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Maps that relate all possible genotypes or phenotypes to fitness--fitness landscapes--are central to the evolution of life, but remain poorly known. An insertion or a deletion (indel) of one or several amino acids constitutes a substantial leap of a protein within the space of amino acid sequences, and it is unlikely that after such a leap the new sequence corresponds precisely to a fitness peak. Thus, one can expect an indel in the protein-coding sequence that gets fixed in a population to be followed by some number of adaptive amino acid substitutions, which move the new sequence towards a nearby fitness peak. Here, we study substitutions that occur after a frame-preserving indel in evolving proteins of Drosophila. An insertion triggers 1.03 ± 0.75 amino acid substitutions within the protein region centred at the site of insertion, and a deletion triggers 4.77 ± 1.03 substitutions within such a region. The difference between these values is probably owing to a higher fraction of effectively neutral insertions. Almost all of the triggered amino acid substitutions can be attributed to positive selection, and most of them occur relatively soon after the triggering indel and take place upstream of its site. A high fraction of substitutions that follow an indel occur at previously conserved sites, suggesting that an indel substantially changes selection that shapes the protein region around it. Thus, an indel is often followed by an adaptive walk of length that is in agreement with the theory of molecular adaptation.