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1. Write the problem: 4.5 ÷ 160
2. Write the divisor (160) on the left side of the division bar and the dividend (4.5) on the right side.
3. Divide the first digit of the dividend (4) by the divisor (160). Since 160 is larger than 4, we need to find the largest multiple of 160 that is less than or equal to 4. In this case, it is 0.
4. Write 0 above the line as the first digit of the quotient.
5. Multiply the quotient (0) by the divisor (160) and write the result (0) below the dividend.
6. Subtract the result (0) from the first digit of the dividend (4). The result is 4.
7. Bring down the next digit of the dividend (5) and place it below the remaining 4.
8. Divide the new dividend (45) by the divisor (160). Since 160 is larger than 45, we need to find the largest multiple of 160 that is less than or equal to 45. In this case, it is 80.
9. Write 0.5 above the line as the second digit of the quotient.
10. Multiply the quotient (0.5) by the divisor (160) and write the result (80) below the dividend.
11. Subtract the result (80) from the new dividend (45). The result is 5.
12. Since there are no more digits in the dividend, we have completed the division.
13. The final result is 0.005, which can be expressed as 1/200.