Subjects arithmetic

Division Large Numbers 4083D6

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1. **State the problem:** We need to divide 50,779 by 590. 2. **Formula used:** Division is the process of finding how many times the divisor fits into the dividend. Here, the formula is: $$\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}$$ 3. **Apply the formula:** $$\frac{50779}{590}$$ 4. **Perform the division:** Start by simplifying the fraction if possible. Both numbers are divisible by 1 only, so we proceed with long division. 5. **Long division steps:** - 590 goes into 5077 about 8 times because $590 \times 8 = 4720$. - Subtract: $5077 - 4720 = 357$. - Bring down the next digit 9 to make 3579. - 590 goes into 3579 about 6 times because $590 \times 6 = 3540$. - Subtract: $3579 - 3540 = 39$. 6. **Result:** The quotient is 86 with a remainder of 39. 7. **Express as decimal:** $$86 + \frac{39}{590}$$ 8. **Simplify the fraction:** $$\frac{39}{590}$$ cannot be simplified further. 9. **Convert fraction to decimal:** $$\frac{39}{590} \approx 0.0661$$ 10. **Final answer:** $$86.0661$$ So, $50779 \div 590 \approx 86.0661$.