1. The problem is to divide 7.29 by 0.09 using the long division method. 2. First, convert the divisor 0.09 into a whole number by multiplying both the divisor and dividend by 100 (because 0.09 has two decimal places). 3. This gives us: $$\frac{7.29 \times 100}{0.09 \times 100} = \frac{729}{9}$$ 4. Now, perform the long division of 729 by 9. 5. Divide 7 by 9: 9 goes into 7 zero times, so consider the first two digits 72. 6. Divide 72 by 9: 9 goes into 72 exactly 8 times because $9 \times 8 = 72$. 7. Subtract 72 from 72, remainder is 0. 8. Bring down the next digit 9. 9. Divide 9 by 9: 9 goes into 9 exactly 1 time because $9 \times 1 = 9$. 10. Subtract 9 from 9, remainder is 0. 11. Since there are no more digits to bring down and the remainder is 0, the division is complete. 12. The quotient is 81. Therefore, $$7.29 \div 0.09 = 81$$