Russian-English translations for оста́ток

• remainder
  My son ate part of his cake and I ate the remainder.
  You can have the remainder of my clothes.
  17 leaves a remainder of 2 when divided by 3.
• remnant
  Usually not enough to make an entire project by itself, remnants of several fabrics can be used to make quilts.
• leftover
  Do you want some of the leftover supplies from the event?
  I have some leftover spaghetti in the fridge, so I dont plan to cook tonight.
  Its a leftover from yesterday, but its still perfectly good.
• residual
• residue
• rest
  I need to get a good rest tonight; I was up late last night
  The sun sets, and the workers go to their rest
  We took a rest at the top of the hill to get our breath back