Martin Panter added the comment:

I was only referring to the original Python documentation and library. See the 
base64.encode() implementation for an example which does do this 57-byte 
pre-chunking. Simplified:

MAXLINESIZE = 76 # Excluding the CRLF
MAXBINSIZE = (MAXLINESIZE//4)*3  # 57
...
while True:
    s = input.read(MAXBINSIZE)
    if not s:
        break
    line = binascii.b2a_base64(s)
    output.write(line)

Here’s my attempt to rewrite the doc (3.6 version):

'''
Convert binary data to the base 64 encoding defined in :rfc:`4648`. The return 
value includes a trailing newline ``b"\n"`` if *newline* is true.

To be MIME-compliant, base 64 output should be broken into lines at most 76 
characters long. One way to do this is to call this function with 57-byte 
chunks and ``newline=True``. Also, the original PEM context-transfer encoding 
limited the line length to 64 characters.
'''

But if PEM is long gone as you say, perhaps we don’t need that last sentence?

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<http://bugs.python.org/issue25495>
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