We're dividing 514053 by 38 
Our goal is to divide 514053 by 38.

Step 1:
5 divided by 38 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 38

Moving on to step 2:
When dividing 51 by 38, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 13 after subtracting 38 from 51.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 38

Let's proceed to step 3:
38 can be fit into 134 3 times, resulting in a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 114 from 134 and we're left with 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 38

Let's proceed to step 4:
200 divided by 38 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
If we subtract 190 from 200, we get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 38

Let's proceed to step 5:
If we divide 105 by 38, we get 2 and a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 1352.0
Subtracting 76 from 105 leaves us with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 38

Step 6:
When dividing 293 by 38, we get 7 with a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 13527.0
Deduct 266 from 293 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
38 goes into 270 7 times with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 13527.7
If we take 266 away from 270, we end up 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.

On to step 8:
40 divided by 38 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 13527.71
Subtract 38 from 40 to 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.

Advancing to step 9:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 13527.71
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
200 divided by 38 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 13527.7105
Deduct 190 from 200 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 11:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 13527.71052
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
If we divide 240 by 38, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 13527.710526
Subtracting 228 from 240 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.

On to step 13:
38 goes into 120 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 13527.7105263
The remainder is 6 after subtracting 114 from 120.
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 14:
If we divide 60 by 38, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 13527.71052631
Deduct 38 from 60 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 13527.71052631, and the remainder is 2.2e-08.