Say you have 2
Swamp in play and want to cast
Bog Wraith.
Just cast
Dark Ritual as usual. This puts 3 black mana into your mana pool.
Then cast Bog wraith. You are asked to pay the 3B cost. Click on the manapool, now the payment screen says: Pay Mana Cost: 1. Click the remaining swamp and you have paid the cost.
Black Lotus works the same way.
Note, to use the
Black Lotus to pay for something, you must FIRST tap the lotus, just like with
Priest of Titania for instance. These cards cannot be tapped while you are paying for a spell.
Unlike
Sol Ring, which can be tapped after you cast a spell.
Final examples:
You want to play
Bog Wraith with just 2 swamps and a
Sol Ring in play.
You click the
Bog Wraith and then click the ring and the swamps to pay for it.
You want to play
Bog Wraith with just 2 swamps and a
Black Lotus in play.
First, tap the lotus for 3 black mana.
Then cast the
Bog Wraith and click the mana pool to use the 3 black mana in it. Then tap a swamp to complete the payment for the
Bog Wraith.
I probably used far to many words to explain it.
