Remove calls to deprecated MessageLoop methods in remoting.

Remove calls to deprecated MessageLoop methods in remoting.

This CL (hopefully) removes all calls to these methods in remoting:
- MessageLoop::PostTask
- MessageLoop::PostDelayedTask
- MessageLoop::DeleteSoon
- MessageLoop::ReleaseSoon
- MessageLoop::Run
- MessageLoop::RunUntilIdle

BUG=616447
R=sergeyu@chromium.org

Committed: https://crrev.com/259095f84708e39cafdebaed6b05f7568125ac73
Cr-Commit-Position: refs/heads/master@{#416773}

[fdoray, 2016-09-06 20:29:43]

The CQ bit was checked by fdoray@chromium.org to run a CQ dry run

[commit-bot: I haz the power, 2016-09-06 20:30:54]

Dry run: CQ is trying da patch. Follow status at
 
https://chromium-cq-status.appspot.com/v2/patch-status/codereview.chromium.or...

[commit-bot: I haz the power, 2016-09-06 21:27:15]

The CQ bit was unchecked by commit-bot@chromium.org

[commit-bot: I haz the power, 2016-09-06 21:27:16]

Dry run: This issue passed the CQ dry run.

[fdoray, 2016-09-06 21:56:50]

PTAL

[Sergey Ulanov, 2016-09-06 23:25:19]

lgtm

[fdoray, 2016-09-06 23:26:14]

The CQ bit was checked by fdoray@chromium.org

[commit-bot: I haz the power, 2016-09-06 23:26:47]

CQ is trying da patch. Follow status at
 
https://chromium-cq-status.appspot.com/v2/patch-status/codereview.chromium.or...

[commit-bot: I haz the power, 2016-09-06 23:30:49]

Committed patchset #1 (id:1)

[commit-bot: I haz the power, 2016-09-06 23:33:20]

Description was changed from

==========
Remove calls to deprecated MessageLoop methods in remoting.

This CL (hopefully) removes all calls to these methods in remoting:
- MessageLoop::PostTask
- MessageLoop::PostDelayedTask
- MessageLoop::DeleteSoon
- MessageLoop::ReleaseSoon
- MessageLoop::Run
- MessageLoop::RunUntilIdle

BUG=616447
R=sergeyu@chromium.org
==========

to

==========
Remove calls to deprecated MessageLoop methods in remoting.

This CL (hopefully) removes all calls to these methods in remoting:
- MessageLoop::PostTask
- MessageLoop::PostDelayedTask
- MessageLoop::DeleteSoon
- MessageLoop::ReleaseSoon
- MessageLoop::Run
- MessageLoop::RunUntilIdle

BUG=616447
R=sergeyu@chromium.org

Committed: https://crrev.com/259095f84708e39cafdebaed6b05f7568125ac73
Cr-Commit-Position: refs/heads/master@{#416773}
==========

[commit-bot: I haz the power, 2016-09-06 23:33:20]

Patchset 1 (id:??) landed as
https://crrev.com/259095f84708e39cafdebaed6b05f7568125ac73
Cr-Commit-Position: refs/heads/master@{#416773}