19577 ÷ 9 = 2175 R2
Let's divide 19577 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 (9) of the dividend behind the 1 and repeat the process: 19 / 9

Step 2:
9 goes into 19 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 19 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Step 3:
9 goes into 15 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 9 from 15 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 4:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 217
Subtract 63 from 67 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 9

Step 5:
9 goes into 47 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 2175
Subtract 45 from 47 to get 2.

The final result is 2175 with a remainder of 2.