5825 ÷ 9 = 647 R2
We're going to perform division on 5825 with 9 as the divisor.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Step 2:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 58 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 9

Step 3:
9 goes into 42 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 64
Subtract 36 from 42 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 4:
9 goes into 65 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 647
Subtract 63 from 65 to get 2.

The final result is 647 with a remainder of 2.