Use a pic 18Fxxxx like 18F2585 for instance, with a 40 Mhz xtal oscillator.
Here the setting for the EUSART @ 115200,n,8,2 (Obtained with Mister E PicMulticalc)
Al.Code:RCSTA = $90 ' Enable serial port & continuous receive TXSTA = $24 ' Enable transmit, BRGH = 1 SPBRG = 86 ' 115200 Baud @ 40MHz, -0,22% SPBRGH = 0 BAUDCON.3 = 1 ' Enable 16 bit baudrate generator
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