Section 313. Expenses of stenographers appointed by justices of supreme court for each judicial district except first and second

Each  of  the
  stenographers  specified  in  section  three  hundred and twelve is also
  entitled  to  payment  of  his  actual  and  necessary  expenses,  while
  attending  court,  including stationery, and ten cents for each mile for
  his actual travel, between the  place  of  holding  each  term  and  his
  residence,  going  and  returning, or from term to term, as the case may
  be. The amount thereof must be paid upon the certificate  of  the  judge
  holding  or  presiding  at the term by the treasurer of the county where
  the term is held, from the court fund, or the fund from which jurors are
  paid. But mileage shall  not  be  computed  beyond  the  bounds  of  the
  judicial district, except where the usual line of travel, from one point
  to  another within that district, passes partly through another judicial
  district.