We look at the division of 501588 by 98 
We're looking to find how many times 98 goes into 501588.

Going ahead to step 1:
98 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 98

Going ahead to step 2:
50 divided by 98 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 98

Step 3:
98 goes into 501 5 times with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 490 from 501 to get 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 98

Going ahead to step 4:
When dividing 115 by 98, we get 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we take 98 away from 115, we end up with 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 98

Step 5:
98 goes into 178 1 times with a remainder of 80.
Put 1 as the next digit of the answer. 
Result so far: 511.0
If we take 98 away from 178, we end up with 80.
Bring next digit (8) of the dividend behind the 80 and repeat the process: 808 / 98

On to step 6:
98 can be fit into 808 8 times, resulting in a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 5118.0
The remainder is 24 after subtracting 784 from 808.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
When dividing 240 by 98, we get 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 5118.2
The remainder is 44 after subtracting 196 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
If we divide 440 by 98, we get 4 and a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 5118.24
The remainder is 48 after subtracting 392 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
If we divide 480 by 98, we get 4 and a remainder of 88.
The number 4 becomes the next digit in our result. 
Result so far: 5118.244
If we subtract 392 from 480, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The final outcome is 5118.244, with a leftover of 0.0088.