Djanjan

<div class="div1">
	<div class="div2">
		Тут контент
	</div>
</div>

.div1 {
	width: 300px;
	height: 500px;
	overflow: hidden;
}
.div2 {
	overflow-y: scroll;
	max-height: 100%;
	width: 100%;
	padding-right: 45px;
	background: lightpink;
}