6501647 divided by 814 
Our goal is to divide 6501647 by 814.

Let's proceed to step 1:
814 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 814

Advancing to step 2:
814 can be fit into 65 0 times, resulting in a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 65 after subtracting 0 from 65.
Fetch the next digit (0) from the dividend, attach it to 65 and continue: 650 / 814

On to step 3:
814 goes into 650 0 times with a remainder of 650.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 650 leaves us with 650.
Append the next digit (1) from the dividend to 650 and continue with: 6501 / 814

On to step 4:
814 goes into 6501 7 times with a remainder of 803.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 803 after subtracting 5698 from 6501.
Grab the next digit (6) from the dividend, add it to 803, then carry on: 8036 / 814

Let's proceed to step 5:
8036 divided by 814 is 9 with a remainder of 710.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtract 7326 from 8036 to get 710.
Bring next digit (4) of the dividend behind the 710 and repeat the process: 7104 / 814

On to step 6:
7104 divided by 814 is 8 with a remainder of 592.
The next digit of our result is 8. 
Result so far: 798.0
If we take 6512 away from 7104, we end up with 592.
Include the next digit (7) from the dividend after 592, then repeat: 5927 / 814

On to step 7:
The number 814 fits into 5927 7 times, leaving a remainder of 229.
Use 7 as the next digit of our solution. 
Result so far: 7987.0
If we take 5698 away from 5927, we end up with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

On to step 8:
The number 814 fits into 2290 2 times, leaving a remainder of 662.
Use 2 as the next digit of our solution. 
Result so far: 7987.2
The remainder is 662 after subtracting 1628 from 2290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

On to step 9:
The number 814 fits into 6620 8 times, leaving a remainder of 108.
Use 8 as the next digit of our solution. 
Result so far: 7987.28
Subtracting 6512 from 6620 leaves us with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Step 10:
814 can be fit into 1080 1 times, resulting in a remainder of 266.
Record the quotient 1 as the next digit in the result. 
Result so far: 7987.281
Deduct 814 from 1080 and we're left with 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

Moving on to step 11:
2660 divided by 814 is 3 with a remainder of 218.
Put 3 as the next digit of the answer. 
Result so far: 7987.2813
Subtracting 2442 from 2660 leaves us with 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Step 12:
The number 814 fits into 2180 2 times, leaving a remainder of 552.
Record the quotient 2 as the next digit in the result. 
Result so far: 7987.28132
Subtracting 1628 from 2180 leaves us with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Going ahead to step 13:
The number 814 fits into 5520 6 times, leaving a remainder of 636.
Use 6 as the next digit of our solution. 
Result so far: 7987.281326
Subtracting 4884 from 5520 leaves us with 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

Moving on to step 14:
When dividing 6360 by 814, we get 7 with a remainder of 662.
The next digit of our result is 7. 
Result so far: 7987.2813267
Subtract 5698 from 6360 to get 662.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

Moving on to step 15:
The number 814 fits into 6620 8 times, leaving a remainder of 108.
The next digit of our result is 8. 
Result so far: 7987.28132678
Subtracting 6512 from 6620 leaves us with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

The final outcome is 7987.28132678, with a leftover of 1.08e-07.