**Q: **Is remainder the amount "left over" after performing some computation? ¶

**A: **Yes.

**Q: **Are remainders positive and therefore equal? ¶

**A: **Yes, or they have opposite signs.

**Q: **Is remainder the integer "left over" after dividing one integer by another to produce an integer quotient? ¶

**A: **Yes, In algebra, the remainder is the polynomial "left over" after dividing one polynomial by another.

**Q: **Is remainder not guaranteed? ¶

**A: **Yes.

**Q: **Is remainder still necessary? ¶

**A: **Yes.

**Q: **Is remainder obtained from the least positive remainder by subtracting 5, which is d? ¶

**A: **Yes, This holds in general.

**Q: **Is remainder what is left after subtracting one number from another? ¶

**A: **Yes, although this is more precisely called the difference.