Alright, let's work through 1826 times 9182 step by step
1826 × 9182 = 9182 × (1826)
+ 9182 × 6 yielding 55092
+ 9182 × 20 producing 183640
+ 9182 × 800 giving us 7345600
+ 9182 × 1000 which equals 9182000

= 16766332
