Donut Haven fries donuts in batches of $20$, but sells them in boxes of $13$.

If Donut Haven fries just enough batches of $20$ to pack $44$ full boxes of $13$ donuts, how many donuts will be left over?
To pack $44$ full boxes of $13$ donuts, Donut Haven needs to fry $44 \times 13 = 572$ donuts. To fry $572$ donuts, Donut Haven needs to fry $\frac{572}{20} = 28.6$ batches of $20$ donuts. Since Donut Haven cannot fry a fractional batch of donuts, it must fry $29$ batches of $20$ donuts, which is $29 \times 20 = 580$ donuts. Therefore, the number of donuts left over is $580 - 572 = 8$. 