Take your name and stab someone with it... using your business card. Your business card has your name on it. Also, you "stab" it at people who are willing to take it and read it. Not a real stab, but a metaphorical.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
He came back on the line and asked for our company address, so I told him that it’s on my business card.