Extracting column from comma separated text

I have a long comma-separated delimited file with 20K lines. Here's a sample:

"","id","number1","number2","number3","number4","number5","number6","number7"
"1","MRTAT_1of3.RTS",17.1464602742708,17.1796255746079,17.1132949739337,0.996138996138996,-0.0055810322632996,1,1
"2","MRTAT_2of3.RTS",3.88270908946253,6.13558056235995,1.62983761656512,0.265637065637066,-1.91247162787182,0.718084341158075,1
"3","MRTAT_3of3.RTS",3.87323328936623,1.22711611247199,6.51935046626046,5.31274131274131,2.40945646701554,0.676814519398334,1

I want to print like the columns with id, number4, number5 and number 6 with tab-delimited setting the condition number4 is greater than 4.0. Here's some sample output:

id         number4           number5           number6
MRTAT_3of3.RTS 5.31274131274131  2.40945646701554  0.676814519398334