19411 ÷ 3 = 6470 R1
Alright, let's work through the division of 19411 by 3 step by step.

Step 1:
3 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 (9) of the dividend behind the 1 and repeat the process: 19 / 3

Step 2:
3 goes into 19 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 18 from 19 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

Step 3:
3 goes into 14 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 64
Subtract 12 from 14 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

Step 4:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 647
Subtract 21 from 21 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: 6470
Subtract 0 from 1 to get 1.

The final result is 6470 with a remainder of 1.