1. **State the problem:** We need to divide 88872 by 82. 2. **Write the division expression:** $$88872 \div 82$$ 3. **Perform the division:** Divide 88872 by 82 step-by-step. 4. **Calculate the quotient:** $$\frac{88872}{82}$$ 5. **Simplify the fraction if possible:** Since 82 and 88872 share a common factor, we can simplify. Calculate the greatest common divisor (GCD) of 88872 and 82. 82 factors: 2 \times 41 Check if 88872 is divisible by 2: 88872 is even, so divisible by 2. Divide numerator and denominator by 2: $$\frac{\cancel{2}44436}{\cancel{2}41} = \frac{44436}{41}$$ Now divide 44436 by 41: $$44436 \div 41 = 1084$$ 6. **Final answer:** $$88872 \div 82 = 1084$$