The problem of deconvolution is common to many branches of science, technology, medicine, etc. It always occurs when it is necessary to remove an instrumental distortion from a measured signal. The deconvolution belongs to the category of inverse problems which are often ill-posed, incorrect - the existence, unambiguity and stability of the solution are not a priori warranted. Connections among various deconvolution methods will be indicated, some practical recommendations will be given and examples from the deconvolution of X-ray diffraction profiles will be presented.