Because JoomShaper Quickstart includes demo content, additional extensions and their settings it requests good PHP settings. Firstly check all mentioned before technical requirements. Especially if you noticed during QuickStart installation on localhost never ending installation or it stuck/freezes on creating tables.

Installation of Quickstart with Joomla! requires a properly configured server and localhost infrastructure.
Check then change your PHP settings:

• PHP version 7.0.x or 5.6
• memory_limit --> at least 64M (128M or 256M suggested)
• max_execution_time --> at least 200 (seconds) *
• Magic Quotes GPC --> off
• Then restart Apache.

If those settings will not help - please make small customization:

Make customization of quickstart

• Open in your text editor the following files:
  installation\sql\mysql\joomla.sql
  and
  installation\sql\mysql\sample_data.sql
• Find all instances of ENGINE=InnoDB and change/replace to ENGINE=MyIsam
• Now return in your installation procedure one step back and try again.
• Use MySQL in choose field not MySQLi if you still have problems with database step.

------
* Once the install has completed go back and change it back to a value no more than 60.
** MyISAM is more supported and compatible with Joomla! in localhost environment.