Assuming the following working DDL:
CREATE DATABASE `stackoverflow`;
CREATE TABLE `Grupo` (
  `id` int(11) NOT NULL AUTO_INCREMENT,
  `Nome` varchar(85) DEFAULT NULL,
  `bol_ativo` char(1) DEFAULT 'S',
  PRIMARY KEY (`id`)
);
CREATE TABLE `Processo` (
  `id` int(11) NOT NULL AUTO_INCREMENT,
  `numero` int(11) DEFAULT NULL,
  `ativo` char(1) DEFAULT 'S',
  `encaminhado` char(1) DEFAULT 'N',
  PRIMARY KEY (`id`)
);
And as a response to the following DML query:
INSERT INTO `Grupo` (`id`,`Nome`,`bol_ativo`) 
    VALUES  (1,'g1','S'),
            (2,'g2','S'),
            (3,'g3','S'),
            (4,'g4','N');
INSERT INTO `Processo` (`id`,`numero`,`ativo`,`encaminhado`)
    VALUES  (1,1,'S','N'),
            (2,1,'S','N'),
            (3,1,'S','N'),
            (4,2,'S','N'),
            (5,2,'S','N'),
            (6,1,'S','N'),
            (7,2,'S','N'),
            (8,2,'S','N'),
            (9,4,'S','S'),
            (10,2,'N','N'),
            (11,3,'N','N');
            
SELECT `g`.`Nome` AS `NOME`, COUNT(`p`.`id`) AS `Total`
FROM `Grupo` `g`
LEFT JOIN (
        SELECT * FROM `Processo` `p` 
        WHERE 1=1
            AND `p`.`ativo` = 'S'
            AND `p`.`encaminhado` = 'N'
    )  p ON (`p`.`numero` = `g`.`id`)
WHERE 
    `g`.`Bol_ativo` = 'S' 
GROUP BY `g`.`Nome`;
Reference:
[Paul Dubois at al, 2005], Mysql® 5.0: Certification Study Guide