剩一点儿都没地方搁　How is the sentence composed of?
&quot;搁&quot; is a verb for &quot;to place; to put&quot;

剩一点儿(食物)都没地方搁

剩一点儿 = left a little bit
(吃)剩一点儿(食物)= left a little bit (of food)
(吃)剩一点儿(食物)都 = even left a little bit (of food)

&quot;(吃)剩一点儿(食物)都没地方搁&quot; = &quot;Even left a little bit (of food), there's no place to put it&quot; or &quot;There is no place to put even a little bit of leftover&quot; (rephrase in common English grammar)
The verb &quot;吃&quot; (eat) and the object &quot;饭 or 食物&quot; (food) are omitted because &quot;剩&quot; implied &quot;吃剩&quot;  and the object for &quot;吃剩&quot; (left over) is clearly food

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Why is &quot;都没地方&quot; in front of &quot;搁&quot;?

&quot;没地方&quot;(no place to) is the relative/adverbial phrase for  &quot;搁 &quot; (to place). It gives more details on the simple sentence: &quot;搁(食物)&quot;