By the turn it seems nobody wants this.
At what point in this sorry mess do you take a stab at it?
It is clear by then that no-one has an A
I entered the hand just because it was so cheap, and I've no trouble throwing it away if anyone had shown aggression here.
When you see what villains had, you can see why no-one wanted to bet.
IPoker, $0.02/$0.05 No Limit Hold'em Cash, 6 Players
Hero (BB): $6.21 (124.2 bb)
UTG: $5.59 (111.8 bb)
MP: $5.13 (102.6 bb)
CO: $2 (40 bb)
BTN: $2 (40 bb) 31/30/8/5 v/p/3/af 68 H
SB: $1.03 (20.6 bb) 2 H
Preflop: Hero is BB with K:c 5:c
3 folds, BTN raises to $0.10, SB calls $0.08, Hero calls $0.05
Flop: ($0.30) K:d A:d J:c (3 players)
SB checks, Hero checks, BTN checks
Turn: ($0.30) 3:h (3 players)
SB checks, Hero checks, BTN checks
River: ($0.30) 7:d (3 players)
SB checks, Hero checks, BTN checks
Spoiler
Results: $0.30 pot ($0.01 rake)
Final Board: K:d A:d J:c 3:h 7:d
Hero mucked K:c 5:c and won $0.29 ($0.19 net)
BTN showed 8:s 8:h and lost (-$0.10 net)
SB showed J:s 5:h and lost (-$0.10 net)