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I do it all the time. I'm experienced at reading the hands and splitting the pots, so even when we pass the deal I take care of the split pots.

A few suggestions on split pots:

1. Determine the high hand first. Then muck any hand which doesn't have a low.

2. If you have tied hands for the high or low:
a. Split the chips into two.
b. Award one half to the side which has only one winner.
c. Now split the remaining chips among the tied hands (which might include the winner of the first side).

3. Stacking chips to split the pots is much easier than counting them. For instance, make two equal stacks of blacks, two equal stacks of reds, etc. Then do the math on just the odd chips out.

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While I am in favor of mucking non-winner hands to reduce confusion, your chops are slightly off since the priority for extra chips is high hand, then first after dealer. If you have a $13.25 pot, $6.75 is split for the high, and $6.50 for low. However, I am open to being wrong on this.