Alright, let's work through 5892 times 1178 step by step
5892 × 1178 = 1178 × (5892)
+ 1178 × 2 giving us 2356
+ 1178 × 90 which equals 106020
+ 1178 × 800 producing 942400
+ 1178 × 5000 what gives us 5890000

= 6940776
