We're dividing 14038 by 17 
We want to figure out the number of times 14038 can be divided by 17.

Going ahead to step 1:
1 divided by 17 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 17

Step 2:
The number 17 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 17

Advancing to step 3:
If we divide 140 by 17, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 136 from 140 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 17

On to step 4:
The number 17 fits into 43 2 times, leaving a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 82.0
Deduct 34 from 43 and we're left with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 17

Moving on to step 5:
The number 17 fits into 98 5 times, leaving a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 825.0
The remainder is 13 after subtracting 85 from 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 6:
17 can be fit into 130 7 times, resulting in a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 825.7
Subtracting 119 from 130 leaves us 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.

On to step 7:
17 goes into 110 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 825.76
If we take 102 away from 110, 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.

Step 8:
17 can be fit into 80 4 times, resulting in a remainder of 12.
The next digit of our result is 4. 
Result so far: 825.764
Subtracting 68 from 80 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.

Moving on to step 9:
When dividing 120 by 17, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 825.7647
If we take 119 away from 120, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
The number 17 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 825.7647
If we subtract 0 from 10, 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.

Moving on to step 11:
17 goes into 100 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 825.764705
Subtracting 85 from 100 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
17 goes into 150 8 times with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 825.7647058
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
When dividing 140 by 17, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 825.76470588
Deduct 136 from 140 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.

The quotient of the division is 825.76470588, and the remainder is 4e-09.