To find the number of days \( d \) it will take Mrs. Stevenson to give away all her pencils, we can set up the relationship between the total number of pencils she starts with, the number she hands out each day, and the total number of pencils given away.
Mrs. Stevenson starts with 200 pencils and hands out 5 pencils each day. We want to find the number of days until she has given away all 200 pencils, which can be represented by the equation:
\[
200 - 5d = 0
\]
This expression represents that, starting with 200 pencils, after giving away \( 5d \) pencils (5 pencils for each day \( d \)), she will reach zero pencils.
Therefore, the correct equation that can be used to find \( d \) is:
**B**
\( 200 - 5d = 0 \)
This is the correct choice.