Certainly! Here is the passage with the mistakes corrected:

Have you ever stopped **to think** about the things you eat with? While knives have been known since **ancient** times, forks have been with us for a **much** shorter time. Most people in the West almost always used their fingers to eat until the fork became common at the end of the seventeenth century. People would have knives to cut their meat and a kind of spoon to eat soup with, but the fork as we know **it** these days was rare. However, forks did exist in the kitchen. These were large and used for holding meat while it was being cut.

Forks for eating **were** first introduced into Europe through the Byzantine Empire in about 1100 and slowly spread **northward** through Italy and France. In the sixteenth century, rich people in England began to carry a case **containing** a knife, fork, and spoon, which they would use when they ate.

Through the eighteenth and nineteenth centuries, knives and forks became more **like** we know them today. They were produced in large amounts and became the traditional way of eating in Western countries.

Here is a summary of the corrections made:
1. "stopped thinking" to "stopped to think"
2. "old times" to "ancient times"
3. "very shorter time" to "much shorter time"
4. "fork as we know these days" to "fork as we know it these days"
5. "Forks for eating was" to "Forks for eating were"
6. "northerly" to "northward"
7. "rich people in England began to carry a case contained" to "rich people in England began to carry a case containing"
8. "alike we know them today" to "like we know them today"
9. Added a period after "France" to separate the sentences.
10. Added a comma after "knife, fork" in the list for clarity.