Subjects arithmetic

Division 324000 52 321919

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1. **State the problem:** We need to divide 324000 by 52 to find the result of $\frac{324000}{52}$. 2. **Formula used:** Division is the operation of distributing a number into equal parts. Here, we use the formula $$\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}$$ where the dividend is 324000 and the divisor is 52. 3. **Step-by-step division:** - Write the division as $$324000 \div 52$$. - Simplify the fraction $$\frac{324000}{52}$$ by finding common factors. Both numerator and denominator are divisible by 4: $$\frac{324000}{52} = \frac{\cancel{4} \times 81000}{\cancel{4} \times 13} = \frac{81000}{13}$$ 4. **Perform the division:** - Divide 81000 by 13 using long division: - 13 goes into 81 six times (6 x 13 = 78), remainder 3. - Bring down 0 to make 30, 13 goes into 30 two times (2 x 13 = 26), remainder 4. - Bring down 0 to make 40, 13 goes into 40 three times (3 x 13 = 39), remainder 1. - Bring down 0 to make 10, 13 goes into 10 zero times, remainder 10. - Bring down 0 to make 100, 13 goes into 100 seven times (7 x 13 = 91), remainder 9. - Bring down 0 to make 90, 13 goes into 90 six times (6 x 13 = 78), remainder 12. - Bring down 0 to make 120, 13 goes into 120 nine times (9 x 13 = 117), remainder 3. - The quotient is approximately 6230.769230... 5. **Final answer:** $$324000 \div 52 \approx 6230.7692$$ This means if you divide 324000 into 52 equal parts, each part is about 6230.77.