9739 ÷ 2 = 4869 R1
Let's divide 9739 by 2.

Step 1:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 8 from 9 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: 48
Subtract 16 from 17 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 3:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 486
Subtract 12 from 13 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 2

Step 4:
2 goes into 19 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 4869
Subtract 18 from 19 to get 1.

The final result is 4869 with a remainder of 1.