6509 ÷ 2 = 3254 R1
We're going to perform division on 6509 with 2 as the divisor.

Step 1:
2 goes into 6 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 6 from 6 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Step 2:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 32
Subtract 4 from 5 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 2

Step 3:
2 goes into 10 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 325
Subtract 10 from 10 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 2

Step 4:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 3254
Subtract 8 from 9 to get 1.

The final result is 3254 with a remainder of 1.