Alright, let's work through 8632 times 1263 step by step
8632 × 1263 = 1263 × (8632)
+ 1263 × 2 that is equal 2526
+ 1263 × 30 which equals 37890
+ 1263 × 600 resulting in 757800
+ 1263 × 8000 that is equal 10104000

= 10902216
