We divide 6519815 by 634
Our goal is to divide 6519815 by 634.

Step 1:
The number 634 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 634

Advancing to step 2:
If we divide 65 by 634, we get 0 and a remainder of 65.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Append the next digit (1) from the dividend to 65 and continue with: 651 / 634

Advancing to step 3:
651 divided by 634 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 634 from 651 and we're left with 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 634

Going ahead to step 4:
179 divided by 634 is 0 with a remainder of 179.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 179 to get 179.
Append the next digit (8) from the dividend to 179 and continue with: 1798 / 634

Step 5:
634 can be fit into 1798 2 times, resulting in a remainder of 530.
Put 2 as the next digit of the answer. 
Result so far: 102.0
If we subtract 1268 from 1798, we get 530.
Grab the next digit (1) from the dividend, add it to 530, then carry on: 5301 / 634

Let's proceed to step 6:
634 goes into 5301 8 times with a remainder of 229.
The number 8 becomes the next digit in our result. 
Result so far: 1028.0
If we take 5072 away from 5301, we end up with 229.
Append the next digit (5) from the dividend to 229 and continue with: 2295 / 634

Moving on to step 7:
If we divide 2295 by 634, we get 3 and a remainder of 393.
Use 3 as the next digit of our solution. 
Result so far: 10283.0
Subtract 1902 from 2295 to get 393.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Moving on to step 8:
634 goes into 3930 6 times with a remainder of 126.
Use 6 as the next digit of our solution. 
Result so far: 10283.6
If we take 3804 away from 3930, we end up with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Step 9:
The number 634 fits into 1260 1 times, leaving a remainder of 626.
Write down 1 as next digit of the result. 
Result so far: 10283.61
The remainder is 626 after subtracting 634 from 1260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Let's proceed to step 10:
If we divide 6260 by 634, we get 9 and a remainder of 554.
The next digit of our result is 9. 
Result so far: 10283.619
The remainder is 554 after subtracting 5706 from 6260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

Moving on to step 11:
5540 divided by 634 is 8 with a remainder of 468.
The next digit of our result is 8. 
Result so far: 10283.6198
Subtract 5072 from 5540 to get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Advancing to step 12:
If we divide 4680 by 634, we get 7 and a remainder of 242.
The next digit of our result is 7. 
Result so far: 10283.61987
The remainder is 242 after subtracting 4438 from 4680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

Moving on to step 13:
If we divide 2420 by 634, we get 3 and a remainder of 518.
Put 3 as the next digit of the answer. 
Result so far: 10283.619873
Subtract 1902 from 2420 to get 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Let's proceed to step 14:
634 can be fit into 5180 8 times, resulting in a remainder of 108.
The number 8 becomes the next digit in our result. 
Result so far: 10283.6198738
Subtracting 5072 from 5180 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.

Moving on to step 15:
634 goes into 1080 1 times with a remainder of 446.
Record the quotient 1 as the next digit in the result. 
Result so far: 10283.61987381
Deduct 634 from 1080 and we're left with 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

The final outcome is 10283.61987381, with a leftover of 4.46e-07.