We divide 9573 by 17
We want to divide 9573 by 17.

On to step 1:
17 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 17

On to step 2:
When dividing 95 by 17, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 85 away from 95, we end up with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 17

Advancing to step 3:
The number 17 fits into 107 6 times, leaving a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
If we subtract 102 from 107, we get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 17

Let's proceed to step 4:
When dividing 53 by 17, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 563.0
Subtract 51 from 53 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 5:
20 divided by 17 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 563.1
If we subtract 17 from 20, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 6:
When dividing 30 by 17, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 563.11
Deduct 17 from 30 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 563.11 with a remaining 0.013.