Please include your system information as requested at https://github.com/ValveSoftware/steam-for-linux#reporting-issues.

We now have a Dota2 bug tracker located over at https://github.com/ValveSoftware/Dota-2 that we prefer users use to report Dota2 bugs.

It's not problem of dota 2, it's problem of the steam server, i run steam today and it begun to download dota 2 again. After downloading I'll write if it download or now.

System information:

Процессор:
Поставщик: GenuineIntel
Тактовая частота: 2666 МГц
Кол-во логических процессоров: 4
Кол-во физических процессоров: 2
HyperThreading: Поддерживается

Сеть:
Скорость соединения:

Версия ОС:
Ubuntu 12.04.2 LTS (32 бит)
Название ядра: Linux
Версия ядра: 3.5.0-18-generic
Поставщик X Server: The X.Org Foundation
Версия X Server: 11103000
Менеджер окон X Window System: Compiz
Версия клиента Steam: steam-runtime-release-i386_2013-06-28

Видеокарта:
Модель: ATI Technologies Inc. AMD Radeon HD 6300M Series
Версия драйвера: 4.2.12217 Compatibility Profile Context 12.104

Звуковая карта:
Аудио устройство: Conexant CX20585

Память:
Оперативная память: 3888 МБ

The same problem again, download to 81% and stop downloading

@kele6ra is that your whole steam system information? Would you also attach Steam/logs/download_log.txt

Steam/logs/download_log.txt
[2013-02-23 10:07:12]: Log session started
[2013-02-23 10:07:12]: AppID 10 is now marked downloading
[2013-02-23 10:08:44]: AppID 10 is now marked not downloading
[2013-02-23 10:08:44]: Log session ended

[2013-02-23 10:08:57]: Log session started
[2013-02-23 10:08:57]: AppID 10 is now marked downloading

[2013-02-23 10:34:42]: Log session started
[2013-02-23 10:34:42]: AppID 10 is now marked downloading
[2013-02-23 10:37:44]: SetHasAllLocalContent(true) called for 10
[2013-02-23 10:37:44]: AppID 10 is now marked not downloading
[2013-02-23 10:47:35]: Log session ended

[2013-04-03 11:46:33]: Log session started
[2013-04-03 11:46:33]: SetHasAllLocalContent(false) called for 10
[2013-04-03 11:46:33]: AppID 10 is now marked downloading
[2013-04-03 11:47:24]: AppID 10 is now marked not downloading
[2013-04-03 11:47:24]: Log session ended

[2013-04-03 11:47:36]: Log session started
[2013-04-03 11:47:36]: AppID 10 is now marked downloading
[2013-04-03 11:49:08]: AppID 10 is now marked not downloading
[2013-04-03 11:49:08]: Log session ended

[2013-04-03 11:49:24]: Log session started
[2013-04-03 11:49:24]: AppID 10 is now marked downloading
[2013-04-03 11:52:12]: SetHasAllLocalContent(true) called for 10
[2013-04-03 11:52:12]: AppID 10 is now marked not downloading
[2013-04-03 11:52:20]: Log session ended

I have also run into this issue on my Arch Linux x64 system with a DotA 2 download consistently hanging on exactly 82% (3.1/3.7GB), even after completely deleting and redownloading the game up to that point from different content servers.
The download starts and runs as expected, but the connection speed for that game suddenly drops off to zero at 82%. I will be experimenting a bit more after completely reinstalling Steam on this machine.

Update:
An complete reinstall of steam (including the .config, binaries etc) did not help. Copying a full "dota 2 beta" folder and the app manifest from SteamApps of another Linux machine resolves the problem, since Steam is able to launch the game then. Unfortunately I have run into the same issue with TF2 now, stalling at around 79%. Changing client language and content download servers did not seem to have any effect after restarting the client.

Processor Information:
    Vendor:  GenuineIntel
    CPU Family:  0x6
    CPU Model:  0x3a
    CPU Stepping:  0x9
    CPU Type:  0x0
    Speed:  3800 Mhz
    4 logical processors
    4 physical processors
    HyperThreading:  Unsupported
    FCMOV:  Supported
    SSE2:  Supported
    SSE3:  Supported
    SSSE3:  Supported
    SSE4a:  Unsupported
    SSE41:  Supported
    SSE42:  Supported

Network Information:
    Network Speed:  

Operating System Version:
    Linux (64 bit)
    Kernel Name:  Linux
    Kernel Version:  3.10.10-1-ARCH
    X Server Vendor:  The X.Org Foundation
    X Server Release:  11402000
    X Window Manager:  GNOME Shell
    Steam Runtime Version:  steam-runtime-release_2013-09-05

Video Card:
    Driver:  NVIDIA Corporation GeForce GTX 670/PCIe/SSE2

    Driver Version:  4.3.0 NVIDIA 325.15
    OpenGL Version: 4.3
    Desktop Color Depth: 24 bits per pixel
    Monitor Refresh Rate: 59 Hz
    VendorID:  0x10de
    DeviceID:  0x1189
    Number of Monitors:  2
    Number of Logical Video Cards:  1
    Primary Display Resolution:  1920 x 1080
    Desktop Resolution: 3200 x 1283
    Primary Display Size: 20,08" x 11,42"  (23,07" diag)
                                            51,0cm x 29,0cm  (58,6cm diag)
    Primary Bus: PCI Express 16x
    Primary VRAM: 2048 MB
    Supported MSAA Modes:  2x 4x 8x 16x 

Sound card:
    Audio device: Intel PantherPoint HDMI

Memory:
    RAM:  15939 Mb

Miscellaneous:
    UI Language:  English
    LANG:  de_DE.utf8
    Microphone:  Not set
    Total Hard Disk Space Available:  239229 Mb
    Largest Free Hard Disk Block:  215104 Mb

Installed software:

Recent Failure Reports:
    Wed Sep 11 20:35:29 2013 GMT: file ''/tmp/dumps/assert_20130911223507_20.dmp'', upload yes: ''CrashID=bp-37615457-339f-4c62-a3ba-766602130911''
    Wed Sep 11 20:46:09 2013 GMT: file ''/tmp/dumps/assert_20130911224555_20.dmp'', upload yes: ''CrashID=bp-7f578319-5ed3-4fa1-9c63-e66192130911''