We look at the division of 8174199 by 778 
We want to divide 8174199 by 778.

Moving on to step 1:
When dividing 8 by 778, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 778

Moving on to step 2:
778 goes into 81 0 times with a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 81 and we're left with 81.
Take the next digit (7) from the dividend and append it to 81, then repeat: 817 / 778

Going ahead to step 3:
When dividing 817 by 778, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 778 from 817 leaves us with 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 778

Moving on to step 4:
394 divided by 778 is 0 with a remainder of 394.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 394 to get 394.
Bring next digit (1) of the dividend behind the 394 and repeat the process: 3941 / 778

On to step 5:
778 goes into 3941 5 times with a remainder of 51.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Subtract 3890 from 3941 to get 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 778

Step 6:
519 divided by 778 is 0 with a remainder of 519.
The next digit of our result is 0. 
Result so far: 1050.0
If we take 0 away from 519, we end up with 519.
Append the next digit (9) from the dividend to 519 and continue with: 5199 / 778

Moving on to step 7:
778 can be fit into 5199 6 times, resulting in a remainder of 531.
The number 6 becomes the next digit in our result. 
Result so far: 10506.0
Deduct 4668 from 5199 and we're left with 531.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5310, and continue the process.

Step 8:
778 can be fit into 5310 6 times, resulting in a remainder of 642.
Record the quotient 6 as the next digit in the result. 
Result so far: 10506.6
If we take 4668 away from 5310, we end up with 642.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Moving on to step 9:
6420 divided by 778 is 8 with a remainder of 196.
Record the quotient 8 as the next digit in the result. 
Result so far: 10506.68
Subtract 6224 from 6420 to get 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 10:
If we divide 1960 by 778, we get 2 and a remainder of 404.
The number 2 becomes the next digit in our result. 
Result so far: 10506.682
Subtract 1556 from 1960 to get 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Let's proceed to step 11:
4040 divided by 778 is 5 with a remainder of 150.
The number 5 becomes the next digit in our result. 
Result so far: 10506.6825
If we subtract 3890 from 4040, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Advancing to step 12:
1500 divided by 778 is 1 with a remainder of 722.
Use 1 as the next digit of our solution. 
Result so far: 10506.68251
If we take 778 away from 1500, we end up with 722.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7220, and continue the process.

Advancing to step 13:
7220 divided by 778 is 9 with a remainder of 218.
The next digit of our result is 9. 
Result so far: 10506.682519
The remainder is 218 after subtracting 7002 from 7220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Advancing to step 14:
2180 divided by 778 is 2 with a remainder of 624.
The next digit of our result is 2. 
Result so far: 10506.6825192
Subtract 1556 from 2180 to get 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

Advancing to step 15:
The number 778 fits into 6240 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 10506.68251928
Subtract 6224 from 6240 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 10506.68251928 with a remainder of 1.6e-08.