Certainly, let's divide 0.4 by 1.44 step by step:
Step 1: Write down the division problem.
\[0.4 ÷ 1.44\]
Step 2: Multiply both the numerator (0.4) and denominator (1.44) by 100 to move the decimal point two places to the right, which doesn't change the value of the division.
\[\frac{0.4 \times 100}{1.44 \times 100} = \frac{40}{144}\]
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of 40 and 144, which is 8.
\[\frac{40 ÷ 8}{144 ÷ 8} = \frac{5}{18}\]
So, 0.4 divided by 1.44 is equal to \( \frac{5}{18} \).