We look at the division of 19585108 by 419 
We want to figure out the number of times 19585108 can be divided by 419.

Advancing to step 1:
When dividing 1 by 419, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 419

Moving on to step 2:
419 goes into 19 0 times with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 19 to get 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 419

Step 3:
When dividing 195 by 419, we get 0 with a remainder of 195.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 195, we get 195.
Bring next digit (8) of the dividend behind the 195 and repeat the process: 1958 / 419

Let's proceed to step 4:
When dividing 1958 by 419, we get 4 with a remainder of 282.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 1676 from 1958 leaves us with 282.
Grab the next digit (5) from the dividend, add it to 282, then carry on: 2825 / 419

Going ahead to step 5:
419 goes into 2825 6 times with a remainder of 311.
The next digit of our result is 6. 
Result so far: 46.0
If we take 2514 away from 2825, we end up with 311.
Grab the next digit (1) from the dividend, add it to 311, then carry on: 3111 / 419

Step 6:
If we divide 3111 by 419, we get 7 and a remainder of 178.
Put 7 as the next digit of the answer. 
Result so far: 467.0
Subtracting 2933 from 3111 leaves us with 178.
Grab the next digit (0) from the dividend, add it to 178, then carry on: 1780 / 419

On to step 7:
419 can be fit into 1780 4 times, resulting in a remainder of 104.
Record the quotient 4 as the next digit in the result. 
Result so far: 4674.0
Subtract 1676 from 1780 to get 104.
Fetch the next digit (8) from the dividend, attach it to 104 and continue: 1048 / 419

Advancing to step 8:
When dividing 1048 by 419, we get 2 with a remainder of 210.
Use 2 as the next digit of our solution. 
Result so far: 46742.0
Subtracting 838 from 1048 leaves us with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Advancing to step 9:
2100 divided by 419 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 46742.5
If we subtract 2095 from 2100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
419 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 46742.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
419 goes into 500 1 times with a remainder of 81.
The next digit of our result is 1. 
Result so far: 46742.501
The remainder is 81 after subtracting 419 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Moving on to step 12:
The number 419 fits into 810 1 times, leaving a remainder of 391.
Use 1 as the next digit of our solution. 
Result so far: 46742.5011
Subtracting 419 from 810 leaves us with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Our division results in 46742.5011 with a remaining 0.00391.