I too have not used anything in 10 yrs of marriage. There is always a chance of getting pregnant, but the chance decreases the older you get. I was married at 32, and we didn't want kids at the time. My husband (who is a bit younger than I am) came to me when I was 39 and said he wanted to try and have a child. Well needless to say, I am turning 42 next week and no babies. Your chances get smaller after age 35. You didn't indicate your age, so I don't know if your over or under 35.
The best advice I can give you is this: If your periods are regular and you know your body well, do not have sex when you are ovulating. For a woman that has a regular 28 day cycle, ovulation will normally occur 14 days from the first day of your period. Say your period starts July 1st. Ovulation would probably occur between July 14th to July 18th. These would be your danger days for pregnancy. If you are not regular, it will be difficult to predict your ovulation day.
You might also want to check with your doctor to see if there is a medical reason that you cannot become pregnant such as blocked tubes, endometriosis, etc,,,or maybe your husband has a low sperm count.
My husband and I were just very careful in the first years of our marriage, and then when we wanted to try, I was too old!