10645 ÷ 9 = 1182 R7
Let's divide 10645 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 (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 3:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 9 from 16 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 9

Step 4:
9 goes into 74 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 118
Subtract 72 from 74 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Step 5:
9 goes into 25 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 1182
Subtract 18 from 25 to get 7.

The final result is 1182 with a remainder of 7.