Answer :

To solve the division problem [tex]\( 14.4 \div 0.24 \)[/tex], we need to determine how many times 0.24 fits into 14.4. Here’s a step-by-step solution:

1. Setup the Division:
We have:
[tex]\[ \frac{14.4}{0.24} \][/tex]

2. Adjusting for Easier Calculation:
To make the division straightforward, we can eliminate the decimals by multiplying both the dividend (14.4) and the divisor (0.24) by 100. This shifts the decimal point two places to the right:
[tex]\[ \frac{14.4 \times 100}{0.24 \times 100} = \frac{1440}{24} \][/tex]

3. Perform the Division:
Now we need to divide 1440 by 24. Dividing these:

[tex]\[ 1440 \div 24 = 60 \][/tex]

4. Final Result:
Therefore, the result of dividing 14.4 by 0.24 is:
[tex]\[ 60.00000000000001 \][/tex]

So, when you divide [tex]\(14.4\)[/tex] by [tex]\(0.24\)[/tex], you get [tex]\(60.00000000000001\)[/tex].