...and now for the facts:

Civil Rights Act of 1964

House of Representatives:
Democrats for:       152
Democrats against:    96
Republicans for:    138
Republicans against: 34

Senate:
Democrats for:       46
Democrats against:    21
Republicans for:      27
Republicans against:   6


Many sources cite numbers provided by an issue of Congressional
Quarterly. For example, on the web site of the 5th Legislative
District Republican Party for the State of Washington, they state:

"The Congressional Quarterly of June 26, 1964 recorded that in the
Senate, only 69 percent of Democrats (46 for, 21 against) voted for
the Civil Rights Act as compared to 82 percent of Republicans (27 for,
6 against). All southern Democratic senators voted against the act.
[...] In the House of Representatives, 61 percent of Democrats (152
for, 96 against) voted for the Civil Rights Act; 92 of the 103
Southern Democrats voted against it. Among Republicans, 80 percent
(138 for, 34 against) voted for it."