About ⅓ or a third of the way, you can stop at Calabasas, CA. This is about 17 minutes northeast of Malibu.
About ⅔ or two thirds of the way, you can stop at North Sherman Way, CA. This is about half an hour northeast of Malibu, or about half an hour southeast of Newhall.
About ¾ or three fourths of the way, you can stop at San Fernando, CA. This is almost an hour northeast of Malibu, or about 15 minutes southeast of Newhall.
If you drive straight through without stopping at all, the total distance is 48 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 59 minutes.
