525791 ÷ 38 
Our goal is to divide 525791 by 38.

On to step 1:
When dividing 5 by 38, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 38

Let's proceed to step 2:
When dividing 52 by 38, we get 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 14 after subtracting 38 from 52.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 38

Advancing to step 3:
145 divided by 38 is 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we subtract 114 from 145, we get 31.
Fetch the next digit (7) from the dividend, attach it to 31 and continue: 317 / 38

Advancing to step 4:
If we divide 317 by 38, we get 8 and a remainder of 13.
The next digit of our result is 8. 
Result so far: 138.0
If we take 304 away from 317, we end up with 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 38

Moving on to step 5:
If we divide 139 by 38, we get 3 and a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 1383.0
Deduct 114 from 139 and we're left with 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 38

On to step 6:
251 divided by 38 is 6 with a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 13836.0
Deduct 228 from 251 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
If we divide 230 by 38, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 13836.6
Subtract 228 from 230 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.

Step 8:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 13836.6
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 9:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 13836.605
If we take 190 away from 200, we end up 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 10:
If we divide 100 by 38, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 13836.6052
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.

Let's proceed to step 11:
When dividing 240 by 38, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 13836.60526
Subtract 228 from 240 to 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.

Going ahead to step 12:
38 can be fit into 120 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 13836.605263
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 13:
If we divide 60 by 38, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 13836.6052631
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.

On to step 14:
The number 38 fits into 220 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 13836.60526315
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 13836.60526315 and a remainder of 3e-08.