We look at the division of 14097599 by 586 
Let's see how many times 586 fits into 14097599.

Going ahead to step 1:
586 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 586

Moving on to step 2:
586 can be fit into 14 0 times, resulting in a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 586

Let's proceed to step 3:
140 divided by 586 is 0 with a remainder of 140.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 140 to get 140.
Fetch the next digit (9) from the dividend, attach it to 140 and continue: 1409 / 586

Let's proceed to step 4:
586 can be fit into 1409 2 times, resulting in a remainder of 237.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 1172 from 1409 leaves us with 237.
Include the next digit (7) from the dividend after 237, then repeat: 2377 / 586

On to step 5:
2377 divided by 586 is 4 with a remainder of 33.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
Subtract 2344 from 2377 to get 33.
Fetch the next digit (5) from the dividend, attach it to 33 and continue: 335 / 586

On to step 6:
If we divide 335 by 586, we get 0 and a remainder of 335.
The next digit of our result is 0. 
Result so far: 240.0
Subtract 0 from 335 to get 335.
Append the next digit (9) from the dividend to 335 and continue with: 3359 / 586

Let's proceed to step 7:
586 goes into 3359 5 times with a remainder of 429.
Use 5 as the next digit of our solution. 
Result so far: 2405.0
Subtracting 2930 from 3359 leaves us with 429.
Fetch the next digit (9) from the dividend, attach it to 429 and continue: 4299 / 586

Going ahead to step 8:
If we divide 4299 by 586, we get 7 and a remainder of 197.
Record the quotient 7 as the next digit in the result. 
Result so far: 24057.0
Subtract 4102 from 4299 to get 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Advancing to step 9:
586 goes into 1970 3 times with a remainder of 212.
Put 3 as the next digit of the answer. 
Result so far: 24057.3
The remainder is 212 after subtracting 1758 from 1970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Going ahead to step 10:
586 goes into 2120 3 times with a remainder of 362.
The next digit of our result is 3. 
Result so far: 24057.33
Subtract 1758 from 2120 to get 362.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

The quotient of the division is 24057.33, and the remainder is 0.362.