87681 ÷ 2 = 43840 R1
Alright, let's work through the division of 87681 by 2 step by step.

Step 1:
2 goes into 8 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 8 from 8 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Step 2:
2 goes into 7 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 43
Subtract 6 from 7 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

Step 3:
2 goes into 16 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 438
Subtract 16 from 16 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 2

Step 4:
2 goes into 8 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4384
Subtract 8 from 8 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 2

Step 5:
2 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 43840
Subtract 0 from 1 to get 1.

The final result is 43840 with a remainder of 1.