The league leaders had Billy McKay to thank after his brace helped them to victory, but Butcher was also pleased with the defensive effort.
"We're doing okay. That's four wins and four clean sheets at home, so I'm delighted," he said, according to BBC Radio Scotland.
"Billy McKay is almost the perfect striker. He's got a heart as big as a bucket and he's on to things so quickly."
Butcher will hope to continue their good form away from home at St Johnstone next weekend.