We look at the division of 25185963 by 838 
We want to figure out the number of times 25185963 can be divided by 838.

Let's proceed to step 1:
If we divide 2 by 838, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 838

Let's proceed to step 2:
25 divided by 838 is 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 838

Step 3:
251 divided by 838 is 0 with a remainder of 251.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 251 to get 251.
Take the next digit (8) from the dividend and append it to 251, then repeat: 2518 / 838

Moving on to step 4:
838 can be fit into 2518 3 times, resulting in a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 2514 from 2518 to get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 838

Let's proceed to step 5:
When dividing 45 by 838, we get 0 with a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 30.0
Subtract 0 from 45 to get 45.
Append the next digit (9) from the dividend to 45 and continue with: 459 / 838

Moving on to step 6:
When dividing 459 by 838, we get 0 with a remainder of 459.
The number 0 becomes the next digit in our result. 
Result so far: 300.0
If we subtract 0 from 459, we get 459.
Include the next digit (6) from the dividend after 459, then repeat: 4596 / 838

Moving on to step 7:
The number 838 fits into 4596 5 times, leaving a remainder of 406.
Put 5 as the next digit of the answer. 
Result so far: 3005.0
Deduct 4190 from 4596 and we're left with 406.
Take the next digit (3) from the dividend and append it to 406, then repeat: 4063 / 838

On to step 8:
When dividing 4063 by 838, we get 4 with a remainder of 711.
Use 4 as the next digit of our solution. 
Result so far: 30054.0
Subtract 3352 from 4063 to get 711.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7110, and continue the process.

Let's proceed to step 9:
838 goes into 7110 8 times with a remainder of 406.
Write down 8 as next digit of the result. 
Result so far: 30054.8
If we subtract 6704 from 7110, we get 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Step 10:
838 can be fit into 4060 4 times, resulting in a remainder of 708.
Record the quotient 4 as the next digit in the result. 
Result so far: 30054.84
If we subtract 3352 from 4060, we get 708.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7080, and continue the process.

Let's proceed to step 11:
When dividing 7080 by 838, we get 8 with a remainder of 376.
Put 8 as the next digit of the answer. 
Result so far: 30054.848
If we subtract 6704 from 7080, we get 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Let's proceed to step 12:
838 goes into 3760 4 times with a remainder of 408.
Use 4 as the next digit of our solution. 
Result so far: 30054.8484
If we subtract 3352 from 3760, we get 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Let's proceed to step 13:
838 can be fit into 4080 4 times, resulting in a remainder of 728.
The next digit of our result is 4. 
Result so far: 30054.84844
The remainder is 728 after subtracting 3352 from 4080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7280, and continue the process.

After the division, we end up with 30054.84844 and a remainder of 0.000728.