The processes of the interaction of fast deuterons with nucleonsdN pX, when the proton is scattered at a large angle inN – N c.m.s. are analysed. There the wave function of a relativistic deuteron in dynamics of the light cone is used. It is shown that, as in the processes of the deuteron fragmentation type, it is necessary to take into account, the graphs of rescattering and absorption of the-meson by a deuteron nucleon, as well as a non-nucleon, quark, degree of freedom in the deuteron. The comparison of the theoretical calculations with the experimental data is performed.