We divide 25578014 by 838
We want to divide 25578014 by 838.

Going ahead to step 1:
The number 838 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 838

Let's proceed to step 2:
838 can be fit into 25 0 times, resulting in a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 838

Moving on to step 3:
The number 838 fits into 255 0 times, leaving a remainder of 255.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 255 and we're left with 255.
Include the next digit (7) from the dividend after 255, then repeat: 2557 / 838

On to step 4:
If we divide 2557 by 838, we get 3 and a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 43 after subtracting 2514 from 2557.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 838

Moving on to step 5:
438 divided by 838 is 0 with a remainder of 438.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
The remainder is 438 after subtracting 0 from 438.
Append the next digit (0) from the dividend to 438 and continue with: 4380 / 838

Step 6:
If we divide 4380 by 838, we get 5 and a remainder of 190.
Put 5 as the next digit of the answer. 
Result so far: 305.0
Subtracting 4190 from 4380 leaves us with 190.
Grab the next digit (1) from the dividend, add it to 190, then carry on: 1901 / 838

Let's proceed to step 7:
1901 divided by 838 is 2 with a remainder of 225.
The next digit of our result is 2. 
Result so far: 3052.0
The remainder is 225 after subtracting 1676 from 1901.
Append the next digit (4) from the dividend to 225 and continue with: 2254 / 838

Let's proceed to step 8:
2254 divided by 838 is 2 with a remainder of 578.
Put 2 as the next digit of the answer. 
Result so far: 30522.0
If we subtract 1676 from 2254, we get 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Advancing to step 9:
838 can be fit into 5780 6 times, resulting in a remainder of 752.
Use 6 as the next digit of our solution. 
Result so far: 30522.6
If we subtract 5028 from 5780, we get 752.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7520, and continue the process.

Advancing to step 10:
838 goes into 7520 8 times with a remainder of 816.
Record the quotient 8 as the next digit in the result. 
Result so far: 30522.68
Deduct 6704 from 7520 and we're left with 816.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8160, and continue the process.

Let's proceed to step 11:
838 can be fit into 8160 9 times, resulting in a remainder of 618.
Use 9 as the next digit of our solution. 
Result so far: 30522.689
Subtracting 7542 from 8160 leaves us with 618.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6180, and continue the process.

Going ahead to step 12:
838 goes into 6180 7 times with a remainder of 314.
The number 7 becomes the next digit in our result. 
Result so far: 30522.6897
If we take 5866 away from 6180, we end up with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

On to step 13:
838 can be fit into 3140 3 times, resulting in a remainder of 626.
The next digit of our result is 3. 
Result so far: 30522.68973
Deduct 2514 from 3140 and we're left with 626.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

Advancing to step 14:
When dividing 6260 by 838, we get 7 with a remainder of 394.
Write down 7 as next digit of the result. 
Result so far: 30522.689737
The remainder is 394 after subtracting 5866 from 6260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Let's proceed to step 15:
The number 838 fits into 3940 4 times, leaving a remainder of 588.
Write down 4 as next digit of the result. 
Result so far: 30522.6897374
If we subtract 3352 from 3940, we get 588.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5880, and continue the process.

On to step 16:
838 can be fit into 5880 7 times, resulting in a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 30522.68973747
Subtracting 5866 from 5880 leaves us 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.

In conclusion, the division gives 30522.68973747 with a balance of 1.4e-08.