We look at the division of 681887 by 43 
Our goal is to divide 681887 by 43.

Step 1:
43 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 43

Let's proceed to step 2:
When dividing 68 by 43, we get 1 with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 43 from 68 to get 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 43

Advancing to step 3:
43 can be fit into 251 5 times, resulting in a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we subtract 215 from 251, we get 36.
Include the next digit (8) from the dividend after 36, then repeat: 368 / 43

Step 4:
When dividing 368 by 43, we get 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 158.0
If we take 344 away from 368, we end up with 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 43

On to step 5:
When dividing 248 by 43, we get 5 with a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 1585.0
If we subtract 215 from 248, we get 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 43

Advancing to step 6:
The number 43 fits into 337 7 times, leaving a remainder of 36.
Put 7 as the next digit of the answer. 
Result so far: 15857.0
If we subtract 301 from 337, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
360 divided by 43 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 15857.8
If we take 344 away from 360, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
When dividing 160 by 43, we get 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 15857.83
The remainder is 31 after subtracting 129 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 9:
310 divided by 43 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 15857.837
If we take 301 away from 310, 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.

Step 10:
90 divided by 43 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 15857.8372
If we subtract 86 from 90, we get 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:
43 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 15857.8372
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
The number 43 fits into 400 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 15857.837209
Subtracting 387 from 400 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 13:
43 can be fit into 130 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 15857.8372093
Deduct 129 from 130 and we're left 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 14:
The number 43 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15857.8372093
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.

After the division, we end up with 15857.8372093 and a remainder of 1e-08.