Alright, let's work through 2303 times 2326 step by step
2303 × 2326 = 2326 × (2303)
+ 2326 × 3 producing 6978
+ 2326 × 00 yielding 0
+ 2326 × 300 resulting in 697800
+ 2326 × 2000 giving us 4652000

= 5356778
