Why wasn't Mahāvīra's definition of division by zero accepted?

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He wrote a book (Ganita Sara Samgraha) where he defined the result of operation of division by zero

A number remains unchanged when divided by zero.

I think this kind of makes sense.

I know that most of you will (and should) disagree with how I view this example, but lets say: You have a cake, and you are told to divide it no amount of times. Wouldn't the result be a cake that is still intact in it's original form?

To be clear, I am asking about the history behind why this definition was rejected.

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Division can be viewed as either quotition or partition. The expression $\text{“}6\div 2\text{''}$ can mean either

  • The number of $2$s that must be added to get $6$; this is quotition; or
  • The number that must be added $2$ times to get $6$; this is partition.

Thus \begin{align} 6 & = \overbrace{2 + 2 + 2}^{\begin{smallmatrix} \text{3 parts,} \\ \text{each equal to 2} \end{smallmatrix}} & & \text{quotition} \\[10pt] 6 & = \underbrace{\quad3 + 3\quad}_{\begin{smallmatrix} \text{2 parts} \\ \text{each equal to 3} \end{smallmatrix}} & & \text{partition} \end{align}

So let's divide $6$ by $0$: \begin{align} 6 & = \overbrace{0 + 0 + 0 + \cdots + 0 + 0 + \cdots\cdots\cdots}^\text{How many?} & & \text{quotition} \\[10pt] 6 & = \underbrace{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}_{\begin{smallmatrix} \text{No terms at all.} \\ \text{What number is each term?} \end{smallmatrix}} & & \text{partition} \end{align}

One may also view it as follows $$ (0\times\text{what?}) = 6. $$