  Understanding the rheology of colloidal suspensions is crucial in the
formulation of a wide selection of industry-relevant products. To characterise
the viscoelastic behaviour of these soft materials, one can analyse the
microscopic dynamics of colloidal tracers diffusing through the host fluid and
generating local deformations and stresses. This technique, referred to as
microrheology, links the bulk rheology of fluids to the microscopic dynamics at
the particle scale. If tracers are subjected to external forces, rather than
freely diffusing, it is called active microrheology. Motivated by the impact of
microrheology in providing information on local structure in complex systems
such as colloidal glasses, active matter or biological systems, we have
extended the dynamic Monte Carlo (DMC) technique to investigate active
microrheology in colloids. The original DMC framework, able to accurately
describe the Brownian dynamics of colloids at equilibrium, is here reconsidered
and expanded to describe the effects of an external force pulling a tracer
embedded in isotropic colloidal suspensions at different densities. To this
end, we studied the dynamics of a spherical tracer dragged by a constant
external force through a bath of spherical and rod-like particles of comparable
size. We could extract valuable details on its effective friction coefficient,
being constant at small and large values of the external force, but otherwise
displaying a nonlinear behaviour that indicates the occurrence of a
force-thinning regime. Our DMC simulation results are in excellent quantitative
agreement with past Langevin dynamics simulations and theoretical works for the
bath of spherical colloids. The bath of rod-like particles is studied in the
isotropic phase, and displays an example where DMC is more convenient than
Brownian or Langevin dynamics, in this case in dealing with particle rotation.
