We're dividing 586233 by 14 
Let's see how many times 14 fits into 586233.

On to step 1:
The number 14 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 14

On to step 2:
When dividing 58 by 14, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 2 after subtracting 56 from 58.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 14

Moving on to step 3:
14 can be fit into 26 1 times, resulting in a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
If we take 14 away from 26, we end up with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 14

Advancing to step 4:
When dividing 122 by 14, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 418.0
If we take 112 away from 122, we end up with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 14

Step 5:
14 goes into 103 7 times with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 4187.0
If we take 98 away from 103, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 14

Let's proceed to step 6:
14 goes into 53 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 41873.0
If we take 42 away from 53, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
110 divided by 14 is 7 with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 41873.7
Deduct 98 from 110 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 14 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 41873.78
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
If we divide 80 by 14, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 41873.785
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
When dividing 100 by 14, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 41873.7857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 41873.78571
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
If we divide 60 by 14, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 41873.785714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 41873.7857142
If we subtract 28 from 40, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 41873.78571428
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 41873.78571428 with a balance of 8e-09.