38821 ÷ 3 = 12940 R1
Alright, let's work through the division of 38821 by 3 step by step.

Step 1:
3 goes into 3 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 3 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Step 2:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 6 from 8 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Step 3:
3 goes into 28 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 129
Subtract 27 from 28 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 3

Step 4:
3 goes into 12 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 1294
Subtract 12 from 12 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

Step 5:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 12940
Subtract 0 from 1 to get 1.

The final result is 12940 with a remainder of 1.