We look at the division of 826589 by 98 
Our goal is to divide 826589 by 98.

Let's proceed to step 1:
98 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 98

Going ahead to step 2:
98 can be fit into 82 0 times, resulting in a remainder of 82.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 82 after subtracting 0 from 82.
Take the next digit (6) from the dividend and append it to 82, then repeat: 826 / 98

On to step 3:
826 divided by 98 is 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 784 from 826 leaves us with 42.
Include the next digit (5) from the dividend after 42, then repeat: 425 / 98

Advancing to step 4:
If we divide 425 by 98, we get 4 and a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 84.0
Subtract 392 from 425 to get 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 98

Advancing to step 5:
98 can be fit into 338 3 times, resulting in a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 843.0
If we take 294 away from 338, we end up with 44.
Append the next digit (9) from the dividend to 44 and continue with: 449 / 98

Going ahead to step 6:
98 goes into 449 4 times with a remainder of 57.
Use 4 as the next digit of our solution. 
Result so far: 8434.0
Deduct 392 from 449 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 7:
If we divide 570 by 98, we get 5 and a remainder of 80.
Write down 5 as next digit of the result. 
Result so far: 8434.5
Subtract 490 from 570 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 8:
When dividing 800 by 98, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 8434.58
Subtracting 784 from 800 leaves us 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.

Step 9:
98 can be fit into 160 1 times, resulting in a remainder of 62.
The next digit of our result is 1. 
Result so far: 8434.581
The remainder is 62 after subtracting 98 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 10:
If we divide 620 by 98, we get 6 and a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 8434.5816
Subtracting 588 from 620 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
320 divided by 98 is 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 8434.58163
Subtract 294 from 320 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 12:
The number 98 fits into 260 2 times, leaving a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 8434.581632
If we take 196 away from 260, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 13:
The number 98 fits into 640 6 times, leaving a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 8434.5816326
Deduct 588 from 640 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 14:
520 divided by 98 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 8434.58163265
Subtracting 490 from 520 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.

The final result is 8434.58163265 with a remainder of 3e-08.