The Way of the Voice starts during the dialogue you have with Jarl Balgruuf the Greater and his brother Hrongar. Other characters that appear during this quest are Lydia, Master Arngeir, Master Borri, Master Einarth, Master Wulfgar, and Proventus Avenicci.
To complete this quest, you have to visit High Hrothgar, Ivarstead, High Hrothgar Courtyard, Whiterun and Dragonsreach.
In order to receive your first objective for this quest, continue your dialogue with Jarl Balgruuf, as he will offer useful information about the Greybeards.
He tells you that in order to find them you have to climb the Throat of the World and that they can convert your vital essence into a Thuum or a shout.
Jarl Balgruuf, also tells you that the Greybeards are located in High Hrothgar. Additionally you will receive the Axe of Whiterun, a follower named Lidya and you will become the Thane of Whiterun.
NOTE: At this point, you are able to have a follower: Lidya. If you decide to take her with you in your journey, make sure you give her a weapon and armor. If not, she will wait for you in Dragonsreach, until you call for her.
Objective 1: Speak to the Greybeards
A long journey awaits for your hero if you wish to reach the Greybeards, so make sure you are ready for it, and you have enough supplies.
When you leave Whiterun, go east.
After you pass the Honningbrew Meadery, you will reach a stone bridge and you will see a sign showing you the right direction to Ivarstead (which is a small village located at the base of the mountain you have to climb).
Move along the path, but stay alert because several wolves will attack you.
Continue forward until you reach a crossroad.
NOTE: Now, you have to decide the path you want to follow. If you continue on the marked path, your journey will be longer. If you follow the other path, you will reach Ivarstead faster. The decision is yours, however you should keep in mind that a longer journey means more opponents and more experience for you. Trying to climb the mountain directly will eventually get you killed.
If you continue on the marked road, you will reach the Valtheim Towers where you have to pay some bandits, or you can kill them.
Move forward and until you see a waterfall, and continue pass the entrance to Hillgrunds Tomb.
Cross the bridge over Darkwater River and then go south and southeast, near Fort Amol.
You will cross another bridge and then some sabre cats will attack you.
Stick to the road until you see another waterfall and then go east, and up on the hill.
You will notice that the bricks on the road start to disappear, which means that you are on the right track.
Go southeast and around the Snapleg Cave, until you enter the forest and you see the Sarethi Farm.
Follow the path, cross Treva River using the bridge, and then go west deeper into the forest.
When you reach the Honeystrand Cave, go northwest and cross the final bridge that stands between you and Ivarstead.
Ivarstead is a quiet place since most people are already leaving. There isnt much to do here, except to listen to their stories about the 7,000 steps you have to climb, and how dangerous the journey is.
You can spend some time here, or you can leave immediately. Your journey begins when you exit the town and you cross the stone bridge.
After the bridge, you will see a small shrine. Make sure you investigate it and you will find an Etched Tablet containing some verses.
Read the tablet and continue your ascend.
NOTE: There are ten shrines and ten Etched Tablets you have to find on your way to the top.
Move forward and near the second shrine you will see a hunter praying. Talk to him and read the tablet. Barknar (the hunter) tells you that the road ahead is filled with wolves.
The third shrine is located on a plateau, while the fourth is near some stones. You may find Karita there.
Continue up on the mountain but be careful because a troll will attack you. Kill him or run. Behind the troll is the fifth shrine.
Move north and go down several steps until you see some desolated trees and a stone marker. The location marks the sixth shrine.
The seventh shrine is located on a cliff to the west. Turn north and to your left, in front of a ridge you will see the eighth shrine.
Advance and you will see the statue of Talos and eventually you will find the ninth shrine.
The last shrine is located near the stairs that take you inside the High Hrothgar monastery. Look to your right while facing the entrance.
Follow the stairs up, pick up all supplies you can find and enter the monastery.
Arngeir, the leader of the Greybeards, will welcome you, and he knows who you are. Talk to him and you will receive a new objective.
Objective 2: Demonstrate your Unrelenting Force Shout
Open the magic menu and select the Unrelenting Force Shout. Demonstrate your abilities to Arngeir and you will see that three additional Greybeards appear: Borri, Einarth, and Wulfgar.
Talk to Arngeir and tell him you want to learn more. Arngeir will accept to train you and your objective will change again.
Objective 3: Learn the Word of Power from Einarth
Arngeir explains that each shout contains three words, but currently you master only one. The second word you have to learn is Ro, a word that you have to learn from Einarth.
Watch Einarth and you will see him shouting, and then position your character on the glowing dragons, to absorb the second word.
After you absorb the second word, talk to Arngeir and he will share his knowledge with you, and then he will put you to a test.
Objective 4: Demonstrate your Unrelenting Force Shout three times
To complete the objective you have to calculate the exact time you keep the Shout button pressed, in order to increase or decrease its strength. If you wish to diminish the strength of your shout, tap the button, but if you wish to increase its power, hold the button pressed.
Perform this action three times and Arngeir will be satisfied. Now, you have to join master Borri into the courtyard.
Objective 5: Learn the Word of Power from Borri
Go outside with Borri and absorb the new word (Wuld) by standing on the snow where he projected the Shout.
Approach Borri and he will transfer his knowledge to you, and then he will ask you to complete his test.
Objective 6: Demonstrate your Whirlwind Sprint Shout
To complete this test you must pass through the iron gate before it closes. After you receive this objective, select the Whirlwind Sprint Shout from the menu and position your character between the two stone pillars located in front of the gate.
Make sure you are facing Wulfgar, and as soon as the gate opens, execute the shout and run forward.
A good idea is to target the pillar you see near the edge of the cliff.
After you complete this objective, talk to Arngeir and he will congratulate you; however, you find out that the final test is only beginning.
To finish your training, you must retrieve The Horn of Jurgen Windcaller, which is also the name of the next main-quest featured in the first Skyrim act.