We're dividing 665953 by 19 
Let's see how many times 19 fits into 665953.

Step 1:
6 divided by 19 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 19

Step 2:
66 divided by 19 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 57 away from 66, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 19

Step 3:
19 can be fit into 95 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Deduct 95 from 95 and we're left with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 19

Advancing to step 4:
When dividing 9 by 19, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 350.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 19

Advancing to step 5:
When dividing 95 by 19, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 3505.0
Deduct 95 from 95 and we're left with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 19

Advancing to step 6:
When dividing 3 by 19, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 35050.0
If we take 0 away from 3, we end up 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.

Going ahead to step 7:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 35050.1
Subtracting 19 from 30 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
19 goes into 110 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 35050.15
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
When dividing 150 by 19, we get 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 35050.157
If we take 133 away from 150, we end up 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.

Let's proceed to step 10:
The number 19 fits into 170 8 times, leaving a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 35050.1578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 35050.15789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
If we divide 90 by 19, we get 4 and a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 35050.157894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
140 divided by 19 is 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 35050.1578947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
70 divided by 19 is 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 35050.15789473
The remainder is 13 after subtracting 57 from 70.
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 35050.15789473 with a remaining 1.3e-08.