Multiples of 7: 7,14,21,28,35...
Multiples of 11: 11,22,33.
We observe that the difference 6 appears between 28 and 22
So you keep filling the 7 liter jug and emptying it into the 11 liter jug
After 4 fillings you will be left with 6 liters in the 7-liter jug
**Edit** :adding 2nd solution.
Likewise you can search for a multiple of 11 that is 6 more than a multiple of 7.
55=5*11, 49=7*7
So you can fill the 11 liter jug 5 times and empty it in the 7 liter jug. In the end you will be left with 6 liters in the 11-liter jug