We look at the division of 681926 by 13 
Our goal is to divide 681926 by 13.

Going ahead to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 13

Going ahead to step 2:
If we divide 68 by 13, we get 5 and a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 68, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

Going ahead to step 3:
31 divided by 13 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Subtracting 26 from 31 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 13

Let's proceed to step 4:
When dividing 59 by 13, we get 4 with a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 524.0
Subtract 52 from 59 to get 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 13

Moving on to step 5:
13 can be fit into 72 5 times, resulting in a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 5245.0
Deduct 65 from 72 and we're left with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 13

On to step 6:
When dividing 76 by 13, we get 5 with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 52455.0
Deduct 65 from 76 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.

Advancing to step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 52455.8
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
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: 52455.84
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 52455.846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 52455.8461
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.

Let's proceed to step 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 52455.84615
Subtract 65 from 70 to 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.

Advancing 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: 52455.846153
Subtracting 39 from 50 leaves us 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.

On to step 13:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 52455.8461538
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.

On to step 14:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 52455.84615384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 52455.84615384 with a balance of 8e-09.