Let's divide 680636 by 19
Our goal is to divide 680636 by 19.

Advancing to step 1:
19 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 19

Advancing to step 2:
If we divide 68 by 19, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 11 after subtracting 57 from 68.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 19

Advancing to step 3:
110 divided by 19 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 35.0
Subtracting 95 from 110 leaves us with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 19

Advancing to step 4:
If we divide 156 by 19, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 358.0
Subtract 152 from 156 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 19

Moving on to step 5:
19 can be fit into 43 2 times, resulting in a remainder of 5.
The next digit of our result is 2. 
Result so far: 3582.0
The remainder is 5 after subtracting 38 from 43.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 19

Moving on to step 6:
The number 19 fits into 56 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 35822.0
Deduct 38 from 56 and we're left 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.

Advancing to step 7:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The next digit of our result is 9. 
Result so far: 35822.9
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.

Let's proceed to step 8:
19 goes into 90 4 times with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 35822.94
If we take 76 away from 90, 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.

On to step 9:
140 divided by 19 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 35822.947
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.

Moving on to step 10:
If we divide 70 by 19, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 35822.9473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 11:
19 can be fit into 130 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 35822.94736
Subtracting 114 from 130 leaves us 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 12:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 35822.947368
Deduct 152 from 160 and we're left 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.

On to step 13:
80 divided by 19 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 35822.9473684
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 35822.94736842
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.

After the division, we end up with 35822.94736842 and a remainder of 2e-09.