7727 ÷ 2 = 3863 R1
We're going to perform division on 7727 with 2 as the divisor.

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 (7) of the dividend behind the 1 and repeat the process: 17 / 2

Step 2:
2 goes into 17 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 16 from 17 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 2

Step 3:
2 goes into 12 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 386
Subtract 12 from 12 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Step 4:
2 goes into 7 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 3863
Subtract 6 from 7 to get 1.

The final result is 3863 with a remainder of 1.