Subjects arithmetic

Long Division 14745A

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1. **State the problem:** We need to divide 2321 by 4 using long division. 2. **Recall the division formula:** Dividend = Divisor × Quotient + Remainder. 3. **Perform the division step-by-step:** - Divide 4 into 23: 4 goes into 23 five times (since 4 × 5 = 20). - Subtract 20 from 23: 23 - 20 = 3. - Bring down the next digit 2, making 32. - Divide 4 into 32: 4 goes into 32 eight times (4 × 8 = 32). - Subtract 32 from 32: 32 - 32 = 0. - Bring down the last digit 1. - Divide 4 into 1: 4 goes into 1 zero times. - Remainder is 1. 4. **Write the quotient and remainder:** Quotient is 580, remainder is 1. 5. **Express the result:** $$2321 = 4 \times 580 + 1$$ 6. **Final answer:** The quotient is **580** and the remainder is **1**.