Navaratri represents celebration of Goddess Durga, the manifestation of Deity in form of Shakti [Energy or Power]. The Navaratri festival or ‘Nine Nights festival’ becomes ‘ten days festival’ with the addition of the last day, Vijayadashami which is its culmination. On all these ten days, the various forms of Mother Mahisasura-mardini (Durga) are worshipped with fervor and devotion.
Navratri is divided into sets of three days to adore three different aspects of the supreme goddess or goddesses.
First three days
The goddess is separated as a spiritual force called Durga also known as Kali in order to destroy all our impurities.
Second three days
The Mother is adored as a giver of spiritual wealth, Lakshmi, who is considered to have the power of bestowing on her devotees inexhaustible wealth, as she is the goddess of wealth.
Final three days
The final set of three days is spent in worshipping the goddess of wisdom, Saraswati. In order to have all-round success in life, believers seek the blessings of all three aspects of the divine femininity, hence the nine nights of worship.
Eighth day is traditionally Durgashtami which is big in Bengal.
In some parts of South India, Saraswati puja is performed on the 9th day.
Ayudha Puja is conducted in many parts of South India on the Mahanavami (Ninth) day with much fanfare.
Ayudha Puja
Weapons, agricultural implements, all kinds of tools, equipments, machinery and automobiles are decorated and worshipped on this day along with the worship of Goddess. The work starts afresh from the next day, i.e. the 10th day which is celebrated as 'Vijaya Dashami'. Many teachers/Schools in south India start teaching Kindergarten children from that day onwards.
In North India, as the culmination of the Ramlila which is enacted ceremoniously during Dussehra, the effigies of Ravana, Kumbhakarna, and Meghanada are burnt to celebrate the victory of good (Rama) over evil forces on the 'Vijaya Dashami' day.
Ramlila in Delhi
During Navratri, some devotees of Durga observe a fast and prayers are offered for the protection of health and prosperity. A period of introspection and purification, Navratri is traditionally an auspicious and religious time for starting new ventures.
During this vowed religious observance, a pot is installed (ghatasthapana) at a sanctified place at home. A lamp is kept lit in the pot for nine days. The pot symbolizes the universe. The uninterrupted lit lamp is the medium through which we worship the effulgent Adishakti, i.e. Sree Durgadevi. During Navratri, the principle of Sree Durgadevi is more active in the atmosphere.
Navratri is celebrated in a large number of Indian communities. The mother goddess is said to appear in 9 forms, and each one is worshipped for a day. These nine forms signify various traits that the goddess influences us with. The Devi Mahatmya and other texts invoking the Goddess who vanquished demons are cited.
During the eight or ninth day, Kanya Poojan, pre-pubescent girls are ceremonially worshiped.
Navaratri is celebrated in different ways throughout India. In North India, all three Navratris are celebrated with much fervor by fasting on all nine days and worshipping the Mother Goddess in her different forms. The Chaitra Navratri culminates in Ram Navami and the Sharad Navratri culminates in Durga Puja and Dussehra. The Dussehra ofKulu in Himachal Pradesh is particularly famous in the North. Navratri festival in Gujarat is one of the main festivals. Garba is dance which people use to dance after the Durga Pooja with the groups and live orchestra or devotional songs.
The last four days of Sharad Navratri take on a particularly dramatic form in the state of West Bengal in East India where they are celebrated as Durga Puja.
Durga Puja In Kolkatta
This is the biggest festival of the year in this state. Exquisitely crafted and decorated life-size clay idols of the Goddess Durga depicting her slaying the demon Mahishasura are set up in temples and other places. These idols are then worshipped for five days and immersed in the river on the fifth day.
In Western India, particularly in the state of Gujarat, Navratri is celebrated with the famous Garba and Dandiya-Raas dance.
Colourful Dandiyas
Colourful Dandiya-Raas dance.
Since the past few years, the Government Of Gujarat has been organising the "Navratri Festival Celebrations" on a regular basis for the nine days of Navratri Festival in Gujarat. People from all over Gujarat and even abroad come to participate in the nine days celebrations. It is also popular throughout India and among Indian communities around the world including the UK, Canada and USA.
In Goa, zatra begins during Navratri, entire Antruz (Ponda) is highly ornated. The Saraswat Brahmin temples are beautifully decorated and the idols are taken out for worship. The idols are dressed and adorned with flowers, sandalwood paste, turmeric and kumkum. Devotees come during Navaratri to get the special darshan and what mostly a devotee awaits is the Kaul Prasad, which is as something given from the Gods and Goddess itself. The Deities are emblazoned with flowers and devotees or priests continue to worship the deity without even changing the flowers on them. At the end of the festive night the flowers are distributed as Prasad for the devotees. The Dasha Maitrikas (the 10 sisters of Goa) of the Saraswat Brahmins are taken out to worship - namely, Shantadurga, Aryadurga, Mahalasa, Katyayani, Mahamaya, Kamakshi, Vijayadurga, Bhumika, Mahalakshmi and Navadurga.
In South India, people set up steps and place idols on them. This is known as golu.
Golu in a house in South India during Navratri
In Karnataka, Ayudha Puja, the ninth day of Dasara, is celebrated with the worship of implements used in daily life such as computers, books, vehicles, or kitchen tools.
The effort to see the divine in the tools and objects one uses in daily life is central to this celebration, so it includes all tools that help one earn one's livelihood. Knowledge workers go for books, pen or computers, farmers go for the plough and other agricultural tools, machinery for industrialists and cars/buses/trucks for the transportation workers—all are decorated with flowers and worshipped on this day invoking God's blessing for success in coming years. It is believed that any new venture such as starting of business or purchasing of new household items on this day is bound to bring success and properity.
In Kerala, three days: Ashtami, Navami, and Vijaya Dashami of Sharad Navaratri are celebrated as Sarasvati Puja in which books are worshipped. The books are placed for Puja on the Ashtami day in own houses, traditional nursery schools, or in temples. On Vijaya Dashami day, the books are ceremoniously taken out for reading and writing after worshipping Sarasvati. Vijaya Dashami day is considered auspicious for initiating the children into writing and reading, which is called Vidyarambham. Tens of thousands of children are initiated into the world of letters on this day in Kerala.
In Telangana region of Andhra Pradesh, people celebrate Bathukamma festival over a period of nine days. It is a kind of navratri celebration.
Source and for other details: http://en.wikipedia.org/wiki/Navratri