~させてもらう・~させていただく
Do something with another person’s permission or consideration
You’ll be able to present your own action as something permitted or graciously allowed by others, including a more humble form.

ここで写真を撮らせてもらってもいいですか。
koko de shashin o torasete moratte mo ii desu ka.
What do you think this sentence means?
May I take photos here?
Do an action with permission or consideration
~させてもらう and humble ~させていただく express that you are doing an action with the permission or kind indulgence of someone else ("allow me to...", "I will take the liberty of...").
ちょっと電話を使わせてもらってもいい?
chotto denwa o tsukawasete moratte mo ii?
Can I use your phone for a moment?
今日はお先に帰らせていただきます。
kyou wa osaki ni kaerasete itadakimasu.
If you will excuse me, I will go home before you today.
Attach もらう or いただく to the causative te-form
Put the verb into its causative te-form (~させて) and attach もらう (neutral) or いただく (humble polite). It frames your own action as being graciously permitted by the other party.
自己紹介をさせていただきます。
jikoshoukai o sasete itadakimasu.
Please allow me to introduce myself.
~てもらう vs ~させてもらう
~てもらう means someone else does the action for you. ~させてもらう means you do the action yourself, because someone lets you.
~てもらう, have someone do it
友達に写真を撮ってもらった。
tomodachi ni shashin o totte moratta.
I had my friend take a photo (of me).
The friend takes the photo.
~させてもらう, be allowed to do it
友達に写真を撮らせてもらった。
tomodachi ni shashin o torasete moratta.
My friend let me take a photo.
I take the photo, with permission.
レポートを印刷したかったので、友達の家のプリンターを使わせてもらった。
repooto o insatsu shitakatta node, tomodachi no ie no purintaa o tsukawasete moratta.
I wanted to print my report, so my friend let me use the printer at their house.
急に雨が強くなったので、店の入り口で少し雨宿りさせてもらった。
kyuu ni ame ga tsuyoku natta node, mise no iriguchi de sukoshi amayadori sasete moratta.
The rain suddenly got heavy, so the shop let me shelter from it at the entrance for a while.
本日は、私が司会を務めさせていただきます。
honjitsu wa, watashi ga shikai o tsutomesasete itadakimasu.
Today, I will be serving as the host.
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