I am currently transitioning from the comfort of hiding behind buttons and converting to using programming for GIS and geospatial & geostatistical analysis. The code below is an implementation of converting decimal degrees to degrees-minutes-seconds format. The code is heavily commented and hopefully easy to understand.

import math

def dd2dms(longitude, latitude):

    # math.modf() splits whole number and decimal into tuple
    # eg 53.3478 becomes (0.3478, 53)
    split_degx = math.modf(longitude)
    
    # the whole number [index 1] is the degrees
    degrees_x = int(split_degx[1])

    # multiply the decimal part by 60: 0.3478 * 60 = 20.868
    # split the whole number part of the total as the minutes: 20
    # abs() absoulte value - no negative
    minutes_x = abs(int(math.modf(split_degx[0] * 60)[1]))

    # multiply the decimal part of the split above by 60 to get the seconds
    # 0.868 x 60 = 52.08, round excess decimal places to 2 places
    # abs() absoulte value - no negative
    seconds_x = abs(round(math.modf(split_degx[0] * 60)[0] * 60,2))

    # repeat for latitude
    split_degy = math.modf(latitude)
    degrees_y = int(split_degy[1])
    minutes_y = abs(int(math.modf(split_degy[0] * 60)[1]))
    seconds_y = abs(round(math.modf(split_degy[0] * 60)[0] * 60,2))

    # account for E/W & N/S
    if degrees_x < 0:
        EorW = "W"
    else:
        EorW = "E"

    if degrees_y < 0:
        NorS = "S"
    else:
        NorS = "N"

    # abs() remove negative from degrees, was only needed for if-else above
    print "\t" + str(abs(degrees_x)) + u"\u00b0 " + str(minutes_x) + "' " + str(seconds_x) + "\" " + EorW
    print "\t" + str(abs(degrees_y)) + u"\u00b0 " + str(minutes_y) + "' " + str(seconds_y) + "\" " + NorS

# some coords of cities
coords = [["Dublin", -6.2597, 53.3478],["Paris", 2.3508, 48.8567],["Sydney", 151.2094, -33.8650]]

# test dd2dms() 
for city,x,y in coords:
    print city + ":"
    dd2dms(x, y)

The output from running the above script is…

Dublin:
    6° 15' 34.92" W
    53° 20' 52.08" N
Paris:
    2° 21' 2.88" E
    48° 51' 24.12" N
Sydney:
    151° 12' 33.84" E
    33° 51' 54.0" S

I am happy that the output of this script is the same as online converters.