We're dividing 681355 by 89 
Our goal is to divide 681355 by 89.

Advancing to step 1:
When dividing 6 by 89, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
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 / 89

On to step 2:
The number 89 fits into 68 0 times, leaving a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 68 and we're left with 68.
Include the next digit (1) from the dividend after 68, then repeat: 681 / 89

On to step 3:
681 divided by 89 is 7 with a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 623 from 681 and we're left with 58.
Take the next digit (3) from the dividend and append it to 58, then repeat: 583 / 89

Advancing to step 4:
When dividing 583 by 89, we get 6 with a remainder of 49.
The next digit of our result is 6. 
Result so far: 76.0
The remainder is 49 after subtracting 534 from 583.
Include the next digit (5) from the dividend after 49, then repeat: 495 / 89

Going ahead to step 5:
89 can be fit into 495 5 times, resulting in a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 765.0
If we take 445 away from 495, we end up with 50.
Take the next digit (5) from the dividend and append it to 50, then repeat: 505 / 89

Moving on to step 6:
When dividing 505 by 89, we get 5 with a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 7655.0
Deduct 445 from 505 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 7:
The number 89 fits into 600 6 times, leaving a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 7655.6
Deduct 534 from 600 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 8:
89 goes into 660 7 times with a remainder of 37.
The next digit of our result is 7. 
Result so far: 7655.67
If we subtract 623 from 660, 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.

On to step 9:
When dividing 370 by 89, we get 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 7655.674
Subtract 356 from 370 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
If we divide 140 by 89, we get 1 and a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 7655.6741
Subtracting 89 from 140 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 11:
When dividing 510 by 89, we get 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 7655.67415
Subtract 445 from 510 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 12:
When dividing 650 by 89, we get 7 with a remainder of 27.
The next digit of our result is 7. 
Result so far: 7655.674157
If we subtract 623 from 650, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 13:
89 can be fit into 270 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 7655.6741573
Subtracting 267 from 270 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
The number 89 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 7655.6741573
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 7655.6741573 and a remainder of 3e-08.