A process for the hydrotreatment of a feed obtained from renewable sources in order to produce paraffinic hydrocarbons carried out in the presence of hydrogen in a fixed bed reactor having a plurality of catalytic zones disposed in series and each comprising at least one hydrotreatment catalyst, in which: a) the total stream of feed F is divided into a number of different part-streams of feed F1 to Fn equal to the number of catalytic zones n, where n is a whole number in the range 1 to 10, in the reactor, the first part-stream of feed F1 being injected into the first catalytic zone Z1, the second part-stream of feed F2 being injected into the second catalytic zone Z2 and so on if n is greater than 2, the hydrotreatment process being operated at a temperature in the range 180°C to 400°C, at a pressure in the range 0.1 MPa to 15 MPa, at an hourly space velocity in the range 0.1 1h -1 to 10 h -1, and with a ratio of the flow rate of hydrogen to the flow rate of feed in the range 150 to 1500 Nm 3 /m 3, the mass flow rate of hydrogen sent to the first catalytic zone representing more than 80% by weight of the total mass flow rate of hydrogen used in the hydrotreatment process, in order to produce at least one effluent containing paraffinic hydrocarbons from the reactor outlet, b) said effluent obtained from step a) undergoes at least one separation step in order to separate at least one gaseous fraction and at least one liquid fraction containing paraffinic hydrocarbons, c) at least a portion of said liquid fraction containing paraffinic hydrocarbons is recycled to the first catalytic zone and to the following catalytic zones in a manner such that - the local recycle ratio for each of the beds, i.e. the weight ratio between the stream of said liquid recycle fraction and the part-stream of feed introduced into the catalytic zone Fn is 2 or less, - the local dilution ratio over each of the beds, i.e. the weight ratio between the quantity of liquid and gaseous diluting streams introduced into the catalytic zone n and the part-stream of feed introduced into the catalytic zone Fn is less than 4. a) the total stream of feed F is divided into a number of different part-streams of feed F1 to Fn equal to the number of catalytic zones n, where n is a whole number in the range 1 to 10, in the reactor, the first part-stream of feed F1 being injected into the first catalytic zone Z1, the second part-stream of feed F2 being injected into the second catalytic zone Z2 and so on if n is greater than 2, the hydrotreatment process being operated at a temperature in the range 180°C to 400°C, at a pressure in the range 0.1 MPa to 15 MPa, at an hourly space velocity in the range 0.1 1h -1 to 10 h -1, and with a ratio of the flow rate of hydrogen to the flow rate of feed in the range 150 to 1500 Nm 3 /m 3, the mass flow rate of hydrogen sent to the first catalytic zone representing more than 80% by weight of the total mass flow rate of hydrogen used in the hydrotreatment process, in order to produce at least one effluent containing paraffinic hydrocarbons from the reactor outlet, b) said effluent obtained from step a) undergoes at least one separation step in order to separate at least one gaseous fraction and at least one liquid fraction containing paraffinic hydrocarbons, c) at least a portion of said liquid fraction containing paraffinic hydrocarbons is recycled to the first catalytic zone and to the following catalytic zones in a manner such that - the local recycle ratio for each of the beds, i.e. the weight ratio between the stream of said liquid recycle fraction and the part-stream of feed introduced into the catalytic zone Fn is 2 or less, - the local dilution ratio over each of the beds, i.e. the weight ratio between the quantity of liquid and gaseous diluting streams introduced into the catalytic zone n and the part-stream of feed introduced into the catalytic zone Fn is less than 4. - the local recycle ratio for each of the beds, i.e. the weight ratio between the stream of said liquid recycle fraction and the part-stream of feed introduced into the catalytic zone Fn is 2 or less, - the local dilution ratio over each of the beds, i.e. the weight ratio between the quantity of liquid and gaseous diluting streams introduced into the catalytic zone n and the part-stream of feed introduced into the catalytic zone Fn is less than 4.