Q: my iphone 5s is broken in peices can I get a new phone by paying extra amount to company

Likely you will have to purchase a new iPhone at full price.

See this -> Service Answer Center - iPhone

What type of damages are not covered by my warranty?

Apple's Limited Warranty for iPhone excludes coverage for damage resulting from accident, disassembly, unauthorized service and unauthorized modifications. Please review the warranty for further details.

An iPhone that is ineligible for warranty service may be eligible for Out-of-Warranty (OOW) Service. For example, an iPhone that has failed due to damage or liquid damage is ineligible for warranty service but eligible for OOW service. However, certain damage is ineligible for OOW service, including catastrophic damage, such as the device separating into multiple pieces, and inoperability caused by unauthorized modifications. Please see Apple's Repair Terms And Conditions for further details. Refer to this article to check if the Liquid Contact indicator on your product has been triggered.

If your iPhone is not eligible for warranty service, you may wish to contact an Apple Authorized Service Provider or your carrier for other options.

My iPhone is not eligible for warranty service. What are my service options?

There are two service options for iPhones that are not eligible for warranty service:

1. Battery Replacement Service

   If your iPhone requires service due to the battery’s diminished ability to hold an electrical charge and it is not covered under Apple's warranty or statutory consumer rights, please contact your carrier or an Apple Authorized Service Provider.

2. Out-of-Warranty Service

   Please contact your carrier or an Apple Authorized Service Provider for Out-of-Warranty Service Options