To convert 4/5 to a decimal using long division, follow the steps below:
1. Write the fraction 4/5 as the division problem: 4 ÷ 5.
2. Start by dividing 4 by the first digit of the divisor (5). The first digit is 5.
3. Divide 4 by 5:
- 5 goes into 4, 0 times. Write a 0 above the line.
- Multiply 0 by 5 and write the result (0) below the line.
- Subtract 0 from 4 and write the result (4) below the line.
4. Bring down the next digit (0) next to the quotient (0) below the line.
5. Divide 40 (the new dividend) by 5.
- 5 goes into 40, 8 times. Write an 8 above the line.
- Multiply 5 by 8 and write the result (40) below the line.
- Subtract 40 from 40, which gives 0. Write 0 below the line.
6. Since the remainder is 0, the long division is completed.
7. The quotient is the whole number part of the decimal representation of 4/5, which is 0.
8. Therefore, 4/5 as a decimal is 0.8.
So, 4/5 as a decimal is 0.8.