681887 ÷ 13 
Let's see how many times 13 fits into 681887.

Going ahead to step 1:
6 divided by 13 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 13

On to step 2:
If we divide 68 by 13, we get 5 and a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 3 after subtracting 65 from 68.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 13

On to step 3:
When dividing 31 by 13, we get 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 52.0
If we take 26 away from 31, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

Going ahead to step 4:
If we divide 58 by 13, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 524.0
If we subtract 52 from 58, we get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 13

Moving on to step 5:
68 divided by 13 is 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5245.0
If we subtract 65 from 68, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 13

Advancing to step 6:
If we divide 37 by 13, we get 2 and a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 52452.0
Subtract 26 from 37 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 52452.8
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.

On to step 8:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 52452.84
Subtract 52 from 60 to 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.

Moving on to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 52452.846
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.

Going ahead to step 10:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 52452.8461
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.

Moving on to step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 52452.84615
If we take 65 away from 70, we end up 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.

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: 52452.846153
Deduct 39 from 50 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 13:
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: 52452.8461538
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.

Let's proceed to step 14:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 52452.84615384
If we take 52 away from 60, we end up 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.

The final outcome is 52452.84615384, with a leftover of 8e-09.