To cover or bury something (e.g. to bury in the ground, to bury one's face in hands); to submerge or hide something inside another.
穴を土で埋める。
Fill (bury) the hole with soil.
悲しくて顔を両手に埋めた。
I buried my face in my hands because I was sad.
おもちゃを砂に埋めて隠した。
I buried the toy in the sand to hide it.
To fill something completely; to stuff or cram (e.g. fill a space, pack tightly, fill a schedule).
彼女は棚を本で埋めた。
She filled the shelf with books.
スケジュールを予定で埋めて休む時間がない。
My schedule is filled with appointments and there's no time to rest.
箱の隙間を新聞で埋めた。
I filled the gaps in the box with newspaper.