We're dividing 669102 by 19 
We want to figure out the number of times 669102 can be divided by 19.

Advancing to step 1:
If we divide 6 by 19, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 19

On to step 2:
The number 19 fits into 66 3 times, leaving a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 57 from 66 leaves us with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 19

On to step 3:
99 divided by 19 is 5 with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 35.0
The remainder is 4 after subtracting 95 from 99.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 19

Advancing to step 4:
19 goes into 41 2 times with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 352.0
Deduct 38 from 41 and we're left with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 19

On to step 5:
19 goes into 30 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 3521.0
Deduct 19 from 30 and we're left with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 19

Step 6:
112 divided by 19 is 5 with a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 35215.0
If we take 95 away from 112, 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.

Advancing to step 7:
If we divide 170 by 19, we get 8 and a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 35215.8
Subtract 152 from 170 to 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.

Let's proceed to step 8:
If we divide 180 by 19, we get 9 and a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 35215.89
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
When dividing 90 by 19, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 35215.894
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.

Going ahead to step 10:
If we divide 140 by 19, we get 7 and a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 35215.8947
If we take 133 away from 140, we end up 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.

Moving on to step 11:
70 divided by 19 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 35215.89473
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 12:
130 divided by 19 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 35215.894736
If we take 114 away from 130, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
When dividing 160 by 19, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 35215.8947368
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 35215.89473684
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 35215.89473684 with a balance of 4e-09.