Jungle Bros. Treescapes can remove stumps by hand or by using a stump-grinding machine, depending on accessibility to the site.
Tree stumps can be left in the ground after felling but depending on the species being removed, stump removal can prevent suckering (where new shoots arise from the trunk and roots), fungal root rot or white ant.
Jungle Bros. Treescapes can advise as to what will best suit your situation.