Final answer:
To stop Chrome from showing previous searches, you can clear your browsing data.
Step-by-step explanation:
Your steps are accurate for clearing browsing data, which includes stopping Chrome from showing previous searches. Here's a summarized version:
Open Chrome, click the three dots in the top-right.
Select 'Settings'.
Scroll down, click 'Advanced'.
Under 'Privacy and security', click 'Clear browsing data'.
In the popup, select 'Browsing history' and other desired data.
Click 'Clear data' to remove the selected data, including previous searches.
This process ensures that your browsing history, including search records, is cleared from Chrome.