We look at the division of 779377 by 19 
We want to figure out the number of times 779377 can be divided by 19.

Advancing to step 1:
The number 19 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 19

On to step 2:
19 goes into 77 4 times with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 76 from 77 and we're left with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 19

On to step 3:
19 divided by 19 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 41.0
The remainder is 0 after subtracting 19 from 19.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 19

Step 4:
3 divided by 19 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 410.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 19

Moving on to step 5:
19 can be fit into 37 1 times, resulting in a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 4101.0
Subtract 19 from 37 to get 18.
Append the next digit (7) from the dividend to 18 and continue with: 187 / 19

On to step 6:
19 can be fit into 187 9 times, resulting in a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 41019.0
Subtracting 171 from 187 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.

Step 7:
When dividing 160 by 19, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 41019.8
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 8:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 41019.84
Subtracting 76 from 80 leaves us 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.

Step 9:
19 goes into 40 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 41019.842
If we take 38 away from 40, we end up 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.

On to step 10:
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: 41019.8421
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 11:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 41019.8421
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.

Step 12:
If we divide 100 by 19, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 41019.842105
The remainder is 5 after subtracting 95 from 100.
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 13:
50 divided by 19 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 41019.8421052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 41019.84210526
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.

The final outcome is 41019.84210526, with a leftover of 6e-09.