diff --git a/tar/asm/disassemble.go b/tar/asm/disassemble.go
index 54ef23a..009b3f5 100644
--- a/tar/asm/disassemble.go
+++ b/tar/asm/disassemble.go
@@ -2,7 +2,6 @@ package asm
 
 import (
 	"io"
-	"io/ioutil"
 
 	"github.com/vbatts/tar-split/archive/tar"
 	"github.com/vbatts/tar-split/tar/storage"
@@ -119,20 +118,34 @@ func NewInputTarStream(r io.Reader, p storage.Packer, fp storage.FilePutter) (io
 			}
 		}
 
-		// it is allowable, and not uncommon that there is further padding on the
-		// end of an archive, apart from the expected 1024 null bytes.
-		remainder, err := ioutil.ReadAll(outputRdr)
-		if err != nil && err != io.EOF {
-			pW.CloseWithError(err)
-			return
-		}
-		_, err = p.AddEntry(storage.Entry{
-			Type:    storage.SegmentType,
-			Payload: remainder,
-		})
-		if err != nil {
-			pW.CloseWithError(err)
-			return
+		// It is allowable, and not uncommon that there is further padding on
+		// the end of an archive, apart from the expected 1024 null bytes. We
+		// do this in chunks rather than in one go to avoid cases where a
+		// maliciously crafted tar file tries to trick us into reading many GBs
+		// into memory.
+		const paddingChunkSize = 1024 * 1024
+		var paddingChunk [paddingChunkSize]byte
+		for {
+			var isEOF bool
+			n, err := outputRdr.Read(paddingChunk[:])
+			if err != nil {
+				if err != io.EOF {
+					pW.CloseWithError(err)
+					return
+				}
+				isEOF = true
+			}
+			_, err = p.AddEntry(storage.Entry{
+				Type:    storage.SegmentType,
+				Payload: paddingChunk[:n],
+			})
+			if err != nil {
+				pW.CloseWithError(err)
+				return
+			}
+			if isEOF {
+				break
+			}
 		}
 		pW.Close()
 	}()