The best replacement for remainder is remaining.

The best alternatives to remainder are rated as following:
★★★★★  remaining
★★★★★  reversion
★★★★  executory interest
★★★  reminder
★  modulus
★  mod

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Speaking about remainder, one probably shouldn't forget about division.

Other search terms related to remainder and their ratings are:
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★★★ synthetic division
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★ calculator
★ long division
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