With the help of Monte Carlo simulation we study flows in very narrow channels in transitional regime. The standard difficulty of large statistical scattering in Monte Carlo simulation results, which for these problems is especially severe because of the small values of mean gas velocities in comparison with the thermal molecular speeds, has been overcomed by enlarging the samples through Internet connection of several clusters into a metacomputer. Special dynamic load balancing technique under distributed memory conditions was developed. It is described in detail and quantitative estimation of its performance is given. It is shown in particular that under condition of only 1 Mb/s Internet channel it is possible to obtain efficiency of processor’s utilisation as high as 93% – 94%. This is just 2% – 3% lower than for pure separate computation on the same cluster. Some numerical simulation results are outlined.