Let's divide 820623 by 13
We're looking to find how many times 13 goes into 820623.

Going ahead to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 13

Let's proceed to step 2:
If we divide 82 by 13, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 78 from 82, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Going ahead to step 3:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 63.0
Subtracting 39 from 40 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 13

Moving on to step 4:
The number 13 fits into 16 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 631.0
If we subtract 13 from 16, we get 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 13

Going ahead to step 5:
The number 13 fits into 32 2 times, leaving a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 6312.0
Subtract 26 from 32 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 13

On to step 6:
When dividing 63 by 13, we get 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 63124.0
Deduct 52 from 63 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 63124.8
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 63124.84
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 63124.846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 63124.8461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 63124.84615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 63124.846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 13:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 63124.8461538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 63124.84615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 63124.84615384 with a remainder of 8e-09.