From Middle English screde, a variant of shrede (whence shred), from Old English sċrēad, sċrēade, from Proto-Germanic *skraudō, from *skraudaną, from Proto-Indo-European *(s)ker-. The English word is cognate with Old Frisian skrēd. escrow, scroll, and shred.
From Middle English screde, Early Middle English screda, a variant of shreden, shrede (whence shred), from Old English scrēadian, from Proto-Germanic *skraudaną, see further at etymology 1; later uses are derived from the noun screed.