Deep space just means you're not in orbit. Could be somewhere in the solar system, between solar systems or between galaxies.

If you're still in the solar system, then the sun is shining right at you. If you're in a space suit, doing some maintenance on your ship, you most probably oriented your ship so that you work in the sun. So you can see what you're doing. Your ship will be lit up as bright as day. Assuming you're at a distance equivalent to the Earth.

If you're much further, it will still feel like working at night but with a bright projector lighting up your work area.

If you're much closer, it might be too bright, you might actually orient the ship so you work in the shade. Then you won't be able to see squat without a flashlight. It'll be just as dark as if you were ligthyears away from a start system.

If you're between solar systems, it's as dark as a moonless night. You're still bathed in the light from the stars. Which is usually not enough light to do work outdoors. And whatever solar panels you brought are now just weighing you down. Jetison. If you're quite far from Earth, more towards the center of the galaxy, there'll be way more stars in the sky. But it'll still be too dark to read.

If you're out of the galaxy, then it's pitch black. I mean properly out, right. Of course if you have just left a galaxy, you'll still be able to see it if you turn around. I mean properly halfway between two averagely spaced galactic clusters. Proper intergalactic space.

Without a flashlight, you wont be able to see your hand waving in front of your face. There are galaxies full of stars all around you, but they are all billions of lightyears away, and your eyes aren't good enough to pick them up. I mean, Andromeda is a huge galaxy that is incredibly close to the Milky Way, and it appears at a diffuse cloud. Back in the days we didn't know about galaxies, we used to call it the andromeda "nebula" which is just latin or greek for "cloud". Pitch-ass black. nothing to see.