Easy enough to do in Contract 3, the first of the missions featuring blood to clean up. Just reload the Contract until you get a nice big pool of blood right near the starting spot in the upper left corner. The detectives will leave you alone for several seconds at a time and it's easy to predict when they will return to that spot.
Then, just run back and forth over the puddle and your character will slide a fraction of a second each time. In fact, if the puddle is big enough, you can simply slide back and forth on it by jiggling the stick until the achievement pops.