Subjects arithmetic

Division 11876 39 2C52Ad

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1. **State the problem:** We need to divide 11876 by 39. 2. **Recall the division formula:** Division is the process of determining how many times the divisor fits into the dividend. Here, the dividend is 11876 and the divisor is 39. 3. **Perform the division:** $$11876 \div 39$$ We can do long division or simplify step by step. 4. **Calculate:** First, estimate how many times 39 fits into 11876. Divide 11876 by 39: $$\frac{11876}{39}$$ 5. **Simplify the fraction:** Check if numerator and denominator share common factors. Since 39 = 3 \times 13, check if 11876 is divisible by 13 or 3. 11876 \div 13 = 913.538... (not exact), 11876 \div 3 = 3958.666... (not exact), so no simple factorization. 6. **Perform exact division:** Using a calculator or long division: $$11876 \div 39 = 304$$ because 39 \times 304 = 11856, remainder 20. 7. **Check remainder:** 11876 - (39 \times 304) = 20 So the exact division is: $$11876 \div 39 = 304 + \frac{20}{39}$$ 8. **Final answer:** The quotient is 304 with a remainder of 20, or as a mixed number: $$304 \frac{20}{39}$$ Or as a decimal approximation: $$304.51$$ (rounded to two decimal places).