User Animated Scrolling
Here's an example of how to programmatically scroll a <div> horizontally, without JQuery. To scroll vertically, you would replace JavaScript's writes to scrollLeft with scrollTop, instead.
JSFiddle
https://jsfiddle.net/fNPvf/38536/
HTML
<!-- Left Button. -->
<div style="float:left;">
    <!-- (1) Whilst it's pressed, increment the scroll. When we release, clear the timer to stop recursive scroll calls. -->
    <input type="button" value="«" style="height: 100px;" onmousedown="scroll('scroller',3, 10);" onmouseup="clearTimeout(TIMER_SCROLL);"/>
</div>
<!-- Contents to scroll. -->
<div id="scroller" style="float: left; width: 100px; height: 100px; overflow: hidden;">
    <!-- <3 -->
    <img src="https://cdn.sstatic.net/Sites/stackoverflow/company/img/logos/so/so-logo.png?v=9c558ec15d8a" alt="image large" style="height: 100px" />
</div>
<!-- Right Button. -->
<div style="float:left;">
    <!-- As (1). (Use a negative value of 'd' to decrease the scroll.) -->
    <input type="button" value="»" style="height: 100px;" onmousedown="scroll('scroller',-3, 10);" onmouseup="clearTimeout(TIMER_SCROLL);"/>
</div>
JavaScript
// Declare the Shared Timer.
var TIMER_SCROLL;
/** 
Scroll function. 
@param id  Unique id of element to scroll.
@param d   Amount of pixels to scroll per sleep.
@param del Size of the sleep (ms).*/
function scroll(id, d, del){
    // Scroll the element.
    document.getElementById(id).scrollLeft += d;
    // Perform a delay before recursing this function again.
    TIMER_SCROLL = setTimeout("scroll('"+id+"',"+d+", "+del+");", del);
 }
Credit to Dux.
Auto Animated Scrolling
In addition, here are functions for scrolling a <div> fully to the left and right. The only thing we change here is we make a check to see if the full extension of the scroll has been utilised before making a recursive call to scroll again.
JSFiddle
https://jsfiddle.net/0nLc2fhh/1/
HTML
<!-- Left Button. -->
<div style="float:left;">
    <!-- (1) Whilst it's pressed, increment the scroll. When we release, clear the timer to stop recursive scroll calls. -->
    <input type="button" value="«" style="height: 100px;" onclick="scrollFullyLeft('scroller',3, 10);"/>
</div>
<!-- Contents to scroll. -->
<div id="scroller" style="float: left; width: 100px; height: 100px; overflow: hidden;">
  <!-- <3 -->
  <img src="https://cdn.sstatic.net/Sites/stackoverflow/company/img/logos/so/so-logo.png?v=9c558ec15d8a" alt="image large" style="height: 100px" />
</div>
<!-- Right Button. -->
<div style="float:left;">
    <!-- As (1). (Use a negative value of 'd' to decrease the scroll.) -->
    <input type="button" value="»" style="height: 100px;" onclick="scrollFullyRight('scroller',3, 10);"/>
</div>
JavaScript
// Declare the Shared Timer.
var TIMER_SCROLL;
/** 
Scroll fully left function; completely scrolls  a <div> to the left, as far as it will go.
@param id  Unique id of element to scroll.
@param d   Amount of pixels to scroll per sleep.
@param del Size of the sleep (ms).*/
function scrollFullyLeft(id, d, del){
    // Fetch the element.
    var el = document.getElementById(id);
    // Scroll the element.
    el.scrollLeft += d;
    // Have we not finished scrolling yet?
    if(el.scrollLeft < (el.scrollWidth - el.clientWidth)) {
        TIMER_SCROLL = setTimeout("scrollFullyLeft('"+id+"',"+d+", "+del+");", del);
    }
}
/** 
Scroll fully right function; completely scrolls  a <div> to the right, as far as it will go.
@param id  Unique id of element to scroll.
@param d   Amount of pixels to scroll per sleep.
@param del Size of the sleep (ms).*/
function scrollFullyRight(id, d, del){
    // Fetch the element.
    var el = document.getElementById(id);
    // Scroll the element.
    el.scrollLeft -= d;
    // Have we not finished scrolling yet?
    if(el.scrollLeft > 0) {
        TIMER_SCROLL = setTimeout("scrollFullyRight('"+id+"',"+d+", "+del+");", del);
    }
}