6519 ÷ 5 = 1303 R4
Alright, let's work through the division of 6519 by 5 step by step.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 5

Step 2:
5 goes into 15 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 15 from 15 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 5

Step 3:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 130
Subtract 0 from 1 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 5

Step 4:
5 goes into 19 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 1303
Subtract 15 from 19 to get 4.

The final result is 1303 with a remainder of 4.