\fdO'^ - Old Forge Coal Mines

8 ARITHMETIC.
72 in the dividend and 96 in the divisor are divisible by 12,
since 72 divided by 12 equals 6, and 96 divided by 12 equals
8. Cross off the 72 and write the 6 over it ; also, cross off
the 96 and write the 8 under it. Thus,
6
jr^ X 48 X 28 X 1 _
^0x3x7x6
8
The 72 and 96 are 7iot to be considered any longer, and,
in fact, may be £rased entirely and the 6 and 8 placed in
their stead, and treated as if the 72 and 96 never existed.
Thus,
6 X 48 X 28 X 1 _
8X3X7X6 ~
Again, 28 in the dividend and 7 in the divisor are divisible
by 7, since 28 divided by 7 equals 4, and 7 divided by 7
equals 1. Cross off the 28 and write the 4 over it; also, cross
off the 7 and write the 1 under it. Thus,
4
6 X 48 X 2^ X 1 ^
8x3x^x6
1
The 28 and 7 are not to be considered any longer, and, in
fact, may be erased entirely and the 4 and 1 placed in their
stead, and treated as if the 28 and 7 never existed.
6X48X4X1 _
8X3X1X6
Thus,
~
Again,
48 in the dividend and 6 in the divisor are divisible
by 6, since 48 divided by 6 equals 8, and 6 divided by 6 equals
1. Cross off the 48 and write the 8 over it; also, cross off
the 6 and write the 1 under it. Thus,
8
6x^x4x1 ^
8x3x1x0 1
The 48 and 6 are not to be considered any longer, and, in
fact, may be erased entirely and the 8 and 1 placed in their
stead, and treated as if the 48 and 6 never existed. Thus,