10774 ÷ 9 = 1197 R1
Let's divide 10774 by 9.

Step 1:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 9

Step 2:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 10 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 3:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 9 from 17 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 9

Step 4:
9 goes into 87 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 119
Subtract 81 from 87 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Step 5:
9 goes into 64 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1197
Subtract 63 from 64 to get 1.

The final result is 1197 with a remainder of 1.