19/8 as a decimal

Steps to Solve

1. Set up the division We start by setting up the long division of 19 by 8. This involves seeing how many times 8 goes into 19.

2. Perform the division 8 goes into 19 two times (since $8 \times 2 = 16$).

3. Calculate the remainder After subtracting $16$ from $19$, we get a remainder of $3$ (because $19 - 16 = 3$).

4. Add a decimal Now we need to bring down a zero to continue the division since $3$ is less than $8$. This means we are now dividing $30$ by $8$.

5. Continue the division 8 goes into 30 three times (because $8 \times 3 = 24$).

6. Calculate the new remainder Now, subtract $24$ from $30$. This gives us a new remainder of $6$ (since $30 - 24 = 6$).

7. Repeat the process Bring down another zero, making it $60$. Now divide $60$ by $8$.

8. Divide again 8 goes into 60 seven times (since $8 \times 7 = 56$).

9. Final remainder Subtract $56$ from $60$ to find the remainder of $4$ (because $60 - 56 = 4$).

10. Continue until sufficient Bring down another zero to make it $40$. Divide $40$ by $8$.

11. Final division 8 goes into 40 five times (since $8 \times 5 = 40$). This gives us a remainder of $0$.

12. Combine results The quotient from our long division gives us the decimal representation. So, combining everything we have: $2.375$ for the fraction $\frac{19}{8}$.