819953 divided by 13 
Our goal is to divide 819953 by 13.

Advancing to step 1:
If we divide 8 by 13, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 13

Going ahead to step 2:
13 can be fit into 81 6 times, resulting in a remainder of 3.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 78 from 81 and we're left with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 13

Advancing to step 3:
39 divided by 13 is 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we take 39 away from 39, we end up with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 13

Let's proceed to step 4:
If we divide 9 by 13, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 630.0
Subtract 0 from 9 to get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 13

Let's proceed to step 5:
13 goes into 95 7 times with a remainder of 4.
The next digit of our result is 7. 
Result so far: 6307.0
Subtracting 91 from 95 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 13

Let's proceed to step 6:
The number 13 fits into 43 3 times, leaving a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 63073.0
If we take 39 away from 43, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 63073.3
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 63073.3
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 63073.307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 63073.3076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 63073.30769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 63073.307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 63073.3076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63073.3076923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 63073.3076923 and a remainder of 1e-08.