Microfluidic devices and methods for the encapsulation of particles within liquid droplets are disclosed. The new methods and devices form 1-100 picoliter-size monodisperse droplets containing the particles, such as single cells, encapsulated in individual liquid droplets. The particles can be encapsulated in droplets of a fluid by passing a fluid containing the particles through a high aspect-ratio microchannel to order the particles in the fluid, followed by forming the fluid into droplets. The resulting fraction of the liquid droplets with a single particle (e.g., a cell) is higher than the corresponding fraction of single-particle liquid droplets predicted by Poisson statistics.