No problem, we've got 8008 and 5669 to multiply
8008 × 5669 = 5669 × (8008)
+ 5669 × 8 producing 45352
+ 5669 × 00 which equals 0
+ 5669 × 000 that equals 0
+ 5669 × 8000 giving us 45352000

= 45397352
