Borussia Dortmund ran riot on Wednesday as they demolished second division Paderborn 7-1 to book their place in the third round of the German Cup.

With top scorer Pierre-Emerick Aubameyang on the bench, right-winger Gonzalo Castro was Paderborn's main tormentor with two goals and two assists in Dortmund's biggest win of the season so far.

Paderborn took a shock lead through ex-Wolfsburg striker Srdjan Lakic after 21 minutes, but it lasted just four minutes as Thomas Tuchel's team let the goals fly.

Colombia striker Adrian Ramos slotted home the hosts' first, then set up Castro before Japan midfielder Shinji Kagawa netted just before the half-time whistle to make it 3-1 at the break.

Dortmund's Germany midfielder Ilkay Gundogan then netted a penalty before Castro claimed their fifth.

Henrikh Mkhitaryan set up Lukasz Piszczek for a tap in, then slammed home the seventh himself just before the final whistle.

This was the first defeat Paderborn's new coach, ex-Germany international Stefan Effenberg, has suffered in his three games since taking charge.

"We're happy with the amount of goals and chances we created," said Dortmund coach Tuchel.

"The manner of the win was also pleasing and perhaps the early goal we conceded gave us the necessary sharpness and concentration."

It was the highest score of the second-round cup matches, with Bayern Munich knocking out holders Wolfsburg with a 3-1 away win on Tuesday.

Dortmund, who thrashed Augsburg 5-1 on Sunday, have now scored 61 goals this season in just 19 games and are second in the Bundesliga behind runaway leaders Bayern.

The draw for the third round, to be played in December, will be made on Sunday.