TYPO3 Core

Same here, but with governmentpackage-6.0.0beta2.

Step-by-step:
(1) tar -xvzf governmentpackage-6.0.0beta2.tar.gz
(2) sudo chown -R www-data:www-data governmentpackage-6.0.0beta2
(3) call in browser (remote server)
(4) see attached screenshot

ENABLE_INSTALL_TOOL file is already there in government package.

Debian Squeeze

$ uname -a
Linux t3-2 2.6.32-5-686-bigmem #1 SMP Mon Jun 13 05:03:09 UTC 2011 i686 GNU/Linux

$ php5 -version
PHP 5.3.3-7+squeeze9 with Suhosin-Patch (cli) (built: May  9 2012 07:20:37) 
Copyright (c) 1997-2009 The PHP Group
Zend Engine v2.3.0, Copyright (c) 1998-2010 Zend Technologies
    with Xdebug v2.1.0, Copyright (c) 2002-2010, by Derick Rethans

$ dpkg -l | grep -i php
rc  libapache2-mod-php5                      5.2.6.dfsg.1-1+lenny4        server-side, HTML-embedded scripting language (Apache 2 module)
ii  libapache2-mod-php5filter                5.3.3-7+squeeze9             server-side, HTML-embedded scripting language (apache 2 filter module)
ii  php-apc                                  3.1.3p1-2                    APC (Alternative PHP Cache) module for PHP 5
ii  php-pear                                 5.3.3-7+squeeze9             PEAR - PHP Extension and Application Repository
ii  php5                                     5.3.3-7+squeeze9             server-side, HTML-embedded scripting language (metapackage)
ii  php5-cli                                 5.3.3-7+squeeze9             command-line interpreter for the php5 scripting language
ii  php5-common                              5.3.3-7+squeeze9             Common files for packages built from the php5 source
ii  php5-curl                                5.3.3-7+squeeze9             CURL module for php5
ii  php5-dev                                 5.3.3-7+squeeze9             Files for PHP5 module development
ii  php5-gd                                  5.3.3-7+squeeze9             GD module for php5
ii  php5-mcrypt                              5.3.3-7+squeeze9             MCrypt module for php5
ii  php5-memcache                            3.0.4-4+squeeze1             memcache extension module for PHP5
ii  php5-memcached                           1.0.2-1+squeeze1             memcached extension module for PHP5
ii  php5-mysql                               5.3.3-7+squeeze9             MySQL module for php5
rc  php5-xcache                              1.3.0-7                      Fast, stable PHP opcode cacher
ii  php5-xdebug                              2.1.0-1                      Xdebug Module for PHP 5
ii  php5-xmlrpc                              5.3.3-7+squeeze9             XML-RPC module for php5
ii  php5-xsl                                 5.3.3-7+squeeze9             XSL module for php5
ii  phpmyadmin                               4:3.3.7-7                    MySQL web administration tool

$ dpkg -l | grep -i apache
ii  apache2                                  2.2.16-6+squeeze7            Apache HTTP Server metapackage
ii  apache2-mpm-prefork                      2.2.16-6+squeeze7            Apache HTTP Server - traditional non-threaded model
ii  apache2-utils                            2.2.16-6+squeeze7            utility programs for webservers
ii  apache2.2-bin                            2.2.16-6+squeeze7            Apache HTTP Server common binary files
ii  apache2.2-common                         2.2.16-6+squeeze7            Apache HTTP Server common files
rc  libapache2-mod-php5                      5.2.6.dfsg.1-1+lenny4        server-side, HTML-embedded scripting language (Apache 2 module)
ii  libapache2-mod-php5filter                5.3.3-7+squeeze9             server-side, HTML-embedded scripting language (apache 2 filter module)
ii  libapache2-mod-python                    3.3.1-9+b1                   Python-embedding module for Apache 2
ii  libapr1                                  1.4.2-6+squeeze4             The Apache Portable Runtime Library
ii  libaprutil1                              1.3.9+dfsg-5                 The Apache Portable Runtime Utility Library
ii  libaprutil1-dbd-sqlite3                  1.3.9+dfsg-5                 The Apache Portable Runtime Utility Library - SQLite3 Driver
ii  libaprutil1-ldap                         1.3.9+dfsg-5                 The Apache Portable Runtime Utility Library - LDAP Driver

Fixed with change in issue #41245