71437 ÷ 5 = 14287 R2
Alright, let's work through the division of 71437 by 5 step by step.

Step 1:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 7 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 5

Step 2:
5 goes into 21 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 20 from 21 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 5

Step 3:
5 goes into 14 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 142
Subtract 10 from 14 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 5

Step 4:
5 goes into 43 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 1428
Subtract 40 from 43 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 5

Step 5:
5 goes into 37 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 14287
Subtract 35 from 37 to get 2.

The final result is 14287 with a remainder of 2.