Subjects arithmetic

Remainder Division

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Remainder Division


1. **State the problem:** We want to find the remainder when 2520 is divided by 16. 2. **Understand division:** When dividing two integers, the remainder is what is left after subtracting the largest multiple of the divisor from the dividend. 3. **Calculate the quotient:** Divide 2520 by 16. $$2520 \div 16 = 157.5$$ 4. **Find the integer part of the quotient:** The integer quotient is 157. 5. **Multiply the divisor by the integer quotient:** $$16 \times 157 = 2512$$ 6. **Subtract this product from the original number to find the remainder:** $$2520 - 2512 = 8$$ 7. **Conclusion:** The remainder when 2520 is divided by 16 is **8**.