Edit in JSFiddle

function runOnLoad() {
	BrowserDetect.detectBrowser();
}
var BrowserDetect = {
	init: function () {
        // Detect browser...
		this.browser = this.searchString(this.dataBrowser) || "ein unbekannter Browser";
        // Detect version...
		this.version = this.searchVersion(navigator.userAgent)
			|| this.searchVersion(navigator.appVersion)
			|| "eine unbekannte Version";
	},
	showWarning: function () { //special warning for IE8
		document.getElementById('browser_warning').style.display = "block";
	},
	displayInfo: function () {
        document.getElementById('ua').innerHTML = navigator.userAgent; //display UserAgent
        document.getElementById('appv').innerHTML = navigator.appVersion; //display AppVersion
		document.getElementById('browser').innerHTML = this.browser; //display detected browser
		document.getElementById('version').innerHTML = this.version; //display detected version
	},
	detectBrowser: function () {
		switch (this.browser) {
			case "ein unbekannter Browser":
				this.displayInfo();
				break;
			case "Internet Explorer":
				if (this.version == "eine unbekannte Version") {
				} else if (this.version < 8) {
					this.displayInfo();
				} else if (this.version == 8) { //I'm just picking on IE8 for sport
					this.displayInfo();
					this.showWarning();
				} else if (this.version > 8) {
					this.displayInfo();
				}
				break;
			case "Chrome":
				if (this.version == "eine unbekannte Version") {
				} else if (this.version < 40) {
					this.displayInfo();
				}
				break;
			case "Firefox":
				if (this.version == "eine unbekannte Version") {
					this.displayInfo();
				} else if (this.version < 36) {
					this.displayInfo();
				}
				break;
			case "Safari":
				if (this.version == "eine unbekannte Version") {
				} else if (this.version < 8) {
					this.displayInfo();
				}
				break;
			case "Opera":
				if (this.version == "eine unbekannte Version") {
				} else if (this.version < 28) {
					this.displayInfo();
				}
				break;
			default:
				this.displayInfo();
				break;
		}
	},
	searchString: function (data) {
        if (window.chrome) {
            //returns true for Chrome, Opera (15+) and Iron - but not Safari.
            document.getElementById("is_chrome").innerHTML = "true";
            var lastItem = document.getElementById("browser_warning");
            var chromeWarning = document.createElement("p");
            chromeWarning.id = "chrome_special_warning";
            chromeWarning.innerHTML = "Shortcut to Chrome detection?";
            lastItem.parentNode.insertBefore(chromeWarning, lastItem);
        }
        if (window.opera) {
            //only Opera <=12 has window.opera
            //but will they reintroduce it in a future version?
            document.getElementById("is_opera").innerHTML = "true";
            var lastItem = document.getElementById("browser_warning");
            var operaWarning = document.createElement("p");
            operaWarning.id = "opera_warning";
            operaWarning.innerHTML = "Warning, you're using an older version of Opera.";
            lastItem.parentNode.insertBefore(operaWarning, lastItem);
        } else if (navigator.vendor === "") {
            //only Firefox supports navigator.vendor but leaves it empty.
            //It appears not to be possible to override this.
            //TODO: check if this is always true so we can depend on it.
            //If an older version of Firefox has a user-string "Firefox 100",
            //this will return Firefox version 100
    		document.getElementById('vendor').innerHTML = "<i>leerstring</i>"
            if (navigator.userAgent.indexOf("SeaMonkey") != -1) { //if SeaMonkey
                this.versionSearchString = "SeaMonkey";
                return "SeaMonkey";
            } else if (navigator.userAgent.indexOf("Firefox") != -1) { //if Firefox
                this.versionSearchString = "Firefox";
                return "Firefox";
            } else { // Mozilla-based browser that doesn't have Firefox in the useragent string
                return "Unkown Mozilla-based browser";
            }
        }
        //navigator.vendor is supported by Webkit/Blink browsers: Safari, Chrome and Opera 15+
        //but there is a motion to remove it from Blink.
        else if (navigator.vendor) { //if navigator.vendor exists, display it.
    		document.getElementById('vendor').innerHTML = navigator.vendor.toString();
            if (navigator.vendor.indexOf("Google") != -1) { //if Chrome
                this.versionSearchString = "Chrome";
                return "Chrome";
            } else if (navigator.vendor.indexOf("Apple") != -1) { //if Safari
                this.versionSearchString = "Version";
                return "Safari";
            } else if (navigator.vendor.indexOf("Opera") != -1) { //if Opera (15+)
                this.versionSearchString = "OPR";
                return "Opera";
            } else { //not Chrome or Safari but does have navigator.vendor!
                return "ein unbekannter Browser";
            }
        } else {
            for (var i=0;i<data.length;i++)	{
                var dataString = data[i].string;
                var dataProp = data[i].prop;
                this.versionSearchString = data[i].versionSearch || data[i].identity;
                if (dataString) {
                    if (dataString.indexOf(data[i].subString) != -1) {
                        return data[i].identity;
                    }
                } else if (dataProp) {
                    return data[i].identity;
                }
            }
        }
	},
	searchVersion: function (dataString) {
		var index = dataString.indexOf(this.versionSearchString);
		if (index == -1) return;
		return parseFloat(dataString.substring(index+this.versionSearchString.length+1));
	},
	dataBrowser: [{
		string: navigator.userAgent,
		subString: "SeaMonkey",
		identity: "SeaMonkey"
	},{
        prop: window.opera,
        identity: "Opera",
        versionSearch: "Version"
    },{
		string: navigator.userAgent,
		subString: "MSIE",
		identity: "Internet Explorer",
		versionSearch: "MSIE"
	}]
};
BrowserDetect.init();
runOnLoad();
<p>This is a javascript browser-check that I'm updating because of IE11's user-agent string.</p>
<p>Browser: <span id="browser">Initial</span></p>
<p>Version: <span id="version">Initial</span></p>
<hr/>
<p>User-Agent String: <span id="ua">Initial</span></p>
<p>navigator.appVersion: &nbsp; &nbsp; &nbsp; &nbsp; <span id="appv">Initial</span></p>
<p>navigator.vendor: <span id="vendor">Initial</span></p>
<p>if window.chrome: <span id="is_chrome">false</span></p>
<p>if window.opera: <span id="is_opera">false</span></p>
<p id="browser_warning">Warning: <span>You are using Internet Explorer 8</span></p>
#browser_warning {
    display:none;
}
[id*=warning] {
    color: #f00;
}
span {
    font-weight: 700;
}