9778 ÷ 4 = 2444 R2
Alright, let's work through the division of 9778 by 4 step by step.

Step 1:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 9 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Step 2:
4 goes into 17 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 16 from 17 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Step 3:
4 goes into 17 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 244
Subtract 16 from 17 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 4:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 2444
Subtract 16 from 18 to get 2.

The final result is 2444 with a remainder of 2.