1. A method of performing database replication, the method comprising: generating, at a producer cluster, a binary change log based on a write transaction made to a database partition in the producer cluster; including with the binary change log a sequence number corresponding to the write transaction; transmitting the binary change log from the producer cluster to a consumer cluster; determining, at the consumer cluster, whether to apply the binary change log based on the sequence number included with the binary change log; applying the binary change log to a database partition in the consumer cluster; and storing, at the consumer cluster, the sequence number by combining the sequence number with a numerical range comprising a first number and a second number, the second number comprising a value corresponding to a most recent binary change log applied to the database partition in the consumer cluster.