81763 ÷ 2 = 40881 R1
Alright, let's work through the division of 81763 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 (1) of the dividend behind the 0 and repeat the process: 1 / 2

Step 2:
2 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 40
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 2

Step 3:
2 goes into 17 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 408
Subtract 16 from 17 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: 4088
Subtract 16 from 16 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 2

Step 5:
2 goes into 3 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 40881
Subtract 2 from 3 to get 1.

The final result is 40881 with a remainder of 1.