We look at the division of 10340433 by 814 
Let's see how many times 814 fits into 10340433.

Advancing to step 1:
The number 814 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 814

Moving on to step 2:
If we divide 10 by 814, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 814

Advancing to step 3:
The number 814 fits into 103 0 times, leaving a remainder of 103.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 103 to get 103.
Include the next digit (4) from the dividend after 103, then repeat: 1034 / 814

Going ahead to step 4:
When dividing 1034 by 814, we get 1 with a remainder of 220.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 814 from 1034, we get 220.
Append the next digit (0) from the dividend to 220 and continue with: 2200 / 814

Step 5:
814 goes into 2200 2 times with a remainder of 572.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 572 after subtracting 1628 from 2200.
Include the next digit (4) from the dividend after 572, then repeat: 5724 / 814

On to step 6:
If we divide 5724 by 814, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 127.0
If we take 5698 away from 5724, we end up with 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 814

Moving on to step 7:
814 goes into 263 0 times with a remainder of 263.
The next digit of our result is 0. 
Result so far: 1270.0
Subtract 0 from 263 to get 263.
Take the next digit (3) from the dividend and append it to 263, then repeat: 2633 / 814

Let's proceed to step 8:
2633 divided by 814 is 3 with a remainder of 191.
Record the quotient 3 as the next digit in the result. 
Result so far: 12703.0
The remainder is 191 after subtracting 2442 from 2633.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1910, and continue the process.

Going ahead to step 9:
If we divide 1910 by 814, we get 2 and a remainder of 282.
The next digit of our result is 2. 
Result so far: 12703.2
The remainder is 282 after subtracting 1628 from 1910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

On to step 10:
If we divide 2820 by 814, we get 3 and a remainder of 378.
Record the quotient 3 as the next digit in the result. 
Result so far: 12703.23
If we take 2442 away from 2820, we end up with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

On to step 11:
814 can be fit into 3780 4 times, resulting in a remainder of 524.
The number 4 becomes the next digit in our result. 
Result so far: 12703.234
Subtract 3256 from 3780 to get 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

On to step 12:
When dividing 5240 by 814, we get 6 with a remainder of 356.
Use 6 as the next digit of our solution. 
Result so far: 12703.2346
If we take 4884 away from 5240, we end up with 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Moving on to step 13:
814 goes into 3560 4 times with a remainder of 304.
Write down 4 as next digit of the result. 
Result so far: 12703.23464
Subtract 3256 from 3560 to get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 14:
3040 divided by 814 is 3 with a remainder of 598.
Write down 3 as next digit of the result. 
Result so far: 12703.234643
Deduct 2442 from 3040 and we're left with 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

Advancing to step 15:
814 can be fit into 5980 7 times, resulting in a remainder of 282.
The next digit of our result is 7. 
Result so far: 12703.2346437
Deduct 5698 from 5980 and we're left with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Moving on to step 16:
814 can be fit into 2820 3 times, resulting in a remainder of 378.
Put 3 as the next digit of the answer. 
Result so far: 12703.23464373
Subtract 2442 from 2820 to get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

After the division, we end up with 12703.23464373 and a remainder of 3.78e-07.