Decimals — division, terminating, non-terminating, recurring

We need to divide $14.4÷6$. Set up long division with the decimal point in the answer directly above the decimal point in $14.4$.

$14÷6=2$ remainder $2$. Write $2$ above the $4$ in $14$.

Bring down the $4$ after the decimal point. We now have $24$. $24÷6=4$ remainder $0$.

The remainder is $0$, so the division terminates. $14.4÷6=2.4\text{ mL}$

We need $14.4÷6$. The answer should be smaller than $14.4$ since we are dividing by a number greater than 1.

$24$ mL is larger than the total $14.4$ mL. Dividing always gives a smaller result when dividing by a number greater than 1, so this is impossible.

Check: $0.24\times 6=1.44$, not $14.4$. The decimal point is in the wrong place, so this is incorrect.

Check: $2.04\times 6=12.24\ne 14.4$. This is also incorrect.

Check: $2.4\times 6=14.4$ ✓. The answer is $2.4$ mL.