dynamic - Button that starts an evaluation which is monitored with a progress indicator

I have a DynamicModule in which I which I wish to start an operation (actually import files) with a button. I would like to monitor the progress with a ProgressIndicator but can't get it to work. This simple example works:

Monitor[

Table[Pause[0.1]; n, {n, 1, 100}],
Dynamic[ProgressIndicator[n, {1, 100}]]
];

I find it interesting that it works even with the final semi-colon. In a DynamicModule this also works:

ClearAll[test];
test[] := DynamicModule[{},
 Row[{Monitor[
   Table[Pause[0.1]; n, {n, 1, 100}],
  Dynamic[ProgressIndicator[n, {1, 100}]]

  ];}]
  ]

test[]

Now I try to put in a button to start and I am lost

ClearAll[test1];
test1[] := DynamicModule[{},
  Row[{Button["Start", Monitor[
   Table[Pause[0.1]; n, {n, 1, 100}],

   Dynamic[ProgressIndicator[n, {1, 100}]]
   ];]}]
  ]   

test1[]

I have tried several alternatives with no success. I would like the progress indicator to appear in the same row as the button once it has been pressed.

Answer

With small modifications of the code provided by m_goldberg you can get the Button and the ProgressIndicator in the same Row. However, it is always there now and will not appear and disappear.

DynamicModule[{n = 1}, 

 Row[{Button["Start", n = 1;
  Do[Pause[0.1]; ++n, {i, 1, 100}], Method -> "Queued"], Spacer[23],
  Dynamic[ProgressIndicator[n, {1, 100}]]}]]

In order to get an appearing and disappearing ProgressIndicator you can use

DynamicModule[{n = 0}, 
  Row[{Button["Start", n = 1;
    Do[Pause[0.1]; ++n, {i, 1, 100}], Method -> "Queued"], Spacer[23],
    Dynamic@If[n == 0 || n == 101, "", ProgressIndicator[n, {1, 100}]]}]]