Consider a Gaussian spherical surface covering a dipole of charge q and -q, then

${\text{q}}_{\mathrm{in}}=0$ (net charge enclosed by the spherical surface)

${\mathrm{\varphi }}_{\text{net }}=0$ (net flux coming out the spherical surface) 

E = 0 at all points on the spherical surface 

$\int \overrightarrow{\mathrm{E}}\cdot \mathrm{d}\overrightarrow{\mathrm{s}}=0$ (surface integral of over the spherical surface)