"Normal" is subjective. Normal for you is not normal for me. For example, I do laundry on Sunday. I have always done laundry on Sunday, because that's when my mom did the laundry. So that is normal. My friend at work does laundry three times a week. I think she's crazy! Laundry all week? Really? But that's how she does it and always has. So, for her that's normal.
As for your question, I'm thinking you mean "healthy" relationship? That takes work and two people willing to work together.