We look at the division of 677837 by 19 
Our goal is to divide 677837 by 19.

Moving on to step 1:
19 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 19

On to step 2:
The number 19 fits into 67 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 57 away from 67, we end up with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 19

Step 3:
19 can be fit into 107 5 times, resulting in a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we subtract 95 from 107, we get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 19

Moving on to step 4:
When dividing 128 by 19, we get 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 356.0
If we take 114 away from 128, we end up with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 19

Advancing to step 5:
143 divided by 19 is 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 3567.0
Subtracting 133 from 143 leaves us with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 19

Moving on to step 6:
19 goes into 107 5 times with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 35675.0
Subtract 95 from 107 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.

Step 7:
If we divide 120 by 19, we get 6 and a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 35675.6
Subtract 114 from 120 to 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.

Moving on to step 8:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 35675.63
If we take 57 away from 60, we end up 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.

On to step 9:
When dividing 30 by 19, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 35675.631
Deduct 19 from 30 and we're left 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.

On to step 10:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 35675.6315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 11:
If we divide 150 by 19, we get 7 and a remainder of 17.
The next digit of our result is 7. 
Result so far: 35675.63157
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 12:
When dividing 170 by 19, we get 8 with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 35675.631578
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.

Moving on to step 13:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 35675.6315789
Deduct 171 from 180 and we're left 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.

Going ahead to step 14:
90 divided by 19 is 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 35675.63157894
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.

In conclusion, the division gives 35675.63157894 with a balance of 1.4e-08.