Let's divide 1008624 by 581
Our goal is to divide 1008624 by 581.

Moving on to step 1:
When dividing 1 by 581, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 581

Advancing to step 2:
If we divide 10 by 581, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 581

Going ahead to step 3:
The number 581 fits into 100 0 times, leaving a remainder of 100.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 100 and we're left with 100.
Include the next digit (8) from the dividend after 100, then repeat: 1008 / 581

Step 4:
When dividing 1008 by 581, we get 1 with a remainder of 427.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 427 after subtracting 581 from 1008.
Fetch the next digit (6) from the dividend, attach it to 427 and continue: 4276 / 581

Let's proceed to step 5:
The number 581 fits into 4276 7 times, leaving a remainder of 209.
The next digit of our result is 7. 
Result so far: 17.0
Subtract 4067 from 4276 to get 209.
Grab the next digit (2) from the dividend, add it to 209, then carry on: 2092 / 581

Advancing to step 6:
When dividing 2092 by 581, we get 3 with a remainder of 349.
The next digit of our result is 3. 
Result so far: 173.0
If we subtract 1743 from 2092, we get 349.
Bring next digit (4) of the dividend behind the 349 and repeat the process: 3494 / 581

Let's proceed to step 7:
If we divide 3494 by 581, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 1736.0
The remainder is 8 after subtracting 3486 from 3494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
581 can be fit into 80 0 times, resulting in a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 1736.0
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 9:
The number 581 fits into 800 1 times, leaving a remainder of 219.
Put 1 as the next digit of the answer. 
Result so far: 1736.01
Subtract 581 from 800 to get 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

Going ahead to step 10:
581 goes into 2190 3 times with a remainder of 447.
Record the quotient 3 as the next digit in the result. 
Result so far: 1736.013
If we take 1743 away from 2190, we end up with 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

Let's proceed to step 11:
4470 divided by 581 is 7 with a remainder of 403.
Write down 7 as next digit of the result. 
Result so far: 1736.0137
Subtract 4067 from 4470 to get 403.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4030, and continue the process.

Going ahead to step 12:
If we divide 4030 by 581, we get 6 and a remainder of 544.
The next digit of our result is 6. 
Result so far: 1736.01376
If we take 3486 away from 4030, we end up with 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

On to step 13:
When dividing 5440 by 581, we get 9 with a remainder of 211.
Write down 9 as next digit of the result. 
Result so far: 1736.013769
If we subtract 5229 from 5440, we get 211.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2110, and continue the process.

Step 14:
2110 divided by 581 is 3 with a remainder of 367.
The next digit of our result is 3. 
Result so far: 1736.0137693
Subtracting 1743 from 2110 leaves us with 367.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3670, and continue the process.

Let's proceed to step 15:
3670 divided by 581 is 6 with a remainder of 184.
Write down 6 as next digit of the result. 
Result so far: 1736.01376936
Subtracting 3486 from 3670 leaves us with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

The final result is 1736.01376936 with a remainder of 1.84e-07.