Chapter 4 - Decimals - Review Exercises - Page 323: 46

$\approx 14.467$

We divide: $~~~~14.4666$ $3\overline{)43.4000}$ $~~~~\underline{3}$ $~~~~13$ $~~~~\underline{12}$ $~~~~~~~14$ $~~~~~~~\underline{12}$ $~~~~~~~~~~20$ $~~~~~~~~~~\underline{18}$ $~~~~~~~~~~~~~20$ $~~~~~~~~~~~~~\underline{18}$ $~~~~~~~~~~~~~~~~20$ $~~~~~~~~~~~~~~~~\underline{18}$ $~~~~~~~~~~~~~~~~~~~2$ We can stop the division with the remainder of 2 because we only need to round to the nearest thousandth: $14.466\bar6\approx 14.467$