YES

TRS:

  div(X,e()) -> i(X)
  i(div(X,Y)) -> div(Y,X)
  div(div(X,Y),Z) -> div(Y,div(i(X),Z))

linear polynomial interpretations on N:

  div_A(x1,x2) = x1 + x2 + 1
  div#_A(x1,x2) = x1 + x2 + 1
  e_A = 0
  e#_A = 0
  i_A(x1) = x1
  i#_A(x1) = x1

precedence:

  div = e = i