Let's divide 513762 by 38
We want to divide 513762 by 38.

Advancing to step 1:
5 divided by 38 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 38

On to step 2:
When dividing 51 by 38, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 38 from 51 leaves us with 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 38

Moving on to step 3:
133 divided by 38 is 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 114 from 133 and we're left with 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 38

On to step 4:
When dividing 197 by 38, we get 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 135.0
Deduct 190 from 197 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 38

Advancing to step 5:
When dividing 76 by 38, we get 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 1352.0
Subtract 76 from 76 to get 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 38

Moving on to step 6:
38 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 13520.0
If we take 0 away from 2, we end up 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.

Let's proceed to step 7:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 13520.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
When dividing 200 by 38, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 13520.05
Subtracting 190 from 200 leaves us 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 9:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 13520.052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
When dividing 240 by 38, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 13520.0526
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.

Going ahead to step 11:
38 can be fit into 120 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 13520.05263
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.

Going ahead to step 12:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 13520.052631
If we subtract 38 from 60, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 13520.0526315
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
38 goes into 300 7 times with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 13520.05263157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 13520.05263157, and the remainder is 3.4e-08.