I've seen many posts where folks are having one heck of a time putting the insulator back in a 510 connector after taking it out to solder. I used to fight them also until I started doing it the right way 
Even if you are careful you will probably degrade the insulator to solder to the connector. It may look OK, but it's life has been shortened. So take it out.
Take a CLOSE LOOK at the insulator and you will see a bevel on the lower edge. This is to press the insulator in. Lubicate the insulator (spit or a little PG) place it in the connector from the outside with bevel facing down. Take a 3/16 inch drill bit (not the cutting end) and slowly press the insulator into place. The white insulators from most cartomizers seem to be a little tougher than the clear ones (free spare parts).
Then press the center pin in. Ta Da !!
Even if you are careful you will probably degrade the insulator to solder to the connector. It may look OK, but it's life has been shortened. So take it out.
Take a CLOSE LOOK at the insulator and you will see a bevel on the lower edge. This is to press the insulator in. Lubicate the insulator (spit or a little PG) place it in the connector from the outside with bevel facing down. Take a 3/16 inch drill bit (not the cutting end) and slowly press the insulator into place. The white insulators from most cartomizers seem to be a little tougher than the clear ones (free spare parts).
Then press the center pin in. Ta Da !!