Remember to tune in to Sportscene at 22:30 GMT on BBC One Scotland.
We'll be back tomorrow with more cup drama.
In the meantime, take care. đ¤
Clement pleased with 'mature' Rangers
FT: Rangers 2-0 Ayr United
Rangers manager Philippe Clement has been speaking to BBC Scotland after his side progressed to the quarter-finals.
On performance: "We had full control for the 90 minutes. On a lucky day, we score four, five, six.
"It was a mature performance from the team and the most positive thing was we could give minutes to the players who have just come in and players who have been injured."
On Oscar Cortes: "We saw why we brought him here. It's clear from the first training session that he can help us."
On relationship with support: "You need to deserve that with what you do on the pitch. The fans here are incredibly loyal and incredibly fanatic. It gives a good signal to the team that the fans are behind them."
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Post update
We've also got quotes from Rangers boss Philippe Clement coming right up.
We'll give the Belgian the final word...
Brown expresses pride in young players
FT: Rangers 2-0 Ayr Utd
Ayr United boss Scott Brown tells BBC Scotland: "We stuck by our guns, we had a game plan. The young ones did really well today.
"The lads couldn't hear us on the touchline so they had to do it themselves. We've been in three weeks, the lads have taken the information on really well.
"They expressed themselves really well. We need to get points on the board now. The league's the priority."
On referee Willie Collum showing him a yellow card: "It was only a matter of time. He should've sent off Fabio Silva for his second tackle. It's a pressure situation, people can't deal with it."
ICYMI: Watch Miovski's double down Bonnyrigg
FT: Aberdeen 2-0 Bonnyrigg Rose
Video content
Video caption: Watch Bojan Miovski's double against Bonnyrigg Rose as Aberdeen progress to last eightWatch Bojan Miovski's double against Bonnyrigg Rose as Aberdeen progress to last eight
What's in store tomorrow?
We've got two Sunday belters to round off quarter-final weekend:
St Mirren v Celtic (14:00)
Airdrieonians v Hearts (17:00)
We'll provide live text coverage of both games and you'll be able to watch the tie in Airdrie live on Sportscene.
Sportscene to come
You can watch the best of the last-16 action so far on Sportscene later.
BBC One Scotland is the channel you're after.
Be there for 22:30 GMT.
ICYMI: Scenes as Livi complete comeback
FT: Partick Thistle 2-3 Livingston
Video content
Video caption: Watch Livingston complete sensational comeback with Tete Yengi's extra-time winner at Partick ThistleWatch Livingston complete sensational comeback with Tete Yengi's extra-time winner at Partick Thistle
Mood: Last-eight place booked
FT: Rangers 2-0 Ayr Utd
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When's the draw?
You'll catch that live on Sportscene's pre-match coverage tomorrow prior to Airdrieonians v Hearts.
Tune in from 16:30 GMT on BBC One Scotland.
The last-eight line-up so far...
Aberdeen
Airdrieonians or Hearts
Greenock Morton
Hibernian
Kilmarnock
Livingston
Rangers
St Mirren or Celtic
Gripping contest with credit to both sides
FT: Rangers 2-0 Ayr United
Martin Dowden
BBC Sport Scotland at Ibrox
Rangers progress and in cup football that's all the matters. Results just keep coming for Philippe Clement.
The outcome wasn't settled until Fabio Silva's late strike and that's down to an impressive overall Ayr United display.
They were a credit to the Championship and looked more like a Premiership side at times, particularly given how early they conceded but stayed they strong.
It wasn't quite the formality most expected but it's Rangers who take another positive step forward.
FULL-TIME Rangers 2-0 Ayr Utd
Goals from Borna Barisic and Fabio Silva send Rangers through to the last eight of the Scottish Cup.
Had Ben Dempsey taken a glorious chance early in the second half, the game could have been a different one.
But it wasn't to be for a well-drilled Ayr side as Rangers' treble dream remains alive.
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Fabio Silva smashes in Rangers' secondImage caption: Fabio Silva smashes in Rangers' second
Post update
Rangers 2-0 Ayr Utd
Rangers are just passing it about.
Post update
Rangers 2-0 Ayr Utd
Got no idea where these five added minutes came from, by the way.
Post update
Rangers 2-0 Ayr Utd
This feels very much like a formality for Rangers now.
They will be the sixth team in the quarter-final draw.
Post update
Rangers 2-0 Ayr Utd
Five minutes of stoppage time.
Post update
Rangers 2-0 Ayr Utd
Ayr escape conceding a third as an almighty goalmouth scramble is eventually lumped clear.
Post update
Rangers 2-0 Ayr Utd
A rare appearance for Leon King as he replaces Nico Raskin.
