We divide 513512 by 38
We want to figure out the number of times 513512 can be divided by 38.

Step 1:
5 divided by 38 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 38

Going ahead to step 2:
If we divide 51 by 38, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 38 from 51 to get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 38

Going ahead to step 3:
The number 38 fits into 133 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 19 after subtracting 114 from 133.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 38

Moving on to step 4:
If we divide 195 by 38, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 135.0
The remainder is 5 after subtracting 190 from 195.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 38

Let's proceed to step 5:
51 divided by 38 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 1351.0
Subtract 38 from 51 to get 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 38

Let's proceed to step 6:
38 can be fit into 132 3 times, resulting in a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 13513.0
Deduct 114 from 132 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
180 divided by 38 is 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 13513.4
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
The number 38 fits into 280 7 times, leaving a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 13513.47
Subtract 266 from 280 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.

On to step 9:
38 goes into 140 3 times with a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 13513.473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
If we divide 260 by 38, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 13513.4736
Subtract 228 from 260 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
38 can be fit into 320 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 13513.47368
Subtracting 304 from 320 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
When dividing 160 by 38, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 13513.473684
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
The number 38 fits into 80 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 13513.4736842
If we take 76 away from 80, 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.

Going ahead to step 14:
38 can be fit into 40 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 13513.47368421
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 13513.47368421, and the remainder is 2e-09.