25978 ÷ 9 = 2886 R4
Alright, let's work through the division of 25978 by 9 step by step.

Step 1:
9 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Step 2:
9 goes into 25 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 25 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 9

Step 3:
9 goes into 79 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 72 from 79 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 4:
9 goes into 77 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 288
Subtract 72 from 77 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 5:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 2886
Subtract 54 from 58 to get 4.

The final result is 2886 with a remainder of 4.