77738 ÷ 3 = 25912 R2
Alright, let's work through the division of 77738 by 3 step by step.

Step 1:
3 goes into 7 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 7 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 2:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 25
Subtract 15 from 17 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Step 3:
3 goes into 27 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 259
Subtract 27 from 27 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 3

Step 4:
3 goes into 3 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 2591
Subtract 3 from 3 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Step 5:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 25912
Subtract 6 from 8 to get 2.

The final result is 25912 with a remainder of 2.