"To apportion any blame" means to assign or distribute responsibility or fault among different individuals or parties involved in a situation or problem. Full definition
The researchers see a possible explanation for this fact in the different mechanisms for apportioning blame for the errors. (sciencedaily.com)
Without apportioning blame here, we would note that both crises are involving the further cultural advance of the «permissive» vision of sex and love and the further marginalisation of the only realistic alternative, the Catholic vision. (faith.org.uk)
It is reasonable to conclude that China's rising carbon footprint is in no small part attributable to the consumer demands of its trading partners and points to the challenge of apportioning blame responsibilities on a geographic basis, as the current international climate negotiations attempt to do. (greenleapforward.com)