The defecation in the natural for a human being squatting posture will resolve this problem.
Try! It is not esthetic, but don't use the toilet bowl as a squatting device; it is dangerous (can break down) and may be not effective as doesn't permit natural squatting (see the instructions).
Hemorrhoids are only the tip of the iceberg:
Instructions
            The squatting posture may be only partially effective for those with a stool frequency of less than one per day. 3-5% of total population has a stool frequency one in two or more days (1). These people may have an inherited immobile perineum and adynamic recto-anal angle (2), thus adopting of the squatting posture may not sufficiently straighten their recto anal angle.
            However, the switching of the great majority (95-97%) of population of the Western world to the squatting defecation posture will prevent several medical problems including hemorrhoids.
            Individuals that already suffer from hemorrhoids may get rid of their trouble as described in the article at home page. The initial stage of hemorrhoids is bleeding. The switching to defecation in the squatting position (use any flat container, don't use the toilet bowl for squatting) will diminish the bleeding immediately and bleeding will completely stops in one to two weeks. For those with prolapsing hemorrhoids at the initial stages it may take two to four weeks until the hemorrhoids will stop to prolapse. To this patient it can be advised to rise immediately after the feces pushed out from the rectum. It have to be understood that not as in sitting posture, in squatting posture pushing down cause emptying the rectum immediately and completely and there are no need to stay more in the squatting posture. For patient with the prolapsing hemorrhoids it is important to short the defecation act, hopefully to stop the prolapsing. However to those with advanced prolapsing hemorrhoids, stage four (non reducible hemorrhoids), it is pity, but the switching to the squatting will be already not helpful.
            A practical step was done and designed a new squatting device, tailored for the Western world sewage system and you are welcoming to invest into the production and marketing of this device. Details on the page: video of a new squatting device.
But until this squatting device will be available, use for defecation in the squatting posture any flat container; it is not esthetic, but don't use the toilet bowl as a squatting device (it doesn't permit natural squatting, thus may be not helpful and dangerous, as it can break).
  1. Connell et al. Br. Med.J. 1965; 2: 1095-1099.
  2. Pezim M. Dis. Colon Rectum 1993; 36: 484-491