Question

8.464 / 0.04
show your work

Answer 1

To divide 8.464 by 0.04, you can follow these steps:

1. **Convert the divisor (0.04) to a whole number**: Since 0.04 has two decimal places, you can multiply both the numerator and the denominator by 100 to eliminate the decimal:

\[
8.464 \div 0.04 = \frac{8.464 \times 100}{0.04 \times 100} = \frac{846.4}{4}
\]

2. **Perform the division**: Now, divide 846.4 by 4.

\[
846.4 \div 4
\]

You can do this step-by-step:

- \( 8 \div 4 = 2 \) (remainder 0)
- Bring down the next digit (4): \( 4 \div 4 = 1 \) (remainder 0)
- Bring down the next digit (6): \( 6 \div 4 = 1 \) (remainder 2)
- Bring down 0 (from 0 in 846.4): Now you have 20.
- \( 20 \div 4 = 5 \) (remainder 0)

So, \( 846.4 \div 4 = 211.6 \).

Thus,

\[
8.464 \div 0.04 = 211.6
\]

Final answer: **211.6**.