We look at the division of 583438 by 14 
We want to divide 583438 by 14.

On to step 1:
If we divide 5 by 14, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 14

Let's proceed to step 2:
The number 14 fits into 58 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 56 from 58 and we're left with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 14

On to step 3:
23 divided by 14 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Deduct 14 from 23 and we're left with 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 14

On to step 4:
14 can be fit into 94 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 416.0
The remainder is 10 after subtracting 84 from 94.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 14

Advancing to step 5:
14 can be fit into 103 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 4167.0
Deduct 98 from 103 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 14

On to step 6:
If we divide 58 by 14, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 41674.0
The remainder is 2 after subtracting 56 from 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 41674.1
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 41674.14
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.

Advancing to step 9:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 41674.142
Subtracting 28 from 40 leaves us 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.

Going ahead to step 10:
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: 41674.1428
Subtracting 112 from 120 leaves us 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.

Step 11:
14 goes into 80 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 41674.14285
Deduct 70 from 80 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 41674.142857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 41674.1428571
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 41674.14285714
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 41674.14285714 and a remainder of 4e-09.