'Urwa has narrated it on the authority of 'A'isha that when Messenger of Allah ﷺ took a bath because of sexual intercourse, he first washed his hands before dipping one of them into the basin, and then performed ablu- tion as is done for prayer.  

أَنَّ رَسُولَ اللَّهِ ﷺ كَانَ إِذَا اغْتَسَلَ مِنَ الْجَنَابَةِ بَدَأَ فَغَسَلَ يَدَيْهِ قَبْلَ أَنْ يُدْخِلَ يَدَهُ فِي الإِنَاءِ ثُمَّ تَوَضَّأَ مِثْلَ وُضُوئِهِ لِلصَّلاَةِ  

"When the Messenger of Allah ﷺ performed Ghusl from Janabah, he would wash his hands, then perform Wudu' as for prayer, then he would perform Ghusl, then run his fingers through his hair to be sure that the water pour water over his head three times, then wash the rest of his body."  

أَنَّهَا قَالَتْ كَانَ رَسُولُ اللَّهِ ﷺ إِذَا اغْتَسَلَ مِنَ الْجَنَابَةِ غَسَلَ يَدَيْهِ ثُمَّ تَوَضَّأَ وُضُوءَهُ لِلصَّلاَةِ ثُمَّ اغْتَسَلَ ثُمَّ يُخَلِّلُ بِيَدِهِ شَعْرَهُ حَتَّى إِذَا ظَنَّ أَنَّهُ قَدْ أَرْوَى بَشَرَتَهُ أَفَاضَ عَلَيْهِ الْمَاءَ ثَلاَثَ مَرَّاتٍ ثُمَّ غَسَلَ سَائِرَ جَسَدِهِ  

[Machine] The prophet ﷺ used to perform ablution when he wanted to perform a ritual bath from major impurity. His ablution was for prayer. Then he would put his hand into a container and search through the roots of his hair. When he thought that he had thoroughly reached all of the skin, he would pour water on his head three times. After that, he would perform the ritual bath. Uruwah said, except that he used to start with washing his hands, then his private parts.  

أَنَّ رَسُولَ اللهِ ﷺ كَانَ يَتَوَضَّأُ إِذَا أَرَادَ أَنْ يَغْتَسِلَ مِنَ الْجَنَابَةِ وُضُوءَهُ لِلصَّلَاةِ ثُمَّ يُدْخِلُ يَدَهُ فِي الْإِنَاءِ فَيَتَتَبَّعُ أُصُولَ شَعَرِهِ فَإِذَا ظَنَّ أَنْ قَدِ اسْتَبْرَأَ الْبَشَرَةَ كُلَّهَا أَفْرَغَ عَلَى رَأْسِهِ ثَلَاثًا ثُمَّ يَغْتَسِلُ وقَالَ عُرْوَةُ غَيْرَ أَنَّهُ يَبْدَأُ فَيَغْسِلُ يَدَهُ ثُمَّ فَرْجَهُ  

"When AlIah's Messenger wanted to perform Ghusl for Janabah, he would begin by washing his hands before putting them into the vessel. Then he would wash his private area, and perform the Wudu (as one does) for Salat. Then he would wet his hair with the water, then he would pour water over his head with his hands three times." (Using translation from Tirmidhī 104)   

كَانَ رَسُولُ اللهِ ﷺ إِذَا أَرَادَ أَنْ يَغْتَسِلَ مِنَ الْجَنَابَةِ بَدَأَ بِغَسْلِ يَدَيْهِ قَبْلَ أَنْ يُدْخِلَهُمَا فِي الْإِنَاءِ ثُمَّ يَغْسِلُ فَرْجَهُ ثُمَّ يَتَوَضَّأُ وُضُوءَهُ لِلصَّلَاةِ ثُمَّ يُشْرِبُ شَعْرَهُ الْمَاءَ ثُمَّ يَحْثِي عَلَى رَأْسِهِ ثَلَاثَ حَثَيَاتٍ وَقَالَ الشَّافِعِيُّ فِي إِسْنَادِهِ عَنْ هِشَامٍ وَقَالَ فِي الْحَدِيثِ فَغَسَلَ يَدَهُ قَبْلَ أَنْ يَدْخِلَهَا الْإِنَاءَ