679235 ÷ 19 
We want to divide 679235 by 19.

Going ahead to step 1:
6 divided by 19 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 19

Let's proceed to step 2:
If we divide 67 by 19, we get 3 and a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 57 from 67 and we're left with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 19

Moving on to step 3:
If we divide 109 by 19, we get 5 and a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
The remainder is 14 after subtracting 95 from 109.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 19

Moving on to step 4:
19 can be fit into 142 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 357.0
Subtract 133 from 142 to get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 19

Moving on to step 5:
The number 19 fits into 93 4 times, leaving a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 3574.0
The remainder is 17 after subtracting 76 from 93.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 19

On to step 6:
19 goes into 175 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 35749.0
The remainder is 4 after subtracting 171 from 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 35749.2
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.

Moving on to step 8:
If we divide 20 by 19, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 35749.21
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.

On to step 9:
10 divided by 19 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 35749.21
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35749.2105
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
When dividing 50 by 19, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 35749.21052
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
When dividing 120 by 19, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 35749.210526
Subtracting 114 from 120 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
60 divided by 19 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 35749.2105263
Deduct 57 from 60 and we're left 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.

Step 14:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 35749.21052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 35749.21052631, with a leftover of 1.1e-08.