How do you suppress your pride in an arguement with your fiance?

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So me and my fiance have fights. Who doesn't, Right? Well we both have this pride issue going for each other. When we get into a fight neither one will back down. Till the Hit fits the shan... In other words till one feels worse then the other. And i was wondering How you suppress the urge to fight back. I'm in the army so i already have the pride issue. Especially when i know( think) i am right. So how do you sit there and let the other person win the argument before it gets too bad? I mean i should know right? When to pick my battles well my fiance has a strong vocabulary and when feelings are hurt, words are said that shouldn't be said. Like if i said something was disgusting... Not my fiance but something... My fiance would flip out and take it defensively. So automatically I am like' i wasn't talking about you i was talking..." about so and so. And itll escalade from there. Any suggestions?