public static void main ( String [ ] args ) {
  FastScanner fs = new FastScanner ( ) ;
  int t = fs . nextInt ( ) ;
  while ( t -- > 0 ) {
    int n = fs . nextInt ( ) ;
    int m = fs . nextInt ( ) ;
    int k = fs . nextInt ( ) ;
    int ans = 0 ;
    int r = n / k ;
    if ( r >= m ) {
      ans = m ;
    }
    else if ( k > 1 ) ans = r - ( int ) ( Math . ceil ( ( float ) ( m - r ) / ( k - 1 ) ) ) ;
    System . out . println ( ans ) ;
  }
}

public static void main ( String [ ] args ) { FastScanner fs = new FastScanner ( ) ; int t = fs . nextInt ( ) ; while ( t -- > 0 ) { int n = fs . nextInt ( ) ; int m = fs . nextInt ( ) ; int k = fs . nextInt ( ) ; int ans = 0 ; int r = n / k ; if ( r >= m ) { ans = m ; } else if ( k > 1 ) ans = r - ( int ) ( Math . ceil ( ( float ) ( m - r ) / ( k - 1 ) ) ) ; System . out . println ( ans ) ; } }
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