divide vs sign on

divide

verb
  • To mark divisions on; to graduate. 

  • To vote, as in the British parliament and other legislatures, by the members separating themselves into two parties (as on opposite sides of the hall or in opposite lobbies), that is, the ayes dividing from the noes. 

  • To share (something) by dividing it. 

  • To separate into two or more parts. 

  • To calculate the number (the quotient) by which you must multiply one given number (the divisor) to produce a second given number (the dividend). 

  • To play or sing in a florid style, or with variations. 

  • To disunite in opinion or interest; to make discordant or hostile; to set at variance. 

  • To be a divisor of. 

  • To split or separate (something) into two or more parts. 

  • Of a cell, to reproduce by dividing. 

noun
  • An act of dividing. 

  • A distancing between two people or things. 

  • A large chasm, gorge, or ravine between two areas of land. 

  • The topographical boundary dividing two adjacent catchment basins, such as a ridge or a crest. 

  • A thing that divides. 

sign on

verb
  • To join something, after signing. 

  • To begin broadcasting a radio or television signal, usually at the beginning of a broadcasting day and after being off the air for several hours. 

  • To commit oneself, as to a project, a goal, an organization, a cause. 

  • To apply to receive unemployment benefits. 

  • To log on; to start using a computer, radio, etc., or to start talking. 

noun
  • The time of day when a radio or television station begins broadcasting, usually after being off the air for several hours. 

How often have the words divide and sign on occurred in a corpus of books? (source: Google Ngram Viewer )