Method for operating a laundry washing machine (100; 300), said laundry washing machine (100; 300) comprising: - a washing tub external to a washing drum suited to receive laundry; - a control unit; - a water load system (101; 190) suitable to supply water from an external water supply line into a container (110; 172) of said laundry washing machine (100; 300), said water load system (101; 190) comprising: a controllable dosing device (120; 191) arranged between said external water supply line and said container (110; 172) and which is activated and deactivated for conveying therethrough an amount of water from said external water supply line to said container (110; 172); a metering device (125; 192) arranged between said external water supply line and said container (110; 172) for determining the amount of water flowing through said dosing device (120; 191); said method comprising: - a first water conveying step for conveying a first amount of water from said external water supply line through activation and deactivation of said dosing device (120; 191); characterized in that said method comprises: - a control step of determining, by means of said metering device (125; 192), the surplus water flowing through said dosing device (120; 191) after said deactivation of said dosing device (120; 191) in said first water conveying step; - at least a further water conveying step for conveying a further amount of water (Qr(n)) from said external water supply line to said container (110; 172) through activation and deactivation of said dosing device (120; 191), wherein activation and deactivation of said dosing device (120; 191) in said at least a further water conveying step depends on the amount of said surplus water determined in said control step. - a washing tub external to a washing drum suited to receive laundry; - a control unit; - a water load system (101; 190) suitable to supply water from an external water supply line into a container (110; 172) of said laundry washing machine (100; 300), said water load system (101; 190) comprising: a controllable dosing device (120; 191) arranged between said external water supply line and said container (110; 172) and which is activated and deactivated for conveying therethrough an amount of water from said external water supply line to said container (110; 172); a metering device (125; 192) arranged between said external water supply line and said container (110; 172) for determining the amount of water flowing through said dosing device (120; 191); said method comprising: - a first water conveying step for conveying a first amount of water from said external water supply line through activation and deactivation of said dosing device (120; 191); characterized in that said method comprises: - a control step of determining, by means of said metering device (125; 192), the surplus water flowing through said dosing device (120; 191) after said deactivation of said dosing device (120; 191) in said first water conveying step; - at least a further water conveying step for conveying a further amount of water (Qr(n)) from said external water supply line to said container (110; 172) through activation and deactivation of said dosing device (120; 191), wherein activation and deactivation of said dosing device (120; 191) in said at least a further water conveying step depends on the amount of said surplus water determined in said control step. a controllable dosing device (120; 191) arranged between said external water supply line and said container (110; 172) and which is activated and deactivated for conveying therethrough an amount of water from said external water supply line to said container (110; 172); a metering device (125; 192) arranged between said external water supply line and said container (110; 172) for determining the amount of water flowing through said dosing device (120; 191); said method comprising: - a first water conveying step for conveying a first amount of water from said external water supply line through activation and deactivation of said dosing device (120; 191); - a first water conveying step for conveying a first amount of water from said external water supply line through activation and deactivation of said dosing device (120; 191); characterized in that said method comprises: - a control step of determining, by means of said metering device (125; 192), the surplus water flowing through said dosing device (120; 191) after said deactivation of said dosing device (120; 191) in said first water conveying step; - at least a further water conveying step for conveying a further amount of water (Qr(n)) from said external water supply line to said container (110; 172) through activation and deactivation of said dosing device (120; 191), wherein activation and deactivation of said dosing device (120; 191) in said at least a further water conveying step depends on the amount of said surplus water determined in said control step. - a control step of determining, by means of said metering device (125; 192), the surplus water flowing through said dosing device (120; 191) after said deactivation of said dosing device (120; 191) in said first water conveying step; - at least a further water conveying step for conveying a further amount of water (Qr(n)) from said external water supply line to said container (110; 172) through activation and deactivation of said dosing device (120; 191), wherein activation and deactivation of said dosing device (120; 191) in said at least a further water conveying step depends on the amount of said surplus water determined in said control step.