785674 ÷ 19 
Our goal is to divide 785674 by 19.

Going ahead to step 1:
19 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 19

Advancing to step 2:
If we divide 78 by 19, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 76 from 78 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 19

Going ahead to step 3:
The number 19 fits into 25 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 6 after subtracting 19 from 25.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 19

Moving on to step 4:
19 can be fit into 66 3 times, resulting in a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 413.0
Subtract 57 from 66 to get 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 19

Moving on to step 5:
97 divided by 19 is 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 4135.0
Subtracting 95 from 97 leaves us with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 19

Step 6:
19 goes into 24 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 41351.0
If we subtract 19 from 24, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
50 divided by 19 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 41351.2
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.

On to step 8:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 41351.26
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The next digit of our result is 3. 
Result so far: 41351.263
Subtract 57 from 60 to 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.

Let's proceed to step 10:
If we divide 30 by 19, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 41351.2631
If we take 19 away from 30, we end up 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.

Moving on to step 11:
If we divide 110 by 19, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 41351.26315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
150 divided by 19 is 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 41351.263157
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 13:
170 divided by 19 is 8 with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 41351.2631578
If we take 152 away from 170, we end up with 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 14:
180 divided by 19 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 41351.26315789
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.

In conclusion, the division gives 41351.26315789 with a balance of 9e-09.