$1\,esu = 3.33 \times {10^{ - 10}}\,C$

$\frac{{1\,e}}{{1\,esu}} = \frac{{1.602 \times {{10}^{ - 19}}\,C}}{{3.33 \times {{10}^{ - 10}}\,C}}$

$1\,e = 4.802 \times {10^{ - 10}}\,esu\,$

Dipole moment $= q \times $ distance

$ \Rightarrow \,1\,D \approx {10^{ - 18}}\,esu\,cm$

$0.38 \times {10^{ - 18}}\,esu\,cm = q \times (1.61 \times {10^{ - 8}}\,cm)$

$q = 2.36 \times {10^{ - 11}}\,esu$

$q = \frac{{2.36 \times {{10}^{ - 11}}\,esu}}{{4.802 \times {{10}^{ - 10}}\,esu}}$

$q = 0.049$

$q \approx 0.05$ fractional charge