Yom Kippur fell out on the Sabbath, they read the seven sections plus an additional Maftir reading in the second section of Pinchas ובעשור לחודש  "and on the 10th of the month" and we read from the prophets in Issaiah from סלו סלו פני דרך until  כי פי ה' דבר.

2.  A circumcision on Yom Kippur is performed between יוצר in the Mussaf prayer and after the reading of the Torah.  After the circumcision we recite אשרי.  [Our custom is to do the circumcision after אשרי].  If you are located in a place which requires the congregation to exit the synagogue to perform the circumcision, then we do not do it until after the recitation of the silent standing prayer.  Then after the circumcision they recite Kadish. 

3.  We make a blessing on the circumcision without a cup of wine. [Others say to make a blessing on a cup of wine and give some of it to the baby being circumcised and such is our custom.]

4.  In the mussaf prayer, the Cantor recites the order of the sacrifices.  [The custom is to fall on our faces when they say "the priests and the people..." we also to raise their voices in praise of G-d (unsure of translation of this phrase ???) but the Cantor is forbidden to do this since he can't move from his place at the time of praying in order to fall on his face.  One should protest if he tries to do so.]

5.  The correct version of the confession (וידוי) isחטאתי עויתי פשעתי

6.  It is our custom to pledge charity on Yom Kippur in the name of dead people [and recite in their memory by name since the dead also have forgiveness on Yom Kippur.]


Shulchan Aruch Chapter 622:  The Order of the Mincha Prayer (4 Paragraphs)

1.  On Mincha we say the prayer of אשרי and ובא לציון.  We do not say ואני תפלתי even if it fell out on the Sabbath.  [We do not have the custom to say אשרי and ובא לציון before Mincha but we say it instead before Neilah נעילה and several Rabbis wrote the same thing.  We don't say אין כאלקינו on Yom Kippur.]

2.  We bring out a Torah scroll and read three readings in the chapter of עריות until the end of the section.  And after the third section we conclude with the book of Jonah.  Then we recite מי 'ל כמוך and we make a blessing before it and after it.  If Yom Kippur fell out on the Sabbath, we mention the Sabbath in the blessing and conclude with "of the Sabbath" in the concluding blessing.  [We do not say על התורה ועל העבודה during the Mincha Prayer.]

3.  If Yom Kippur fell out on Shabbat, we say צדקתך and  אבינו מלכינו.  [In our communities we do not say צדקתך and  אבינו מלכינו.]

4.  We do not cover our faces (to say the Tachanun prayer) during Mincha on Yom Kippur.  If a Cohen decides to go up to do the priestly blessing he may cover his face and we don't stop him. (1)

Footnotes:

(1) M.B. This is not a good idea, and the other priests should not join him in saying the priestly blessing.  

Shulchan Aruch Chapter 623:  The Order of the Concluding נעילה (Neilah) Prayer (6 Paragraphs)

1.  For Neilah/ נעילה we say אשרי and ובא לציון.  [I already wrote that the custom in our communities is to say these two before Neilah.]

2.  The time when we start saying Neilah is when the sun just begins to set in order that we should finish it close to sunset.  The Cantor must be brief with the supplications and the passages in the middle of the prayer.  Also he should not enunciate every single word in Neilah like he enunciates in the rest of the prayers in order that he should finish before sunset [and we say כתבינו חתמנו (write us and seal us) in their respective places].

3.  If Yom Kippur falls out on Shabbat, we mention in the prayer Shabbat.  But in the confession (וידוי) after the prayer we do not mention the Shabbat.  This applies to an individual.  But the Cantor since he says the confession (וידוי) in the middle of his prayer, he mentions the Shabbat.  If the Cantor did not remember it, we do not correct him.

4.  We say כתר like we say in the Mussaf prayer.

5.  We cover our faces during Neilah.  [The custom in our communities is to not cover our faces during Neilah, but to say "Our father, our King" (אבינו מלכינו).]

6.  After the סליכות (supplications) we say ה' הוא האלקים 7 times.  [We also say Shema 7 times and ברוך שם 3 times.]  Then we blow with the Shofar a Tekiah, Sevarim, Teruah. [Others say to blow only one Tekiah and such is our custom in our communities.  We blow after Kadish is recited which is after the Neilah prayer.  In some places they have the custom to blow before Kadish.]

Shulchan Aruch Chapter 624:  The Order of After Yom Kippur is Concluded (5 Paragraphs)

1.  We pray the Ma'ariv prayer and say Havdalah within the passage of חונן הדעת.

2.  It is necessary to add extra time to the holy day even during its conclusion so we wait a little after the stars come out.

3.  We say Havdalah on a cup of wine but we do not make the blessing on the spices even if it fell out on Shabbat.

4.  We make the blessing on fire, but don't make it on a new fire that we kindled from flint (unsure of exact translation but he is definitely saying that we need a preexisting fire to make the blessing on).  Other say we can make a blessing on a fire which was taken from a preexisting fire. 

5.  A Jew who obtained a fire which was lighted by Gentiles may not make a blessing on it after Yom Kippur even though that one can make a blessing on it after the Shabbat because we can only make a blessing on a fire which rested from before Yom Kippur itself or from a fire lit by this fire.  Similarly, it is our custom to light a fire from the candelabras of the Synagogue.  However, if we lit a fire on Yom Kippur that was permitted like if it was for a sick person, we may make a blessing on it.  [Some say to make the blessing on the candelabras of the Synagogue.  Others say to not make a blessing on them, but to light one candle from them.  It is fine to make a blessing on them together; one newly lit candle from the candelabras and the candelabras themselves and to not only make a blessing on one candle.  The laws of candles are listed previously.  We eat and are joyous after Yom Kippur since it is a little Yom Tov.  Some are stringent on themselves and make two days of Yom Kippur and there is a valid reason for it.  We do not have the custom to adhere to this stringency because of the potential danger involved.  One who fasts the fast of a dream the day after Yom Kippur does not have to fast his entire life (??? voluntary fasts).  We do not say Tachanun תחנון or Tzitkatchah Tzedek from Yom Kippur to Succot.  Those who are zealous immediately begin to build the Sucah the day after Yom Kippur in order to bring together one Mitzvah after another Mitzvah.]
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Translated by Dr. Jay Dinovitser
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