We're dividing 581098 by 21 
Let's see how many times 21 fits into 581098.

Going ahead to step 1:
21 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 21

Let's proceed to step 2:
21 can be fit into 58 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 42 from 58, we get 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 21

Advancing to step 3:
When dividing 161 by 21, we get 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 27.0
If we subtract 147 from 161, we get 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 21

On to step 4:
21 can be fit into 140 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 276.0
If we take 126 away from 140, we end up with 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 21

Advancing to step 5:
149 divided by 21 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 2767.0
Subtracting 147 from 149 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 21

Advancing to step 6:
If we divide 28 by 21, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 27671.0
Deduct 21 from 28 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
When dividing 70 by 21, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 27671.3
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
21 goes into 70 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 27671.33
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 27671.33 with a remainder of 0.007.