To determine how much gold will be in each piece of the necklace when it is cut into 5 equal parts, we follow these steps:
1. Identify the Total Weight of Gold: We are given that the total amount of gold in the necklace is 100.916 grams.
2. Determine the Number of Equal Parts: The necklace will be cut into 5 equal parts.
3. Calculate the Amount of Gold per Part:
- We need to divide the total amount of gold by the number of parts. This can be done by dividing 100.916 grams by 5.
4. Perform the Division:
- When we divide 100.916 grams by 5, we get 20.1832 grams.
Therefore, each of the 5 equal parts will contain 20.1832 grams of gold.