574 ÷ 3 = 191 R1
Alright, let's work through the division of 574 by 3 step by step.

Step 1:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 5 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Step 2:
3 goes into 27 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 27 from 27 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 3:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 191
Subtract 3 from 4 to get 1.

The final result is 191 with a remainder of 1.