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As we can see, we cannot add an EXPLICIT operator to 6÷2(1+2) without maintaining the IMPLICIT relationship that was stated with IMPLIED multiplication. 6÷2(1+2) == 6÷(2*(1+2)).
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==Correctly solving left to right==
If we insist on a left to right solution, ignoring both PEMDAS and the Distributive Law, we can do this by expressing the common divisor first. However, division is sustained and must be applied to everything to the right of the explicit division operator.
::''6÷2(1+2)=?''
::''3÷1(1+2)=?''
::''3÷(1+2)=?''
::''3÷(3)=?''
::''3÷3=1''
When we reduce by the common divisor, this does not complete the division operation, it simply reduces the coefficient to one. Division must be applied to both the factor and the coefficient.
==The equation is not ambiguous ==