Alright, let's work through 6977 times 6061 step by step
6977 × 6061 = 6061 × (6977)
+ 6061 × 7 yielding 42427
+ 6061 × 70 that is equal 424270
+ 6061 × 900 that equals 5454900
+ 6061 × 6000 that is equal 36366000

= 42287597
