Split it into 2-digit chunks, turn each chunk into its peg word, then link the peg images into one running story.

The peg list only goes to 99, so long numbers are handled by chunking:

1. Break the number into pairs from the left: 314159 → 31 · 41 · 59.
2. Recall each pair's peg: 31 = meat, 41 = rat, 59 = lip.
3. Link them into a single vivid, slightly absurd scene, in order: a slab of meat with a rat on it, nibbling a giant lip.

Recalling the story replays the pegs in sequence, and decoding each peg's consonants gives the digits back exactly. The sillier and more sensory the scene, the stickier it is.