Let's divide 515934 by 38
We want to figure out the number of times 515934 can be divided by 38.

Advancing to step 1:
38 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 38

Going ahead to step 2:
38 goes into 51 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 38 from 51, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 38

Step 3:
38 goes into 135 3 times with a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 21 after subtracting 114 from 135.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 38

Advancing to step 4:
219 divided by 38 is 5 with a remainder of 29.
The next digit of our result is 5. 
Result so far: 135.0
Subtract 190 from 219 to get 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 38

Advancing to step 5:
293 divided by 38 is 7 with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 1357.0
Deduct 266 from 293 and we're left with 27.
Append the next digit (4) from the dividend to 27 and continue with: 274 / 38

Step 6:
If we divide 274 by 38, we get 7 and a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 13577.0
Subtract 266 from 274 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 38, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 13577.2
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.

Let's proceed to step 8:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 13577.21
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.

Moving on to step 9:
20 divided by 38 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13577.21
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.

Moving on to step 10:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 13577.2105
The remainder is 10 after subtracting 190 from 200.
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:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 13577.21052
If we take 76 away from 100, we end up with 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 12:
If we divide 240 by 38, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 13577.210526
If we subtract 228 from 240, we get 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 13:
38 goes into 120 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 13577.2105263
Deduct 114 from 120 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.

Going ahead to step 14:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 13577.21052631
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 13577.21052631, and the remainder is 2.2e-08.