Germany manager Joachim Low said he was pleased how his side came through challenges at Scotland to earn a "well-deserved" 3-2 win on Monday.
The victory put Germany two points ahead of Poland at the top of Euro 2016 qualifying Group D and ensures they will finish at least in the top three and a playoff spot.
They will have two games in October -- at Republic of Ireland and at home to Georgia -- to clinch their automatic qualification.
And after wins this week over Poland and Scotland, boss Low said: "The objective of Poland and this game was six points and that is exactly what we have done.
"So I am proud to say that we have made big steps towards France in 2016.
"As far as this particular match is concerned, it was anything but easy for long stretches of the game particularly as Scotland were practically surrounding their own box, operating long balls and hoping for dead ball situations in front of our box.
"We largely controlled this game and didn't allow Scotland any chances in open play. We were in possession most of the time and the win was well-deserved."
A Thomas Muller brace twice supplied Germany with a lead, though Scotland fought back to equalise after both goals.
"Thomas has a run and he's where a forward has to be. He has a nose for such situations," Low said.
Muller has scored 13 goals and set up three more in 16 games for Germany since the start of the World Cup last year.
The striker said: "It's going well at the moment. I feel good, the ball is falling in the right place and I'm making the right decisions."
With the match level at 2-2, Muller stepped up again, finding Ilkay Gundogan in the middle of the box for the Borussia Dortmund midfielder to score via the post.
"He set it up so well there was nothing for me to do but shoot the ball into the goal," Gundogan said of Muller's pass.
Information from The Associated Press was used in this report.