Transpose in chunks with vba

[JPfowl]

I have 135,000 cells that need to be transposed which is too large to use the paste special transpose or the transpose array. The range does fit within excels row and column limits but excel just can't handle that many cells at once. Is there vba that would allow me to take the entire selection and transpose itin pieces? Or is there another way to approach this?
Edit: I should add that I can transpose a row or column at a time but I would need to do that 8000 times.