These are instructions on how to Update and Jailbreak to 1.1.3 iPhone Firmware using the Official Dev Team Method.

The Windows version of this tutorial can be found here:
http://iclarified.com/entry/index.php?enid=610

I highly recommend using the Installer method of this tutorial. It is much easier and less prone to error. It can be found here:
http://iclarified.com/entry/index.php?enid=611


To follow these instructions you need to have a 1.1.2 Jailbroken iPhone. You can find instructions on how to do this here:

Windows: http://www.iclarified.com/entry/index.php?enid=461
Mac: http://www.iclarified.com/entry/index.php?enid=455

PREPARE THE PHONE
Step One
Press to select Settings from your springboard.


Step Two
Press to select General from the list of categories.


Step Three
Press to select Auto-Lock from the General menu.


Step Four
Press to select Never from the list of Auto-Lock times.


Step Five
Press the Home button to return to your springboard.

Step Six
Press to select Installer from your springboard.


Step Seven
Press Donate Later to continue into the Installer app. Note: Come back later and donate as this app is helping you out a ton!


Step Eight
Press to select the Install tab at the bottom of the screen.


Step Nine
Press to select the System category.


Step Ten
Press to select BSD Subsystem from the list of packages.


Step Eleven
Press to select the Install button at the top right.

Step Twelve
Press the Install button to confirm installation.


NOTES***: Make sure if you haven't already that you update to the latest version of Installer. This is very important because the old version won't work in 1.1.3.

INSTALL THE JAILBREAK
Step One
Download the Jailbreak from: here

Step Two
Double click the downloaded file (Jailbreak-1.1.3.tar.gz) to extract it.


Step Three
Launch Fugu by clicking its icon in the dock.


Step Four
Enter your iPhone's IP Address into the Connect to: field. Enter root as the Username: and click the Connect button.


If you don't know your iPhone's IP Address you can find it here:
http://www.iclarified.com/entry/index.php?enid=496

Step Five
If prompted for a password enter alpine or dottie and click the Authenticate button.


Step Six
Select / from the Remote Folder Dropdown Menu (right pane).




Step Seven
In the left pane navigate to the Jailbreak-1.1.3 folder.


Step Eight
Select all the files in the left pane and drag them to the right pane to copy them to your iPhone


Step Nine
Launch the Terminal application from Applications:Utilities.


Step Ten
SSH into your iPhone by entering the following command into Terminal:
ssh root@192.168.0.100 (replace the IP I used here with the one for your iPhone)


Step Eleven
When prompted for a password enter alpine or dottie.


Step Twelve
Enter the following commands to start the install:

cd /
sh install.sh


Step Thirteen
The script will download the firmware from Apple once it finishes it will just sit there for a few minutes. Don't worry this is normal.


Step Fourteen
It will then display some encryption information and sit there for a few minutes. Don't worry this is normal.


Step Fifteen
The script will then display some partition information and sit there for another few minutes. Don't worry this is normal.


Step Sixteen
The script will then continue to patch your iPhone. It will take several minutes for this to complete and then it will sit there for a longer several minutes again. Once its complete the SSH connection will terminate!


Step Seventeen
After about a minute your iPhone will reboot into a Jailbroken 1.1.3 iPhone !!!!


NOTES***: You can find a solution to the iTunes sync problems with this jailbreak here:
http://www.iclarified.com/entry/index.php?enid=612

THANKS***: asap18, bgm, Bugout, bushing, chris_, davidc__, dinopio, drudge, Fred_, ghost_000, gray, MuscleNerd, NerveGas, netkas, np101137, planetbeing, pr3d4k4t, pr3d4t0r, pumpkin, roxfan, Turbo, Whiterat, Zibri, Zf