With sales of $10.1 billion last year, a third of its total, the home and networks business is among Motorola’s (MOT) largest and most profitable. It also makes Motorola one of the top three set-top box manufacturers in the industry. As such, the division will command a hefty price–roughly $4.5 billion, according to The Journal, which posits private equity firms and other communications gear makers as possible buyers.

No word yet on whether the possibility of selling home and networks emerged after Motorola was unable to spin off its mobile-phone business. The company for its part, insists that such a move is still in the cards.

“Separation into two independent, publicly traded companies (Mobile Devices and Broadband Mobility Solutions, which comprise Enterprise Mobility Solutions and Home and Networks Mobility Solutions) is the publicly stated long-term goal of Motorola,” the company said in a statement. “We remain committed to the separation goal and continue to believe that it is the right strategy to position Motorola for long-term success.”

Affected employees were notified this morning, and executives are meeting with remaining staff this afternoon to do damage control.

Slowing consumer and business spending due to the econalypse is the obvious explanation for today’s cuts, though Rhapsody’s struggle to compete with other music services, among them Apple’s (AAPL) iTunes, clearly played a role here as well.

RealNetworks last implemented layoffs in December 2008 when it cut 7.5 percent of its workforce.

UPDATE: A Real spokesperson has confirmed the cuts, noting that the company is “placing greater emphasis on mobile devices and Web platforms and less on editorial and heavy client software.”

Tim Quirk, VP of music programming for Rhapsody, has taken to Twitter to try to drum up some job leads for the folks he just had to let go.

On the CEO search, we’re making very good progress and I will obviously keep you posted, and when we have something to announce, we will do so accordingly.”

– Motorola CEO Greg Brown, Jul. 31, 2008

When Motorola CEO Greg Brown told investors last Thursday that the company was making progress in hiring a CEO for its mobile division, he wasn’t kidding. This morning the company named former Qualcomm (QCOM) COO Sanjay Jha to the position.

“Sanjay’s technical expertise and industry experience make him ideally suited to lead mobile devices,” board Chairman David Dorman said in a statement.

Great news for Motorola (MOT), which has spent months searching for an executive to run its handset division, with several candidates reportedly refusing the job. With that position finally filled, the company is firmly on track to spin off the division as a separate company in the third quarter next year, as planned.

Then begins the arduous task of reversing the ongoing collapse of the company’s post-Razr phone business and its share price which is down more than 61 percent since Oct. 2006.