62499 ÷ 4 = 15624 R3
Alright, let's work through the division of 62499 by 4 step by step.

Step 1:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 6 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 2:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 20 from 22 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 4

Step 3:
4 goes into 24 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 156
Subtract 24 from 24 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 4

Step 4:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 1562
Subtract 8 from 9 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 4

Step 5:
4 goes into 19 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 15624
Subtract 16 from 19 to get 3.

The final result is 15624 with a remainder of 3.