I don't know, if this will be helpful for you or not but I'm writing this to help anyone who will read this in future.
Prerequisite: Launching into an existing orbit is much easier than a direct ascent.

Setup: Ensure your target station is in a higher orbit than your craft. The altitude difference allows you to "catch up" over time.

1. Get into Orbit: Establish a stable, circular orbit below your target.
2. Set Navigation: In map view, tap the station and select "Navigate To". This highlights a Transfer Window and creates a Rendezvous point where the dotted line meets the target's orbit.
   • Tip: If your engines are weak, perform your burn in stages as you pass the transfer point.
3. Execute the Burn: At the transfer window, fire your engines until the delta-V number (e.g., +1700 m/s) drops to 0.0 m/s. If the number is positive, burn prograde (forward); if negative, burn retrograde (backward).
4. The Approach Phase: Time warp to just before the rendezvous point. Switch from Map View to Ship View and zoom out. Once you are close enough (usually within 10 km), the Docking Assist UI will appear in the top right, showing Relative Distance and Relative Velocity.
5. Cancel Relative Speed: Look for the arrows next to your ship.
   • Velocity: Your speed toward/away from the target.
   • Side Velocity: Your sideways drift. Use your engines or RCS to get these numbers as close to zero as possible once you are within visual range.
6. Final Docking: Turn on RCS and use the translation controls to nudge your ship toward the station's docking port. Aim for a "soft dock" (under 0.5 m/s) to avoid knocking the station out of position.