7319 ÷ 3 = 2439 R2
Alright, let's work through the division of 7319 by 3 step by step.

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

Step 2:
3 goes into 13 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 12 from 13 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Step 3:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 243
Subtract 9 from 11 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 4:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 2439
Subtract 27 from 29 to get 2.

The final result is 2439 with a remainder of 2.