Gods and men are making offeringsLotus Sutra
To the present Buddhas of the worlds of the ten quarters.
The Buddhas as many as there are sands in the River Ganges
Who appeared in this worlds,
Are expounding the Dharma
For the purpose of giving peace to all living beings.
The know the Highest Truth of Tranquil Extinction.
They have the power to employ expedients.
Although they expound the various teachings,
Their purpose is to reveal the Buddha-vehicle.
Knowing the deeds of all living beings,
And their thoughts deep in their minds,
And the karmas they have done in their previous existence,
And their desires, natures, and powers to make efforts,
And also knowing whether each of them is keen or dull,
The Buddhas expound the Dharma according to their capacities,
With various stories of previous lives, parables, similes, and discourses
That is to say, with various expedients.
, chapter 2, trans. Senchu Murano
Now, as it happens, the division of the Dharma into various vehicles, including the Shravaka, the Pratyeka, and Bodhisattva vehicles, are among these expedients. The narrative in the Lotus Sutra is that all are subsumed as various upaya of one coherent pedagogy, so to speak, which is the one Buddha-vehicle, which is itself intended to make all beings Buddhas.
To the OP: did the Buddha intend for the teaching to be divided? Well, it is divided in presentation and in practice, because people are divided by their capacities and preoccupations and other nonsense. In reality, it's a seamless whole. Namo Buddhaya!
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