We look at the division of 86969101 by 681 
We want to divide 86969101 by 681.

Moving on to step 1:
681 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 681

Let's proceed to step 2:
The number 681 fits into 86 0 times, leaving a remainder of 86.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 86 and we're left with 86.
Grab the next digit (9) from the dividend, add it to 86, then carry on: 869 / 681

On to step 3:
681 can be fit into 869 1 times, resulting in a remainder of 188.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 681 from 869, we get 188.
Bring next digit (6) of the dividend behind the 188 and repeat the process: 1886 / 681

Step 4:
If we divide 1886 by 681, we get 2 and a remainder of 524.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 1362 from 1886 leaves us with 524.
Include the next digit (9) from the dividend after 524, then repeat: 5249 / 681

Step 5:
The number 681 fits into 5249 7 times, leaving a remainder of 482.
The next digit of our result is 7. 
Result so far: 127.0
Subtracting 4767 from 5249 leaves us with 482.
Append the next digit (1) from the dividend to 482 and continue with: 4821 / 681

Let's proceed to step 6:
When dividing 4821 by 681, we get 7 with a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 1277.0
The remainder is 54 after subtracting 4767 from 4821.
Take the next digit (0) from the dividend and append it to 54, then repeat: 540 / 681

Step 7:
When dividing 540 by 681, we get 0 with a remainder of 540.
Write down 0 as next digit of the result. 
Result so far: 12770.0
If we subtract 0 from 540, we get 540.
Bring next digit (1) of the dividend behind the 540 and repeat the process: 5401 / 681

On to step 8:
5401 divided by 681 is 7 with a remainder of 634.
Write down 7 as next digit of the result. 
Result so far: 127707.0
The remainder is 634 after subtracting 4767 from 5401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6340, and continue the process.

Advancing to step 9:
681 goes into 6340 9 times with a remainder of 211.
The next digit of our result is 9. 
Result so far: 127707.9
Deduct 6129 from 6340 and we're left with 211.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2110, and continue the process.

Advancing to step 10:
The number 681 fits into 2110 3 times, leaving a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 127707.93
If we take 2043 away from 2110, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 11:
670 divided by 681 is 0 with a remainder of 670.
Use 0 as the next digit of our solution. 
Result so far: 127707.93
Subtracting 0 from 670 leaves us with 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6700, and continue the process.

Going ahead to step 12:
When dividing 6700 by 681, we get 9 with a remainder of 571.
Record the quotient 9 as the next digit in the result. 
Result so far: 127707.9309
Deduct 6129 from 6700 and we're left with 571.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5710, and continue the process.

Moving on to step 13:
681 can be fit into 5710 8 times, resulting in a remainder of 262.
Use 8 as the next digit of our solution. 
Result so far: 127707.93098
Subtract 5448 from 5710 to get 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Going ahead to step 14:
The number 681 fits into 2620 3 times, leaving a remainder of 577.
Use 3 as the next digit of our solution. 
Result so far: 127707.930983
The remainder is 577 after subtracting 2043 from 2620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5770, and continue the process.

Step 15:
5770 divided by 681 is 8 with a remainder of 322.
Use 8 as the next digit of our solution. 
Result so far: 127707.9309838
The remainder is 322 after subtracting 5448 from 5770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Let's proceed to step 16:
3220 divided by 681 is 4 with a remainder of 496.
Record the quotient 4 as the next digit in the result. 
Result so far: 127707.93098384
Deduct 2724 from 3220 and we're left with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

The final result is 127707.93098384 with a remainder of 4.96e-07.