Use long division to convert 3 4/5

To convert the mixed number \( 3 \frac{4}{5} \) to a decimal using long division, follow these steps:

1. **Convert the mixed number to an improper fraction**:
\[
3 \frac{4}{5} = \frac{(3 \times 5) + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5}
\]

2. **Set up long division to divide 19 by 5**:

- 5 goes into 19 three times (because \( 5 \times 3 = 15 \)).

- Write down 3, then subtract 15 from 19, which gives you a remainder of:
\[
19 - 15 = 4
\]

- Now bring down a 0 (making it 40).

- Now, see how many times 5 goes into 40. It goes 8 times (because \( 5 \times 8 = 40 \)).

- Write down 8, then subtract 40 from 40, which gives you a remainder of:
\[
40 - 40 = 0
\]

3. **Putting it together**:

You have obtained the result of the division:
\[
19 \div 5 = 3.8
\]

Therefore, the decimal equivalent of \( 3 \frac{4}{5} \) is \( 3.8 \).