Let K be a hyperbolic, fibered knot in . Then the exterior is regarded as a mapping torus of a compact, once punctured surface with a monodromy isotopic to a pseudo-Anosov automorphism. Performing a longitudinal surgery on K, we obtain a 3-manifold which is naturally regarded as the mapping torus of the capped off surface with the capped off monodromy; the dual knot (the core of the filled solid torus in the resulting 3-manifold) is a section for the surface bundle. Generically the resulting 3-manifold is still hyperbolic, in other words, the capped off monodromy is still isotopic to a pseudo-Anosov automorphism. Gabai found a hyperbolic, fibered knot in on which a longitudinal surgery produces a toroidal manifold, and now it is known that there are infinitely many such hyperbolic, fibered knots. On the other hand, there have been no known examples of hyperbolic, fibered knots in with longitudinal, Seifert fibered surgeries, and Teragaito asks if there are no such examples. We give an answer this question by constructing an infinite family of hyperbolic, fibered knots in each of which admits a longitudinal, Seifert fibered surgeries. Besides our examples show existence of boundary slopes which can be also Seifert fibered slopes. We also give a condition assuring that the given section in a Seifert fibered, surface bundle over the circle is hyperbolic in terms of the "projection" in the fiber surface.