\(5(871)=5*871\)
\(\text{Set up the long multiplication.}\)
\(\text{Calculate 5 x 1, which is 5.}\)
\(\text{Calculate 5 x 7, which is 35.}\)
\(\text{Since 35 is two-digit, we carry the first digit 3 to the next column.}\)
\(\text{Bring down the carry digit of 3.}\)
\(\text{Calculate 5 x 8, which is 40.}\)
\(\text{Since 40 is two-digit, we carry the first digit 4 to the next column.}\)
\(\text{Bring down the carry digit of 4.}\)
\(\text{Calculate 5 + 350 + 4000, which is 4355}\)
\(\text{Therefore, 5 x 871 = 4355.}\)
