We look at the division of 675586 by 19 
We're looking to find how many times 19 goes into 675586.

On to step 1:
6 divided by 19 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 19

On to step 2:
67 divided by 19 is 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 57 away from 67, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 19

Step 3:
19 can be fit into 105 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we take 95 away from 105, we end up with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 19

Advancing to step 4:
When dividing 105 by 19, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 355.0
If we take 95 away from 105, we end up with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 19

Advancing to step 5:
The number 19 fits into 108 5 times, leaving a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 3555.0
If we take 95 away from 108, we end up with 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 19

On to step 6:
19 can be fit into 136 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 35557.0
If we subtract 133 from 136, 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 7:
If we divide 30 by 19, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 35557.1
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.

Moving on to step 8:
When dividing 110 by 19, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 35557.15
Deduct 95 from 110 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 35557.157
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
170 divided by 19 is 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 35557.1578
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
19 goes into 180 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 35557.15789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
If we divide 90 by 19, we get 4 and a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 35557.157894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
When dividing 140 by 19, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 35557.1578947
Subtracting 133 from 140 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
19 goes into 70 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 35557.15789473
Deduct 57 from 70 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.

The final outcome is 35557.15789473, with a leftover of 1.3e-08.