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'A'isha said, "Fatima walked in the same manner that the Prophet, may Allah bless him and grant him peace, walked. He used to say to her, 'Welcome, my daughter!' Then he would have her sit down on his right or his left."
Source: sunnah.com
Other translations
Arabic
حَدَّثَنَا أَبُو نُعَيْمٍ، قَالَ: حَدَّثَنَا زَكَرِيَّا، عَنْ فِرَاسٍ، عَنْ عَامِرٍ، عَنْ مَسْرُوقٍ، عَنْ عَائِشَةَ رَضِيَ اللَّهُ عَنْهَا قَالَتْ: أَقْبَلَتْ فَاطِمَةُ تَمْشِي كَأَنَّ مِشْيَتَهَا مَشْيُ النَّبِيِّ صلى الله عليه وسلم، فَقَالَ: مَرْحَبًا بِابْنَتِي، ثُمَّ أَجْلَسَهَا عَنْ يَمِينِهِ، أَوْ عَنْ شِمَالِهِ.
sunnah.com