Let's divide 521584 by 38
We want to figure out the number of times 521584 can be divided by 38.

Advancing to step 1:
When dividing 5 by 38, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 38

On to step 2:
If we divide 52 by 38, we get 1 and a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 38 from 52, we get 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 38

On to step 3:
The number 38 fits into 141 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 13.0
If we take 114 away from 141, we end up with 27.
Include the next digit (5) from the dividend after 27, then repeat: 275 / 38

Advancing to step 4:
275 divided by 38 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 137.0
Deduct 266 from 275 and we're left with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 38

On to step 5:
If we divide 98 by 38, we get 2 and a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 1372.0
If we subtract 76 from 98, we get 22.
Include the next digit (4) from the dividend after 22, then repeat: 224 / 38

Going ahead to step 6:
38 can be fit into 224 5 times, resulting in a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 13725.0
The remainder is 34 after subtracting 190 from 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
38 goes into 340 8 times with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 13725.8
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
38 can be fit into 360 9 times, resulting in a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 13725.89
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 13725.894
Subtracting 152 from 180 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 10:
38 can be fit into 280 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 13725.8947
Deduct 266 from 280 and we're left with 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 11:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 13725.89473
If we take 114 away from 140, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
260 divided by 38 is 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 13725.894736
If we subtract 228 from 260, we 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.

Let's proceed to step 13:
320 divided by 38 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 13725.8947368
Deduct 304 from 320 and we're left 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.

Step 14:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 13725.89473684
If we take 152 away from 160, 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.

In conclusion, the division gives 13725.89473684 with a balance of 8e-09.