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enter image description here

As you can see the part around the handle is pulling really bad. Was it not enough divisions from the very beginning? How do I fix this problem without starting all over? Thanks a lot!

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The main problem is that the handle is extruded from the middle of a face instead of from a proper "edge looped" one. Your model ends up with non quads just above the handle and subdiv modifier does not like that.... At this point you might be better off starting again from a cylinder with enough subdivisions for one face to match the size of the handle. Check out the difference in topology between the two models below. The left one started from a 10-face cylinder, the right one from a 20-face cylinder:

enter image description here

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  • $\begingroup$ Thank you, guys! All your suggestions help a lot. I did start all over and the problem is gone. It is like you mentioned, it needs more loop cuts. I should have calculated them from the very beginning. Thanks again for your time!!!!! $\endgroup$ – BlenderNueva Jan 22 at 5:42
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hi as previously stated by other replys you have n-gons in your geo, while not generally bad, it's hard to predict how they will subdivide on curved surfaces, but that is not causing your "pull" problem. Your "pull" problem is caused by the 2 horizontal reinforce loops near each handle, they "amplify" the pull effect.

This is what you did:

enter image description here

If you are in a hurry here is a cheap solution, still you would have those n-gons and from the side you have no control on the transition:

enter image description here

This is my suggested solution:

enter image description here

Here is how it looks:

enter image description here

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This happens, because your model has n-gons near the handle.

N-gons are problematic for the Subdivision modifier, and lead to unpredictable results.
Use closed edge loops and quads instead and Subdivision will work better.

N-gons vs quads enter image description here

Add loopcuts around the whole mug and use To Sphere function, to make it round again.

enter image description here

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