documentclass{minimal}
usepackage{pgfplotstable,pgfplots}
pgfplotsset{compat=newest}

pgfplotstableread{
1   1   440 440
2   2   407 424
3   3   395 426
4   4   382 427
5   5   375 427
6   6   366 427
1   7   391 423
2   8   378 395
3   9   376 396
4   10  366 396
5   11  357 396
1   12  339 389
2   13  333 372
3   14  317 372
4   15  298 372
5   16  279 372
1   17  253 368
2   18  248 352
3   19  236 351
4   20  167 351
5   21  166 351
1   22  158 347
2   23  120 319
3   24  115 319
4   25  109 319
5   26  108 319
1   27  105 314
2   28  115 293
3   29  108 293
4   30  108 292
5   31  103 293
1   32  102 289
2   33  108 268
3   34  100 268
4   35  98  270
5   36  99  269
1   37  94  266
2   38  102 250
3   39  92  250
4   40  95  251
5   41  93  251
1   42  91  249
2   43  96  236
3   44  93  237
4   45  89  238
5   46  85  241
1   47  85  237
2   48  93  233
3   49  85  232
4   50  87  232
5   51  84  232
1   52  85  232
}data

begin{document}
begin{tikzpicture}
    begin{axis}[xmin=1, xmax=52,
                 ymin=0, ymax=450,
                 xtick={1,7,12,17,22,...,52},
                 minor x tick num=2,
                 xticklabels={1,2,...,10},
                 x tick label as interval,
                 xmajorgrids,
                 axis x line*=top,
                 hide y axis,
                 xlabel={Timestep}
                 ]
    end{axis}
    %
    begin{axis}[xmin=1, xmax=52,
                 ymin=0, ymax=450,
                 axis x line*=bottom,
                 xtick={1,6,11,16,21,...,52},
                 minor x tick num=4,
                 xticklabels= {1,6,5,5,5,5,5,5,5,5,5},
                 xlabel={Newton-Iterations},
                 ylabel={GMRes-Iterations},
                 ]
                 addplot[mark=none, red] table [x index=1,y index=2]
                    {data};
                 addplot[mark=none, blue] table [x index=1,y index=3]
                    {data};
    end{axis}
end{tikzpicture}
end{document}