We look at the division of 5782877 by 814 
We want to figure out the number of times 5782877 can be divided by 814.

On to step 1:
The number 814 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 814

On to step 2:
The number 814 fits into 57 0 times, leaving a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Include the next digit (8) from the dividend after 57, then repeat: 578 / 814

Step 3:
When dividing 578 by 814, we get 0 with a remainder of 578.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 578, we end up with 578.
Fetch the next digit (2) from the dividend, attach it to 578 and continue: 5782 / 814

Step 4:
814 can be fit into 5782 7 times, resulting in a remainder of 84.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 5698 away from 5782, we end up with 84.
Include the next digit (8) from the dividend after 84, then repeat: 848 / 814

Step 5:
814 goes into 848 1 times with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 71.0
Deduct 814 from 848 and we're left with 34.
Fetch the next digit (7) from the dividend, attach it to 34 and continue: 347 / 814

On to step 6:
The number 814 fits into 347 0 times, leaving a remainder of 347.
Record the quotient 0 as the next digit in the result. 
Result so far: 710.0
Deduct 0 from 347 and we're left with 347.
Take the next digit (7) from the dividend and append it to 347, then repeat: 3477 / 814

Step 7:
3477 divided by 814 is 4 with a remainder of 221.
Record the quotient 4 as the next digit in the result. 
Result so far: 7104.0
The remainder is 221 after subtracting 3256 from 3477.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2210, and continue the process.

Step 8:
The number 814 fits into 2210 2 times, leaving a remainder of 582.
Record the quotient 2 as the next digit in the result. 
Result so far: 7104.2
Subtracting 1628 from 2210 leaves us with 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

Advancing to step 9:
5820 divided by 814 is 7 with a remainder of 122.
The number 7 becomes the next digit in our result. 
Result so far: 7104.27
If we subtract 5698 from 5820, we get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Going ahead to step 10:
When dividing 1220 by 814, we get 1 with a remainder of 406.
Record the quotient 1 as the next digit in the result. 
Result so far: 7104.271
Subtract 814 from 1220 to get 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

On to step 11:
814 goes into 4060 4 times with a remainder of 804.
Use 4 as the next digit of our solution. 
Result so far: 7104.2714
The remainder is 804 after subtracting 3256 from 4060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8040, and continue the process.

Going ahead to step 12:
When dividing 8040 by 814, we get 9 with a remainder of 714.
The next digit of our result is 9. 
Result so far: 7104.27149
If we take 7326 away from 8040, we end up with 714.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7140, and continue the process.

Advancing to step 13:
814 goes into 7140 8 times with a remainder of 628.
The number 8 becomes the next digit in our result. 
Result so far: 7104.271498
Subtracting 6512 from 7140 leaves us with 628.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6280, and continue the process.

Step 14:
The number 814 fits into 6280 7 times, leaving a remainder of 582.
The number 7 becomes the next digit in our result. 
Result so far: 7104.2714987
If we subtract 5698 from 6280, we get 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

Advancing to step 15:
When dividing 5820 by 814, we get 7 with a remainder of 122.
The next digit of our result is 7. 
Result so far: 7104.27149877
Subtract 5698 from 5820 to get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

The final result is 7104.27149877 with a remainder of 1.22e-07.