Hank's investigation
29 episodes of Breaking Bad carry this thread, 1d 5h in all — 28 of them are in The Essentials.
In airing order

Walter announces to the family that he has cancer; the DEA believes there is a new big-time player in the Albuquerque drug business; a depressed Walter takes his anger out on a worthy recipient; Jesse pays a surprise visit to his parents' house.

Walter, in the throes of his chemotherapy treatment and needing money more than ever, agrees to cook more crystal meth with Jesse; Skinny Pete hooks Jesse up with an important new contact, while the DEA intensifies its investigation of Albuquerque's new drug kingpin.

Trying to dissociate themselves from the volatile Tuco takes a bad turn when Walt and Jesse get trapped with the dealer, and Skyler, worried about her missing husband, receives comfort from her sister and brother-in-law. Hank, meanwhile, pays a business call on Jesse's mother.

Walt and Jesse attempt to cover their tracks and distance themselves from Tuco, but they soon find that business is taking a hit along with their financial situation. Meanwhile, Hank and his DEA investigation into the meth ring get a major break that just might put Walt and Jesse in their crosshairs.

Hank deals with some lingering aftereffects from his confrontation with Tuco; bills are piling up at the White house and tensions are beginning to run high; Jesse organizes a crew of dealers to take their product to the streets.

Walt and Jesse contemplate an expansion of their business; Hank experiences a hassle in El Paso as he tries to adapt to his new coworkers; Skyler's new job opportunity leads to her reconnecting with an ex-colleague; and Jesse interacts with his new landlady.

Badger's brush with the law leads Walt and Jesse to call in a shady lawyer; the DEA believes it has a line on the mysterious and elusive "Heisenberg"; Hank's stint in El Paso is up and he returns to Albuquerque, but his mental makeup causes concern for Marie.

Walt disregards Skyler's demands and the rift between them widens dramatically, pushing her to take even more drastic steps. Meanwhile, continuing anxiety and panic attacks plague Hank, which leads to a serious situation at the Drug Enforcement Agency.

Skyler's latest bit of bad news proves to be a blow to Walt, and his loss of control endangers his job and his business relationships with Saul and Jesse. Hank goes full-speed ahead into the agency's investigation of the blue-meth case, while Jesse cooks up a new plan.

Walt moves into new digs and a distraught Walter Jr. demands to know just where his parents' relationship stands. Meanwhile, Hank's investigation is beginning to hit too close to home for Walt, causing serious concerns for him and Jesse.

Hank's behavior becomes increasingly more unpredictable and volatile, which leads to a confrontation with Jesse and problems at the DEA; Skyler wants Walt to make a deal; and Gus' decisions result in some serious consequences.

The White and Schrader families anxiously await word on Hank's condition. Meanwhile, Jesse takes care of business at the lab while Walt tries to make peace with Gus, but after witnessing a terrifying flash of anger, Walt starts to fear for his and his family's lives.

Hank's stay in the hospital is accompanied by some daunting bills, but Skyler thinks she has a way of dealing with them. Meanwhile, some of the problems between Walt and Gus are ameliorated; and Jesse seeks more independence and grabs a profitable opportunity that presents itself.

Skyler's increased involvement in Walt's business causes him concern; Hank's recovery is plagued by setbacks; and Jesse makes a surprising discovery as he gets more involved in his new enterprise.

In the Season 4 opener, Walt and Jesse are confronted by the life-threatening consequences of their actions. Meanwhile, Skyler contends with a puzzling disappearance, and Marie finds it difficult to help a recovering Hank.

Goings-on at Jesse's place start to get out of control; Skyler reluctantly turns to Saul for help; Marie settles back into an old habit; and Hank hears from an old friend who needs assistance.

Jesse's disappearance leaves Walt fearing the worst; Skyler has a surprising reunion; and Hank gives Det. Roberts bad news.

A frustrated Walt takes on a risky gamble; Skyler encounters problems with her latest business venture; Hank requires Walter Jr.'s services for an unusual reason.

Skyler devises a plan to cure her money woes; Hank recruits Walt to help him work out a theory, while Walt grows impatient with Jesse.

Hank leans on Gomez to explore one final lead, as Walt scrambles to protect his family. Meanwhile, Jesse learns some unsettling news and races to share it with Walt.

In the series 5 premiere, Walt deals with the aftermath of the explosion, while Hank wraps up his investigation of Gus and his criminal empire.

Walt and Jesse seek out an unlikely partner for a new business venture. The DEA follows up new leads in its investigation.

Walt ties up loose ends. Seeing the evidence of his success, he makes a startling and dangerous decision.

As Walt and Jesse adjust to life out of the business, Hank grapples with a troubling lead.

While Skyler's past catches up with her, Walt covers his tracks. Jesse continues to struggle with his guilt.

Jesse decides to make a change, while Walt and Skyler try to deal with an unexpected demand.

An unusual strategy starts to bear fruit, while plans are set in motion that could change everything.

Things heat up for Walt in unexpected ways.

Everyone copes with radically changed circumstances.