Thoroughly sweep the floor all along the edges, by the baseboard.
Fill a bucket with warm water. Put a sponge in it.
Load your caulk gun with a tube of caulk. Cut a hole in the pointed plastic finger at the end of the tube, making it about an 1/8 inch long at a 45-degree angle off the very end. Stick a long nail down into the hole to break the seal inside and release the caulk.
Press the tip of the caulk tube next to the baseboard starting in a corner. Squeeze the trigger and slowly pull the caulk gun backward, to lay a smooth, even line of caulk between the floor and the baseboard.
Stop caulking about every three feet, wring out the sponge, and run it along the caulk line to flatten the caulk and feather it at the edges. Resume caulking the next section, stopping after about three feet to flatten and feather the line. Rinse the sponge clean between each section.
Do the whole perimeter of the floor. Let it set for at least 24 hours before resuming use of the room.