76565 ÷ 2 = 38282 R1
Let's divide 76565 by 2.

Step 1:
2 goes into 7 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 6 from 7 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

Step 2:
2 goes into 16 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 16 from 16 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Step 3:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 382
Subtract 4 from 5 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

Step 4:
2 goes into 16 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 3828
Subtract 16 from 16 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Step 5:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 38282
Subtract 4 from 5 to get 1.

The final result is 38282 with a remainder of 1.