We look at the division of 762841 by 13 
We want to divide 762841 by 13.

Step 1:
13 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 13

Moving on to step 2:
13 goes into 76 5 times with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 11 after subtracting 65 from 76.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 13

Let's proceed to step 3:
112 divided by 13 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 58.0
Subtract 104 from 112 to get 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 13

Let's proceed to step 4:
When dividing 88 by 13, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 586.0
If we subtract 78 from 88, we get 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 13

Advancing to step 5:
13 can be fit into 104 8 times, resulting in a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 5868.0
If we take 104 away from 104, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 13

On to step 6:
13 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 58680.0
If we take 0 away from 1, 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.

Going ahead to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 58680.0
If we take 0 away from 10, we end up 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.

Moving on to step 8:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 58680.07
Subtracting 91 from 100 leaves us 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 9:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 58680.076
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.

On to step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 58680.0769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 11:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 58680.07692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 58680.076923
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.

Advancing to step 13:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 58680.076923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 58680.07692307
If we take 91 away from 100, we end up 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.

In conclusion, the division gives 58680.07692307 with a balance of 9e-09.