Leicester proved too strong for Stevenage as they ended the non league side's hopes of FA Cup glory.
City's first goal came on 37 minutes when Lloyd Dyer netted with a crisp drive from 13 yards.
Matty Fryatt added the second in the 52nd minute with a carefully placed shot from inside the area.
A spectacular 25-yard lob from Andy King which went in off the bar wrapped up the game for the home side to send Leicester comfortably through.
Stevenage manager Graham Westley told BBC Three Counties Radio:
"I think over the 90 minutes, you could see where the quality lay, and Leicester were the deserved victors.
"They are bright, intelligent players that our players don't get to play against week in week out.
"One or two of our boys will think they did a good job on the day and go away with encouragement from it."
Leicester: Henderson, Edworthy, Tunchev, Kisnorbo (Morrison 5), Mattock, Dyer, Oakley, Andy King, Berner, Fryatt (Dickov 78), Howard (Campbell 78). Subs Not Used: Adams, Hayles, Gradel, Martin.
Goals: Dyer 37, Fryatt 52, Andy King 69.
Stevenage: Day, Bostwick, Albrighton, Henry, Anaclet, Drury (Cole 46), Wilson, Vincenti (Willock 74), Mills, Morison, McMahon (Oliver 74). Subs Not Used: Bayes, Laird, Thomas, Martin.
Booked: Bostwick.
Att: 7,586
Ref: Darren Drysdale (Lincolnshire).
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