If it is a single tooth:
Just leave the space...
A temporary bridge can sometimes be made but this cannot be added to and so can become unsightly and need replacing when the gum shrinks. Temporaries, no matter how well they are made are not easy to clean and tend not to be the best for gum health; collecting a lot of plaque around them. Dentures can be removed which makes cleaning much easier and more efficient.
If it is an immediate full denture
(i) Extract the teeth, wait for the gums to heal and then make a set of dentures- seriously not a good idea! You would be hard pressed to find a dentist who would agree to doing this.
(ii) Provide a partial denture for the back teeth- to help the patient start getting used to wearing a plate, if they haven't worn one before.. Then do an immediate, just for the front teeth, at an appropriate time.
(iii) Make a creeping denture- where by teeth are added one at a time when they cause pain and need extracting- this can be useful for patients who may have difficulty adapting, though this can be inconvienient and expensive as additions and relines are needed.
If you already have a partial denture, you can have an immediate tooth addition- this is like a tooth addition, but the ‘immediate’ bit means that you are never without a space. This really only needs to be done for front teeth which affect your smile, otherwise it makes more sense to take the tooth out, let it heal a bit, then add a tooth to the denture- removing the guesswork.
Your denture will need to be sent away to the lab for an immediate addition, so you will be without it for a period of time. It is important to bear this in mind when organising work and social commitments. That said, most dentists will complete the treatment in a single day by having you come in early in the morning and then again later that same afternoon. On the second appointment, it is literally out with the tooth, in with the denture.