We divide 10249803 by 635
We want to figure out the number of times 10249803 can be divided by 635.

Advancing to step 1:
The number 635 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 635

On to step 2:
The number 635 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 635

Advancing to step 3:
If we divide 102 by 635, we get 0 and a remainder of 102.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 102 leaves us with 102.
Fetch the next digit (4) from the dividend, attach it to 102 and continue: 1024 / 635

Going ahead to step 4:
If we divide 1024 by 635, we get 1 and a remainder of 389.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 635 from 1024, we get 389.
Include the next digit (9) from the dividend after 389, then repeat: 3899 / 635

Going ahead to step 5:
The number 635 fits into 3899 6 times, leaving a remainder of 89.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 3810 away from 3899, we end up with 89.
Grab the next digit (8) from the dividend, add it to 89, then carry on: 898 / 635

Step 6:
The number 635 fits into 898 1 times, leaving a remainder of 263.
Record the quotient 1 as the next digit in the result. 
Result so far: 161.0
Subtract 635 from 898 to get 263.
Take the next digit (0) from the dividend and append it to 263, then repeat: 2630 / 635

Moving on to step 7:
The number 635 fits into 2630 4 times, leaving a remainder of 90.
Use 4 as the next digit of our solution. 
Result so far: 1614.0
The remainder is 90 after subtracting 2540 from 2630.
Append the next digit (3) from the dividend to 90 and continue with: 903 / 635

Going ahead to step 8:
903 divided by 635 is 1 with a remainder of 268.
Put 1 as the next digit of the answer. 
Result so far: 16141.0
If we take 635 away from 903, we end up with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

On to step 9:
The number 635 fits into 2680 4 times, leaving a remainder of 140.
The next digit of our result is 4. 
Result so far: 16141.4
Subtract 2540 from 2680 to get 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Step 10:
635 goes into 1400 2 times with a remainder of 130.
The number 2 becomes the next digit in our result. 
Result so far: 16141.42
Subtract 1270 from 1400 to get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 11:
635 can be fit into 1300 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 16141.422
Deduct 1270 from 1300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 16141.422, and the remainder is 0.003.