We look at the division of 681098 by 91 
Our goal is to divide 681098 by 91.

Let's proceed to step 1:
91 can be fit into 6 0 times, resulting in 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.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 91

Step 2:
91 goes into 68 0 times with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 68, we end up with 68.
Append the next digit (1) from the dividend to 68 and continue with: 681 / 91

Step 3:
91 can be fit into 681 7 times, resulting in a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 44 after subtracting 637 from 681.
Bring next digit (0) of the dividend behind the 44 and repeat the process: 440 / 91

Let's proceed to step 4:
91 goes into 440 4 times with a remainder of 76.
The next digit of our result is 4. 
Result so far: 74.0
Subtracting 364 from 440 leaves us with 76.
Append the next digit (9) from the dividend to 76 and continue with: 769 / 91

Advancing to step 5:
The number 91 fits into 769 8 times, leaving a remainder of 41.
The next digit of our result is 8. 
Result so far: 748.0
Subtract 728 from 769 to get 41.
Take the next digit (8) from the dividend and append it to 41, then repeat: 418 / 91

Step 6:
If we divide 418 by 91, we get 4 and a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 7484.0
Subtracting 364 from 418 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
When dividing 540 by 91, we get 5 with a remainder of 85.
The number 5 becomes the next digit in our result. 
Result so far: 7484.5
If we subtract 455 from 540, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 8:
The number 91 fits into 850 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 7484.59
If we take 819 away from 850, we end up with 31.
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:
When dividing 310 by 91, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 7484.593
If we subtract 273 from 310, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 10:
If we divide 370 by 91, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 7484.5934
Subtract 364 from 370 to 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.

Step 11:
91 can be fit into 60 0 times, resulting in a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 7484.5934
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
When dividing 600 by 91, we get 6 with a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 7484.593406
Subtract 546 from 600 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 13:
When dividing 540 by 91, we get 5 with a remainder of 85.
Use 5 as the next digit of our solution. 
Result so far: 7484.5934065
Deduct 455 from 540 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Moving on to step 14:
850 divided by 91 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 7484.59340659
Subtracting 819 from 850 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 7484.59340659 with a remainder of 3.1e-08.