I'm in a similar position and it was tough this summer with my 7 yr old home from school. We tried to make sure there were a ton of activities and day trips for her to keep her busy and having fun - but she was home alot too!
When I'm not out at meetings, I'm working mostly from home, and it's difficult for children to fully grasp that you're "working" when you're walking through the house on the phone, pacing and talking in the back yard, or in the kitchen grabbing a drink and smiling at mommy. There's a contstant barrage of "Daddy, Daddy, Daddy!" PLUS it's even more difficult when you have a one year old toddling around - and if you give HIM attention YOUR DAMN WELL SURE YOU HAVE TO GIVE HER ATTENTION TOO!
Almost every day I've tried to take time to hang out for a few minutes here and there just to LISTEN to whatever she wants to tell me OR jump in the pool with her OR just play in the playroom or chill upstairs in her room.
ALL THE KID WANTS ... IS ATTENTION!
The one thing I figured out (with the help of my wife of course) was that when it's daddy and daughter time you need to completely make it about her. I don't mean spoil her with material things and "buy" your attention. I mean whatever you guys are doing together just try to have fun.
It's NOT easy ... life and business DOES get in the way sometimes BUT you just need to find time.
Draw, paint, take her to a park for a picnic, take her to the store on errands to pick up milk, do a "Costco run", go to a car wash, go to a mall, grab a snack together, go for a DRIVE and let her tell YOU when to make turns and "get lost", play eye spy, sing a damn song, dance with her to loud music, take her to an aquarium, anything you regularly do by yourself that it would be OK for her to accompany you - BRING HER ... and finally ...ASK HER WHAT SHE WANTS TO DO AND MAKE A DATE!
Just take time EVERY WEEK and make sure to do something ... just you and her!
Every sunday my daughter and I go out for lunch (which is breakfast for me of course) and go to the car wash and just drive around listening to HER music and talk and laugh.
It's not all roses and sunshine - BUT - it's love and attention and a sincere attempt on your part to be INVOLVED with your daughter ... and she'll see and appreciate that.
Good luck!