15827 ÷ 4 = 3956 R3
Alright, let's work through the division of 15827 by 4 step by step.

Step 1:
4 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

Step 2:
4 goes into 15 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 12 from 15 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 4

Step 3:
4 goes into 38 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 39
Subtract 36 from 38 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 4:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 395
Subtract 20 from 22 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 4

Step 5:
4 goes into 27 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 3956
Subtract 24 from 27 to get 3.

The final result is 3956 with a remainder of 3.