77241 ÷ 2 = 38620 R1
Alright, let's work through the division of 77241 by 2 step by step.

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 (4) of the dividend behind the 0 and repeat the process: 4 / 2

Step 4:
2 goes into 4 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 3862
Subtract 4 from 4 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: 38620
Subtract 0 from 1 to get 1.

The final result is 38620 with a remainder of 1.