We look at the division of 588259 by 98 
We want to figure out the number of times 588259 can be divided by 98.

Going ahead to step 1:
5 divided by 98 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 98

On to step 2:
The number 98 fits into 58 0 times, leaving a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Grab the next digit (8) from the dividend, add it to 58, then carry on: 588 / 98

Step 3:
The number 98 fits into 588 6 times, leaving a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 588 away from 588, we end up with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 98

Going ahead to step 4:
If we divide 2 by 98, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 60.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 98

Step 5:
If we divide 25 by 98, we get 0 and a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 600.0
If we take 0 away from 25, we end up with 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 98

Going ahead to step 6:
98 goes into 259 2 times with a remainder of 63.
Write down 2 as next digit of the result. 
Result so far: 6002.0
Subtracting 196 from 259 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 7:
If we divide 630 by 98, we get 6 and a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 6002.6
Subtracting 588 from 630 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
When dividing 420 by 98, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 6002.64
Deduct 392 from 420 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
If we divide 280 by 98, we get 2 and a remainder of 84.
Write down 2 as next digit of the result. 
Result so far: 6002.642
Subtract 196 from 280 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 10:
98 goes into 840 8 times with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 6002.6428
Subtracting 784 from 840 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
When dividing 560 by 98, we get 5 with a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 6002.64285
If we take 490 away from 560, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 12:
700 divided by 98 is 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 6002.642857
Subtracting 686 from 700 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
When dividing 140 by 98, we get 1 with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 6002.6428571
If we subtract 98 from 140, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 14:
If we divide 420 by 98, we get 4 and a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 6002.64285714
Subtract 392 from 420 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 6002.64285714 with a balance of 2.8e-08.