Alright, let's work through 7003 times 8527 step by step
7003 × 8527 = 8527 × (7003)
+ 8527 × 3 giving us 25581
+ 8527 × 00 resulting in 0
+ 8527 × 000 giving us 0
+ 8527 × 7000 yielding 59689000

= 59714581
