25180 ÷ 38 
We want to divide 25180 by 38.

Advancing to step 1:
38 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 38

Step 2:
38 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 38

Going ahead to step 3:
38 goes into 251 6 times with a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 228 from 251, we get 23.
Append the next digit (8) from the dividend to 23 and continue with: 238 / 38

Moving on to step 4:
When dividing 238 by 38, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtract 228 from 238 to get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 38

Going ahead to step 5:
100 divided by 38 is 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 662.0
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.

On to step 6:
240 divided by 38 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 662.6
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.

Let's proceed to step 7:
If we divide 120 by 38, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 662.63
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 8:
38 goes into 60 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 662.631
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 9:
220 divided by 38 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 662.6315
If we take 190 away from 220, we end up 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.

Moving on to step 10:
300 divided by 38 is 7 with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 662.63157
If we take 266 away from 300, we end up 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.

Going ahead to step 11:
If we divide 340 by 38, we get 8 and a remainder of 36.
The next digit of our result is 8. 
Result so far: 662.631578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 12:
If we divide 360 by 38, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 662.6315789
Subtracting 342 from 360 leaves us 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 13:
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: 662.63157894
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 662.63157894, and the remainder is 2.8e-08.