2821 ÷ 4 = 705 R1
Alright, let's work through the division of 2821 by 4 step by step.

Step 1:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 4

Step 2:
4 goes into 28 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 28 from 28 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 3:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

Step 4:
4 goes into 21 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 705
Subtract 20 from 21 to get 1.

The final result is 705 with a remainder of 1.