We look at the division of 8300103 by 829 
We want to divide 8300103 by 829.

Step 1:
The number 829 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 829

On to step 2:
829 goes into 83 0 times with a remainder of 83.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 83 to get 83.
Fetch the next digit (0) from the dividend, attach it to 83 and continue: 830 / 829

Moving on to step 3:
829 can be fit into 830 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 829 from 830.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 829

Step 4:
The number 829 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 829

On to step 5:
101 divided by 829 is 0 with a remainder of 101.
Use 0 as the next digit of our solution. 
Result so far: 100.0
Deduct 0 from 101 and we're left with 101.
Include the next digit (0) from the dividend after 101, then repeat: 1010 / 829

Going ahead to step 6:
829 goes into 1010 1 times with a remainder of 181.
The number 1 becomes the next digit in our result. 
Result so far: 1001.0
Deduct 829 from 1010 and we're left with 181.
Take the next digit (3) from the dividend and append it to 181, then repeat: 1813 / 829

Let's proceed to step 7:
1813 divided by 829 is 2 with a remainder of 155.
Use 2 as the next digit of our solution. 
Result so far: 10012.0
The remainder is 155 after subtracting 1658 from 1813.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Advancing to step 8:
1550 divided by 829 is 1 with a remainder of 721.
Use 1 as the next digit of our solution. 
Result so far: 10012.1
The remainder is 721 after subtracting 829 from 1550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7210, and continue the process.

Advancing to step 9:
When dividing 7210 by 829, we get 8 with a remainder of 578.
The next digit of our result is 8. 
Result so far: 10012.18
If we take 6632 away from 7210, we end up with 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Moving on to step 10:
The number 829 fits into 5780 6 times, leaving a remainder of 806.
The next digit of our result is 6. 
Result so far: 10012.186
Subtracting 4974 from 5780 leaves us with 806.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8060, and continue the process.

Moving on to step 11:
If we divide 8060 by 829, we get 9 and a remainder of 599.
The next digit of our result is 9. 
Result so far: 10012.1869
If we take 7461 away from 8060, we end up with 599.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5990, and continue the process.

On to step 12:
5990 divided by 829 is 7 with a remainder of 187.
Write down 7 as next digit of the result. 
Result so far: 10012.18697
Subtracting 5803 from 5990 leaves us with 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Going ahead to step 13:
The number 829 fits into 1870 2 times, leaving a remainder of 212.
Write down 2 as next digit of the result. 
Result so far: 10012.186972
If we take 1658 away from 1870, we end up with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Let's proceed to step 14:
If we divide 2120 by 829, we get 2 and a remainder of 462.
Write down 2 as next digit of the result. 
Result so far: 10012.1869722
Deduct 1658 from 2120 and we're left with 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4620, and continue the process.

Our division results in 10012.1869722 with a remaining 4.62e-06.