We divide 691779 by 13
We want to divide 691779 by 13.

Moving on to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 13

Advancing to step 2:
When dividing 69 by 13, we get 5 with a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 65 away from 69, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 13

Going ahead to step 3:
41 divided by 13 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 53.0
The remainder is 2 after subtracting 39 from 41.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 13

Let's proceed to step 4:
When dividing 27 by 13, we get 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 532.0
Subtracting 26 from 27 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 13

Moving on to step 5:
The number 13 fits into 17 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 5321.0
Subtract 13 from 17 to get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 13

Going ahead to step 6:
If we divide 49 by 13, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 53213.0
If we subtract 39 from 49, we 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.

Moving on to step 7:
13 goes into 100 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 53213.7
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.

Let's proceed to step 8:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 53213.76
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 53213.769
If we subtract 117 from 120, we 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 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 53213.7692
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.

Going ahead to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 53213.76923
The remainder is 1 after subtracting 39 from 40.
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 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 53213.76923
If we subtract 0 from 10, we 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.

Advancing to step 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 53213.7692307
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.

Advancing to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 53213.76923076
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.

In conclusion, the division gives 53213.76923076 with a balance of 1.2e-08.