Meaning of 分担させる > > We assigned the work to Mrs Honda. (given translation) I do not understand the English translation. I thought meant 'to divide amongst / to apportion'. So my translation of this would be "We allowed Mrs Honda to divide up the work', i.e we let Mrs Honda decide who was going to do each task. Why is my translation wrong and how do we get to the given translation?

here means to pitch in, do one's part, or pull one's weight. The to divvy up sense is related to this.

If I say , I am telling the listener I have been doing half of the chores.

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means [I/we/or some subject] asked to pitch it/contribute/help with work.