677 ÷ 9 = 75 R2
Let's divide 677 by 9.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 2:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 67 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 9

Step 3:
9 goes into 47 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 75
Subtract 45 from 47 to get 2.

The final result is 75 with a remainder of 2.