Subjects arithmetic

Long Division 436A72

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1. **State the problem:** Divide 2860 by 3 using long division. 2. **Recall the division formula:** Dividend = Divisor \times Quotient + Remainder. 3. **Perform long division step-by-step:** - Divide 2 (the first digit) by 3: 3 does not go into 2, so write 0 and bring down the next digit. - Divide 28 by 3: 3 goes into 28 nine times because $3 \times 9 = 27$. - Subtract 27 from 28: $28 - 27 = 1$. - Bring down the next digit 6, making 16. - Divide 16 by 3: 3 goes into 16 five times because $3 \times 5 = 15$. - Subtract 15 from 16: $16 - 15 = 1$. - Bring down the next digit 0, making 10. - Divide 10 by 3: 3 goes into 10 three times because $3 \times 3 = 9$. - Subtract 9 from 10: $10 - 9 = 1$. 4. **Write the quotient and remainder:** Quotient is 953 and remainder is 1. 5. **Check the result:** $$3 \times 953 + 1 = 2859 + 1 = 2860$$ which matches the dividend. **Final answer:** Quotient = 953, Remainder = 1.