Goosen, an 8-and-7 winner over Kenneth Ferrie in the first round, moves on to face fourth-seed Michael Campbell in the semifinals. Campbell played the longest match of the day as he outlasted Steve Elkington 1-up in 37 holes.
In a battle of European Ryder Cuppers, Irishman Paul McGinley routed England's Luke Donald, 9 and 8. McGinley will take on Angel Cabrera in the semifinals. Cabrera advanced with a 4-and-3 win over Spaniard Jose Maria Olazabal.
The top-seeded Goosen rolled in the quarterfinals, picking up right where he left off Thursday afternoon. The South African won the first with a Hensby bogey. Hensby, who handed Colin Montgomerie his first ever first-round loss here, also bogeyed three and four to fall 3-down.
Goosen's birdie on the par-3 fifth padded his cushion. He also birdied the seventh to go 5-up. Hensby's struggles continued as he dropped shots at the ninth and 10th to fall 7-down.
Another bogey at the 11th by Hensby, gave Goosen an 8-up lead. Goosen took the 13th with a birdie and the 16th when Hensby tripped to his eighth bogey of the round on the West Course at the Wentworth Club.
Goosen lost the 18th when Hensby finally made a birdie, but all that was left to wonder was would Goosen claim the match by the largest winning margin.
The duo halved the first three holes of the second 18 with pars. Goosen won three straight holes from the 22nd with two birdies and a Hensby bogey. The pair halved the 25th as Goosen closed out the match 12 and 11.
'It's just lucky for me the last two days that I have managed to get ahead very quickly and stay there and win by a big margin,' Goosen said. 'Conditions were tough out there today, it's tricky with the breeze. He started hitting a few bad shots and then lost some confidence.'
The 12-and-11 win tied the largest winning margin in event history. Goosen pounded Jeff Maggert by the same score one year ago.
'Mark struggled and that's pretty much what happened with Jeff Maggert,' said Goosen. 'He pretty much struggled all the way, especially on the back nine this morning, and that's really where I got ahead.'
Campbell took an early 2-up lead in his match with a birdie on two and an eagle on the par-5 fourth. However, the U.S. Open champion bogeyed seven and eight to square the match.
Elkington, the 1996 PGA Championship winner, took a 2-up lead with birdies on 10 and 12. After Campbell won the 13th with a par, Elkington won four straight holes from the 14th to jump to a 5-up lead.
Campbell, who downed Geoff Ogilvy in his first match, cut into that margin as he won the 18th with a birdie. On the second 18, Campbell cut his deficit to 3-down with wins on the 21st and 22nd.
Elkington, who trounced South African Tim Clark 6 and 5 on Friday, fought back with wins on the 25th and 26th holes. Campbell won two of the next three holes to get the deficit back down to 2-down. The Australian bogeyed back-to-back holes to lose his lead.
Campbell then bogeyed the 33rd hole to drop 1-down. Elkington could not save par on the 35th hole and the match went into overtime as each player birdied the 36th hole. On the first extra hole, Campbell got up and down for par from long, left of the green to win the match, 1-up.
McGinley, who won six of seven holes from the 24th to blow open his first match on Thursday against Thomas Bjorn, got hot early on Friday. The Irishman took a 4-up lead as he won four of six holes from the second.
Donald stemmed the tide with a birdie on the seventh, but he bogeyed the next to again fall 4-down. The duo traded two holes apiece from the 12th before Donald bogeyed the 16th to drop 5-down.
McGinley birdied the 18th to take a 6-up cushion into the afternoon session. Donald dropped a shot at the 21st and McGinley birdied the 23rd to push his lead to 8-up.
Donald, who never trailed en route to his 7-and-6 win over Bernhard Langer in the first round, got one back with a birdie on the 24th, but he bogeyed the next two fall 9-down. The match was over two holes later after a pair of halves.
'I'm obviously pleased. Luke is a world class player and he had a lot of support out there as a local boy,' McGinley said. 'It was good to come through against a very difficult opponent. I realized that Luke was going to come at me in the afternoon and match play being such a fickle thing, momentum is massive. I knew I had to keep him at arm's length.'
Cabrera, who bested Trevor Immelman in round one, never trailed Olazabal. The Argentine has yet to trail in either of his two matches. Cabrera led 2-up after nine, with birdies on the third and seventh.
Olazabal birdied the 10th to get back to 1-down, but Cabrera got that back with a birdie on the 14th. The duo split the next two holes and Cabrera led 2-up after the opening 18.
In the afternoon, Cabrera eagled the par-5 22nd and birdied the next to extend his lead to 4-up. Olazabal, who eagled the 36th hole for a hard-fought 1-up win over David Howell on Thursday, got back within 2-down with wins on the 27th and 28th holes.
Cabrera claimed consecutive holes from the 31st to regain a 4-up lead. After the pair halved the 33rd with pars, the match was over.
'This is a great day for me,' Cabrera said. 'I think I beat one of the great match play players. He is unbelievable and to beat him means a lot to me. It could be a big week for Argentina here at Wentworth after my win in the BMW and Eduardo Romero winning the Senior Masters here.'