766331 divided by 13 
Let's see how many times 13 fits into 766331.

On to step 1:
7 divided by 13 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 13

On to step 2:
13 goes into 76 5 times with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 65 from 76 leaves us with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 13

On to step 3:
When dividing 116 by 13, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
If we subtract 104 from 116, we get 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 13

Going ahead to step 4:
13 goes into 123 9 times with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 589.0
Subtracting 117 from 123 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 13

On to step 5:
13 goes into 63 4 times with a remainder of 11.
The next digit of our result is 4. 
Result so far: 5894.0
Subtracting 52 from 63 leaves us with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 13

Going ahead to step 6:
13 can be fit into 111 8 times, resulting in a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 58948.0
If we take 104 away from 111, we end up 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.

On to step 7:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 58948.5
Subtracting 65 from 70 leaves us with 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 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 58948.53
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.

Advancing to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 58948.538
Subtracting 104 from 110 leaves us 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.

On to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 58948.5384
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.

Let's proceed to step 11:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 58948.53846
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.

Advancing to step 12:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 58948.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 58948.5384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 58948.53846153
If we take 39 away from 50, we end up 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.

In conclusion, the division gives 58948.53846153 with a balance of 1.1e-08.