We divide 10305435 by 820
We want to divide 10305435 by 820.

Advancing to step 1:
820 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 820

Let's proceed to step 2:
10 divided by 820 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 820

On to step 3:
The number 820 fits into 103 0 times, leaving a remainder of 103.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 103 after subtracting 0 from 103.
Append the next digit (0) from the dividend to 103 and continue with: 1030 / 820

Let's proceed to step 4:
If we divide 1030 by 820, we get 1 and a remainder of 210.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 820 from 1030 to get 210.
Append the next digit (5) from the dividend to 210 and continue with: 2105 / 820

Advancing to step 5:
820 goes into 2105 2 times with a remainder of 465.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 1640 from 2105 leaves us with 465.
Fetch the next digit (4) from the dividend, attach it to 465 and continue: 4654 / 820

Step 6:
If we divide 4654 by 820, we get 5 and a remainder of 554.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
If we take 4100 away from 4654, we end up with 554.
Fetch the next digit (3) from the dividend, attach it to 554 and continue: 5543 / 820

Let's proceed to step 7:
5543 divided by 820 is 6 with a remainder of 623.
Put 6 as the next digit of the answer. 
Result so far: 1256.0
Deduct 4920 from 5543 and we're left with 623.
Include the next digit (5) from the dividend after 623, then repeat: 6235 / 820

Going ahead to step 8:
When dividing 6235 by 820, we get 7 with a remainder of 495.
Put 7 as the next digit of the answer. 
Result so far: 12567.0
If we subtract 5740 from 6235, we get 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Advancing to step 9:
If we divide 4950 by 820, we get 6 and a remainder of 30.
The next digit of our result is 6. 
Result so far: 12567.6
If we subtract 4920 from 4950, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
820 goes into 300 0 times with a remainder of 300.
Use 0 as the next digit of our solution. 
Result so far: 12567.6
Subtracting 0 from 300 leaves us with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Advancing to step 11:
The number 820 fits into 3000 3 times, leaving a remainder of 540.
The next digit of our result is 3. 
Result so far: 12567.603
Deduct 2460 from 3000 and we're left with 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

Step 12:
820 goes into 5400 6 times with a remainder of 480.
Record the quotient 6 as the next digit in the result. 
Result so far: 12567.6036
Subtracting 4920 from 5400 leaves us with 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Step 13:
The number 820 fits into 4800 5 times, leaving a remainder of 700.
Record the quotient 5 as the next digit in the result. 
Result so far: 12567.60365
If we take 4100 away from 4800, we end up with 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

Step 14:
The number 820 fits into 7000 8 times, leaving a remainder of 440.
The number 8 becomes the next digit in our result. 
Result so far: 12567.603658
Subtract 6560 from 7000 to get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Going ahead to step 15:
820 can be fit into 4400 5 times, resulting in a remainder of 300.
Record the quotient 5 as the next digit in the result. 
Result so far: 12567.6036585
Subtracting 4100 from 4400 leaves us with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Step 16:
820 can be fit into 3000 3 times, resulting in a remainder of 540.
Write down 3 as next digit of the result. 
Result so far: 12567.60365853
Deduct 2460 from 3000 and we're left with 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

After the division, we end up with 12567.60365853 and a remainder of 5.4e-07.