Dividing by a constant can often be done by multiplying with the 
reciprocal value. Here you need to scale it a bit before and after the 
multiplication.

Many FPGAs have 18x18 bit multipliers with a 36bit result. To use that, 
all calculations should be made with max 18bits:

Your 32bit integer value can only use 22 bits to fit in a byte when 
divided by 14800.
So you can ignore the higher 10 bits, and with such a high divisor you 
can also ignore some lower end bits to make it fit into 18bits.

With 18.18 bit fixedpoint in Verilog:

1

wire [35:0] scaleVal = count[21:4] * 18'd145100;  // * 0.55351 = 2^15/14800

2

assign byteVal = scaleVal >> 11;                  // >>(18-15+8)

Sorry I mixed up the shifts from different tries, this should be 
correct:

1

wire [35:0] scaleVal = count[21:4] * 18'd145100;  // * 0.55351 = 2^13/14800

2

assign byteVal = scaleVal >> 9;                   // >>(18-13-4+8)

If you can tolerate some error and have no multipliers:

1

assign byteVal = (count>>14) + (count>>17);