Kaulava is third in the rotation of seven movable karanas, and within the span from position 2 to position 57 it takes 4, 11, 18, 25, 32, 39, 46 and 53.
Reading those into the almanac by the rule that position p occupies tithi ceiling of p over two, in the first half when p is odd and the second when p is even: Kaulava holds the second half of tithi 2, the first of 6, the second of 9, the first of 13, the second of 16, the first of 20, the second of 23 and the first of 27.
Four of those tithis lie in the bright fortnight and four in the dark, the standard split for a movable karana.
There is a symmetry in the set worth noticing. The eight positions are spaced exactly seven apart, as they must be for any karana in a rotation of seven, and because 56 is a multiple of 7 the whole rotation closes cleanly at position 57 with no partial cycle left over. That is the arithmetic reason the scheme uses four fixed karanas rather than three or five: sixty minus four is fifty six, and fifty six is eight complete turns of seven. Any other number of fixed karanas would leave the rotation broken across the new moon.
A karana averages 11 hours and 49 minutes and ranges from about ten to about thirteen and a half, depending on how fast the Moon is separating from the Sun at the time.