Live Reporting
Nick McPheat
All times stated are UK
SNSCopyright: SNS Video caption: Watch Bojan Miovski's double against Bonnyrigg Rose as Aberdeen progress to last eightWatch Bojan Miovski's double against Bonnyrigg Rose as Aberdeen progress to last eight -
St Mirren v Celtic (14:00)
-
Airdrieonians v Hearts (17:00)
Video caption: Watch Livingston complete sensational comeback with Tete Yengi's extra-time winner at Partick ThistleWatch Livingston complete sensational comeback with Tete Yengi's extra-time winner at Partick Thistle 
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Aberdeen
-
Airdrieonians or Hearts
-
Greenock Morton
-
Hibernian
-
Kilmarnock
-
Livingston
-
Rangers
-
St Mirren or Celtic
SNSCopyright: SNS Fabio Silva smashes in Rangers' secondImage caption: Fabio Silva smashes in Rangers' second 
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Latest PostG'night
Enjoy the remainder of your Saturday, troops.
Remember to tune in to Sportscene at 22:30 GMT on BBC One Scotland.
We'll be back tomorrow with more cup drama.
In the meantime, take care. đ¤
Clement pleased with 'mature' Rangers
FT: Rangers 2-0 Ayr United
Rangers manager Philippe Clement has been speaking to BBC Scotland after his side progressed to the quarter-finals.
On performance: "We had full control for the 90 minutes. On a lucky day, we score four, five, six.
"It was a mature performance from the team and the most positive thing was we could give minutes to the players who have just come in and players who have been injured."
On Oscar Cortes: "We saw why we brought him here. It's clear from the first training session that he can help us."
On relationship with support: "You need to deserve that with what you do on the pitch. The fans here are incredibly loyal and incredibly fanatic. It gives a good signal to the team that the fans are behind them."
Post update
We've also got quotes from Rangers boss Philippe Clement coming right up.
We'll give the Belgian the final word...
Brown expresses pride in young players
FT: Rangers 2-0 Ayr Utd
Ayr United boss Scott Brown tells BBC Scotland: "We stuck by our guns, we had a game plan. The young ones did really well today.
"The lads couldn't hear us on the touchline so they had to do it themselves. We've been in three weeks, the lads have taken the information on really well.
"They expressed themselves really well. We need to get points on the board now. The league's the priority."
On referee Willie Collum showing him a yellow card: "It was only a matter of time. He should've sent off Fabio Silva for his second tackle. It's a pressure situation, people can't deal with it."
ICYMI: Watch Miovski's double down Bonnyrigg
FT: Aberdeen 2-0 Bonnyrigg Rose
Video content
What's in store tomorrow?
We've got two Sunday belters to round off quarter-final weekend:
We'll provide live text coverage of both games and you'll be able to watch the tie in Airdrie live on Sportscene.
Sportscene to come
You can watch the best of the last-16 action so far on Sportscene later.
BBC One Scotland is the channel you're after.
Be there for 22:30 GMT.
ICYMI: Scenes as Livi complete comeback
FT: Partick Thistle 2-3 Livingston
Video content
Mood: Last-eight place booked
FT: Rangers 2-0 Ayr Utd
When's the draw?
You'll catch that live on Sportscene's pre-match coverage tomorrow prior to Airdrieonians v Hearts.
Tune in from 16:30 GMT on BBC One Scotland.
The last-eight line-up so far...
Gripping contest with credit to both sides
FT: Rangers 2-0 Ayr United
Martin Dowden
BBC Sport Scotland at Ibrox
Rangers progress and in cup football that's all the matters. Results just keep coming for Philippe Clement.
The outcome wasn't settled until Fabio Silva's late strike and that's down to an impressive overall Ayr United display.
They were a credit to the Championship and looked more like a Premiership side at times, particularly given how early they conceded but stayed they strong.
It wasn't quite the formality most expected but it's Rangers who take another positive step forward.
FULL-TIME Rangers 2-0 Ayr Utd
Goals from Borna Barisic and Fabio Silva send Rangers through to the last eight of the Scottish Cup.
Had Ben Dempsey taken a glorious chance early in the second half, the game could have been a different one.
But it wasn't to be for a well-drilled Ayr side as Rangers' treble dream remains alive.
Post update
Rangers 2-0 Ayr Utd
Rangers are just passing it about.
Post update
Rangers 2-0 Ayr Utd
Got no idea where these five added minutes came from, by the way.
Post update
Rangers 2-0 Ayr Utd
This feels very much like a formality for Rangers now.
They will be the sixth team in the quarter-final draw.
Post update
Rangers 2-0 Ayr Utd
Five minutes of stoppage time.
Post update
Rangers 2-0 Ayr Utd
Ayr escape conceding a third as an almighty goalmouth scramble is eventually lumped clear.
Post update
Rangers 2-0 Ayr Utd
A rare appearance for Leon King as he replaces Nico Raskin.
Silva lining
Rangers 2-0 Ayr Utd