9580 divided by 19 
Let's see how many times 19 fits into 9580.

Moving on to step 1:
19 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 19

Advancing to step 2:
The number 19 fits into 95 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 0 after subtracting 95 from 95.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 19

Step 3:
19 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
If we take 0 away from 8, we end up with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 19

On to step 4:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 504.0
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 5:
40 divided by 19 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 504.2
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 504.21
If we take 19 away from 20, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 19, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 504.21
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 19, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 504.2105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 504.21052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
When dividing 120 by 19, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 504.210526
Subtracting 114 from 120 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
19 goes into 60 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 504.2105263
Deduct 57 from 60 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
If we divide 30 by 19, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 504.21052631
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 504.21052631 with a balance of 1.1e-08.