71724 ÷ 5 = 14344 R4
Alright, let's work through the division of 71724 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 (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 3:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 143
Subtract 15 from 17 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 5

Step 4:
5 goes into 22 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 1434
Subtract 20 from 22 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 5

Step 5:
5 goes into 24 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 14344
Subtract 20 from 24 to get 4.

The final result is 14344 with a remainder of 4.