6673 ÷ 3 = 2224 R1
Alright, let's work through the division of 6673 by 3 step by step.

Step 1:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 6 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Step 2:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 6 from 6 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Step 3:
3 goes into 7 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 222
Subtract 6 from 7 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 4:
3 goes into 13 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 2224
Subtract 12 from 13 to get 1.

The final result is 2224 with a remainder of 1.