Dr. Ceystuf N. Odwais, noted linguistics expert, has proposed a set of rules for breaking any English word into syllables.  These rules assume that the word is examined left to right, letter by letter.  The rules are

1. The letters  a  e  i  o  u  and  y are regarded as vowels, with one exception -  y  is regarded as a consonant is when it appears as the first letter of a word.
2. For a syllable that begins with a vowel,  it will consist of consecutive letters up to and including the first consonant encountered.  Thus, in a word like  "energy" en  and  er  are syllables or in a word like  "odious"  od  and  ious  are syllables.
3. For a syllable that begins with a consonant, it includes consecutive consonants, followed by consecutive vowels.  If the last vowel is followed by two or more consecutive consonants, the first of these consonants is part of the syllable.  If the consonant following the last vowel is followed by a vowel, the syllable ends with the last vowel.  Thus, in a word like "extremely", the syllable starting at the  t  includes only  tre  because the consonant (m) is followed by a vowel.  In the word "individual", the syllable starting at the first  d  includes only  di  because the  v  is followed by a vowel.  But, in a word like "membership", the syllable starting with the first  m  includes mem  because the m is followed by  b  and the syllable starting at the b includes  ber  because the r is followed by s.  And in a word like "crystal"  the first syllable is  crys because y is a vowel and s is followed by t.  If there are no letters after the last vowel, as in the last syllable of "energy"  gy  then the syllable ends at the end of the word.
4. If after finding one or more syllables in a word, the only letters that remain are vowels; then these are taken as the last syllable.  Thus, for the word "auxiliary",  the syllables are  aux-il-iar-y..  If after finding one or more syllables in a word, the only letters that remain are consonants, these letters should be made part of the previously identified last syllable.  For the word "stealth", the syllable found would be  steal  and the left over consonants should be added to it make  stealth a single syllable word.

Enter: individual membership crystal select auxiliary stealth onomatopoeia specify.
in-di-vi-dual
mem-ber-ship
crys-tal
se-lect
aux-il-iar-y
stealth
on-om-at-op-oeia
spe-ci-fy

Although Dr. Odwais' rules work some of the time, they are far from perfect.  Words with silent e, th or ph combinations and others are often incorrectly broken into syllables.  Consider this example:

Enter: everything make father rhythm philosophy.
ev-er-yt-hing
ma-ke
fat-her
rhythm
phi-lo-sop-hy