A process for hydrocracking a feed comprising 20% to 100% by volume of compounds, having a boiling temperature of more than 340°C, preferably more than 370°C, a sulphur content in the range 0.01% to 5% by weight, a nitrogen content of more than 500 ppm by weight, preferably in the range 500 to 1000 ppm by weight, a cumulative nickel and vanadium content of less than 2 ppm by weight and an asphaltenes content of less than 3000 ppm by weight, preferably less than 1000 ppm by weight, said process comprising: a) a step a) for hydrocracking said feed, at a temperature of more than 200°C, a pressure of more than 1 MPa, a space velocity in the range 0.1 to 20 h -1 and a volume ratio, in litre of hydrogen/litre of feed, in the range 80 to 5000, and a hydrocracked effluent is obtained, b) a step b) for separating the effluent obtained from the hydrocracking step a) carried out in a hot separation zone comprising a high pressure hot separator, said pressure being more than 0.5 MPa and less than the pressure employed in the hydrocracking step a), and the temperature being in the range 200°C to 450°C, and a gaseous effluent is obtained from the head of the high pressure hot separator and a heavy effluent is obtained from the bottom of the high pressure hot separator, c) a step c) for separating the gaseous effluent obtained from step b) at the head of the high pressure hot separator carried out in a cold separation zone comprising a high pressure cold separator at a temperature in the range 0°C to 200°C, and at a pressure of more than 0.5 MPa and less than the pressure employed in step b), and a gaseous effluent is obtained from the head of the high pressure cold separator and a heavy effluent is obtained from the bottom of the high pressure cold separator, d) a step d) for separation of all or part of the heavy effluent obtained from step b), carried out in a separation column selected from a stripper or a reboiler column, operating between 0,001 MPa and 2,. MPa, préférentialy between 0,01 and 1,0 MPa and more preferentialy between 0,1 and 0,5 MPA, and a gaseous effluent is obtained from the head of said column and a residue from the bottom of the column, and at least a portion of said residue or all if it, concentrated in HPNA, is purged, e) a step e) for fractionation of the heavy effluent obtained from step c) and of the gaseous effluent obtained in step d), said step being carried out in a fractionation section, and at least one naphtha fraction, at least one gas oil fraction, and a residue are obtained and said residue is recycled, in part or in its entirety, to the hydrocracking step a). a) a step a) for hydrocracking said feed, at a temperature of more than 200°C, a pressure of more than 1 MPa, a space velocity in the range 0.1 to 20 h -1 and a volume ratio, in litre of hydrogen/litre of feed, in the range 80 to 5000, and a hydrocracked effluent is obtained, b) a step b) for separating the effluent obtained from the hydrocracking step a) carried out in a hot separation zone comprising a high pressure hot separator, said pressure being more than 0.5 MPa and less than the pressure employed in the hydrocracking step a), and the temperature being in the range 200°C to 450°C, and a gaseous effluent is obtained from the head of the high pressure hot separator and a heavy effluent is obtained from the bottom of the high pressure hot separator, c) a step c) for separating the gaseous effluent obtained from step b) at the head of the high pressure hot separator carried out in a cold separation zone comprising a high pressure cold separator at a temperature in the range 0°C to 200°C, and at a pressure of more than 0.5 MPa and less than the pressure employed in step b), and a gaseous effluent is obtained from the head of the high pressure cold separator and a heavy effluent is obtained from the bottom of the high pressure cold separator, d) a step d) for separation of all or part of the heavy effluent obtained from step b), carried out in a separation column selected from a stripper or a reboiler column, operating between 0,001 MPa and 2,. MPa, préférentialy between 0,01 and 1,0 MPa and more preferentialy between 0,1 and 0,5 MPA, and a gaseous effluent is obtained from the head of said column and a residue from the bottom of the column, and at least a portion of said residue or all if it, concentrated in HPNA, is purged, e) a step e) for fractionation of the heavy effluent obtained from step c) and of the gaseous effluent obtained in step d), said step being carried out in a fractionation section, and at least one naphtha fraction, at least one gas oil fraction, and a residue are obtained and said residue is recycled, in part or in its entirety, to the hydrocracking step a).