Here's my solution for this puzzle. It's a little long-winded, but this will guarantee you this achievement. You can either watch my video guide or follow the step by step instructions below the video:
1: A♣ → Foundations
2: 3♥ → Free Cell
3: 5♣ → Free Cell
4: Q♠ → Free Cell
5: 10♦ → Free Cell
6: A♦ → Foundations
7: 5♣ → 6♦
8: Q♣ → Free Cell
9: 8♠ → Empty Column
10: 3♥ → 4♠
11: Q♣ → K♥
12: 7♦ → Free Cell
13: A♠ → Foundations
14: 10♦ → J♣
15: 5♠ → Free Cell
16: 2♣ → Foundations
17: 8♣ → Free Cell
18: J♦ → Q♣
19: 7♦ → 8♠
20: 8♦ → Free Cell
21: 4♥ → 5♣
22: 8♦ → 9♣
23: 3♥ → Free Cell
24: 4♠ → Empty Column
25: 10♠ → J♦
26: 3♥ → 4♠
27: 9♣ 8♦ → 10♦
28: 8♥ → Free Cell
29: 2♠ → Foundations
30: 6♣ → 7♦
31: 7♣ → 8♦
32: Q♠ → K♦
33: J♦ 10♠ → Q♠
34: 4♦ → Free Cell
35: 5♠ → Empty Column
36: 4♦ → 5♠
37: 6♦ 5♣ 4♥ → 7♣
38: 3♠ → Foundations
39: 3♣ → Foundations
40: 3♥ → Free Cell
41: 4♠ → Foundations
42: 4♦ → Free Cell
43: 5♠ → Foundations
44: Q♣ → Empty Column
45: K♥ → Empty Column
46: Q♦ → K♠
47: Q♣ → K♥
48: J♥ → Q♣
49: 2♦ → Foundations
50: A♥ → Foundations
51: 3♥ → Empty Column
52: 6♣ → 7♥
53: Q♦ → K♣
54: K♠ → Free Cell
55: 2♥ 3♥ 4♥ → Foundations
56: 4♦ → 5♣
57: 7♠ → Free Cell
58: 3♦ 4♦ 5♦ 4♣ 5♣ 6♦ 6♣ 7♣ 8♣ → Foundations
59: 9♥ → 10♠
60: J♣ 10♦ 9♣ 8♦ → Q♦
61: 5♥ → Foundations
62: 8♥ → 9♠
63: 7♠ → 8♥
64: K♦ Q♠ J♦ 10♠ 9♥ → Empty Column
65: 6♠ 7♦ → Foundations
66: 7♥ → 8♠
67: 10♥ → J♠
The game should auto-finish at this point, completing this game, and (after a few seconds), pop this achievement.