When a child element overflows horizontally, why is the right padding of the parent ignored?

Handle Overflow: Practical Solutions and Cross-Browser Testing

Leveraging inline-block and child margin

A distinct approach reminisces altering child's display property to inline-block. This change maintains document flow and upholds parent's padding:

.child {
  display: inline-block; /* Kids, play in line! */
}
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Alternatively, adding margin to the child creates space tunefully, circumventing awkward dependency on parent’s padding. A valuable strategy, especially with archaic browsers like IE7:

.child {
  margin-right: 20px; /* Sharing is caring */
}
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Caveat: IE7

Particularly with IE7, anticipate some deviant behavior. This browser doesn't exactly play by the rules. A rigorous inspection and custom workarounds could be pivotal for coherent rendering.

Variety: Spice of Cross-Browser testing

Browsers manifest the dynamic interplay between overflow and padding subtly different. Test fervently. Check your fix across Chrome, Firefox, Safari, Edge, and don't forget legacy browsers!

Safeguarding Visual Consistency

Simulating padding using borders

Enabling a border on the parent element, identical to the background color creates an illusion of padding. Yoohoo, layout consistency!

.parent {
  border-right: 20px solid #FFF; /* Invisible Safety Ring */
}
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Sidestepping float and positioning issues

Tread lightly around float or position: values. These may sever elements from normal document flow sparking chaos with complex layout and unpredictable overflow behaviors.

Standards Compliance

Vigilantly conform to the CSS box model standard. Capitalise box-sizing property to govern how elements measure their dimensions.

Overflow Shenanigans: Examples and Deeper Dives

Scour updated jsFiddle examples to explore diverse scenarios and test your solutions. Uninitialized elements like tables or flex items might behave unexpectedly, warranting unique fixes.

Remember, diligent testing and inspection across different web elements and browser environments are your silver bullets against compatibility hiccups.