659219 divided by 19 
Our goal is to divide 659219 by 19.

Let's proceed to step 1:
19 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 19

On to step 2:
19 can be fit into 65 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 57 from 65 leaves us with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 19

Going ahead to step 3:
When dividing 89 by 19, we get 4 with a remainder of 13.
The next digit of our result is 4. 
Result so far: 34.0
Subtracting 76 from 89 leaves us with 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 19

Step 4:
When dividing 132 by 19, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 346.0
Deduct 114 from 132 and we're left with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 19

Advancing to step 5:
If we divide 181 by 19, we get 9 and a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 3469.0
Subtract 171 from 181 to get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 19

Let's proceed to step 6:
19 goes into 109 5 times with a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 34695.0
If we take 95 away from 109, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 34695.7
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.

Let's proceed to step 8:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 34695.73
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 9:
When dividing 130 by 19, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 34695.736
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
If we divide 160 by 19, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 34695.7368
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 34695.73684
If we take 76 away from 80, we end up 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.

On to step 12:
19 goes into 40 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 34695.736842
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 13:
19 goes into 20 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 34695.7368421
The remainder is 1 after subtracting 19 from 20.
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 14:
10 divided by 19 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 34695.7368421
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.

The quotient of the division is 34695.7368421, and the remainder is 1e-08.