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Workings

Hint
Try working backwards.

Answer
148.

148 x 6 = 888.

The easiest way is to divide successive 8's by 6 until you get an integer:
  8 ÷ 6 = 1.3333
 88 ÷ 6 = 14.666
888 ÷ 6 = 148

Workings

Hint
One inch = 25.4 mm.

Answer
Millimetres in a mile.

Reasoning
One inch = 25.4 mm.

So:

1 mile = 1760 yards = 1760 x 3 feet = 1760 x 3 x 12 inches = 1760 x 3 x 12 x 25.4 millimetres = 1,609,344 mm in 1 mile.

And:

2 kilometres = 2000 metres = 2000 x 100 centimetre = 2000 x 100 x 10 millimetres = 2000 x 100 x 10 ÷ 25.4 inches = 2000 x 100 x 10 ÷ 25.4 x 16 = sixteenths of an inch ≈ 1,259,843 sixteenths of an inch in 2 kilometres.

Workings

Hint
Can the fractions be simplified?

Answer
667.

Reasoning
 3        8        1
———  of  ———  of  ———  of 2001
 4        9        2

which simplifies to:
24
——  of 2001
72

which simplifies to:
 1
———  of 2001
 3

Giving 667.

Workings

Hint
Some might argue that this isn't a puzzle.

Answer
Half way, after which it would be running out!