When encoding several numbers in sequence, we simply concatenate the encodings of the individual numbers. The gamma code is an example of a prefix-free code: no codeword is a prefix of another codeword. Due to this property, the encoding of every string has a unique prefix which is a codeword; this prefix encodes the first number. After removing it, you continue to find the second number, and so on, until exhausting the string.
As an example, let's decode 000100000100. The only prefix forming a codeword is 0001000, encoding 8. Removing this, we are left with 00100, which encodes 4. So the complete decoded sequence is 8,4.
As an aside, the gamma code is complete, which means that almost every infinite string (in fact, every infinite string other than $0^\omega$) is the encoding of some infinite sequence of numbers.