There are several ways of doing this, but the first thing I would do is to carry out an estimate of the answer. This will help to make sure the decimal point in the quotient is in the right place. 14.72 is close to 15 and 4.6 is close to 5, so we divide 15 by 5, which gives us 3. That means our actual quotient is going to be close to 3.
We can use long division and ignore the decimal points.
The first digit of the quotient is likely to be 3 because of our estimate. So 3×46=138 which is a little lower than 147 so we can start the long division with 3 as the first digit of the quotient. 147-138=9 so we bring down the last digit of the dividend to make 92, which is exactly 2×46.
32
46 ) 1472
138 (subtract)
92
92 (subtract)
0
So we have 32 and since we know the answer is about 3 the decimal point must come after 3 so the quotient is 3.2.