Alright, let's work through 5171 times 174 step by step
5171 × 174 = 174 × (5171)
+ 174 × 1 which equals 174
+ 174 × 70 that results in 12180
+ 174 × 100 which equals 17400
+ 174 × 5000 yielding 870000

= 899754
