25195765 ÷ 803 
We want to figure out the number of times 25195765 can be divided by 803.

Step 1:
803 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
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 / 803

Advancing to step 2:
When dividing 25 by 803, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 803

Step 3:
If we divide 251 by 803, we get 0 and a remainder of 251.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 251 and we're left with 251.
Bring next digit (9) of the dividend behind the 251 and repeat the process: 2519 / 803

Let's proceed to step 4:
803 goes into 2519 3 times with a remainder of 110.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 2409 from 2519 leaves us with 110.
Append the next digit (5) from the dividend to 110 and continue with: 1105 / 803

Advancing to step 5:
If we divide 1105 by 803, we get 1 and a remainder of 302.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
The remainder is 302 after subtracting 803 from 1105.
Take the next digit (7) from the dividend and append it to 302, then repeat: 3027 / 803

On to step 6:
When dividing 3027 by 803, we get 3 with a remainder of 618.
The next digit of our result is 3. 
Result so far: 313.0
Subtracting 2409 from 3027 leaves us with 618.
Grab the next digit (6) from the dividend, add it to 618, then carry on: 6186 / 803

Moving on to step 7:
If we divide 6186 by 803, we get 7 and a remainder of 565.
Write down 7 as next digit of the result. 
Result so far: 3137.0
If we take 5621 away from 6186, we end up with 565.
Fetch the next digit (5) from the dividend, attach it to 565 and continue: 5655 / 803

Advancing to step 8:
803 can be fit into 5655 7 times, resulting in a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 31377.0
The remainder is 34 after subtracting 5621 from 5655.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
803 can be fit into 340 0 times, resulting in a remainder of 340.
Write down 0 as next digit of the result. 
Result so far: 31377.0
If we take 0 away from 340, we end up with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Let's proceed to step 10:
When dividing 3400 by 803, we get 4 with a remainder of 188.
Use 4 as the next digit of our solution. 
Result so far: 31377.04
Subtracting 3212 from 3400 leaves us with 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

Moving on to step 11:
The number 803 fits into 1880 2 times, leaving a remainder of 274.
Record the quotient 2 as the next digit in the result. 
Result so far: 31377.042
Subtract 1606 from 1880 to get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Let's proceed to step 12:
The number 803 fits into 2740 3 times, leaving a remainder of 331.
Write down 3 as next digit of the result. 
Result so far: 31377.0423
The remainder is 331 after subtracting 2409 from 2740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3310, and continue the process.

Let's proceed to step 13:
If we divide 3310 by 803, we get 4 and a remainder of 98.
The number 4 becomes the next digit in our result. 
Result so far: 31377.04234
If we take 3212 away from 3310, we end up with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Let's proceed to step 14:
803 goes into 980 1 times with a remainder of 177.
The number 1 becomes the next digit in our result. 
Result so far: 31377.042341
If we take 803 away from 980, we end up with 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1770, and continue the process.

Step 15:
803 can be fit into 1770 2 times, resulting in a remainder of 164.
Write down 2 as next digit of the result. 
Result so far: 31377.0423412
If we subtract 1606 from 1770, we get 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Going ahead to step 16:
1640 divided by 803 is 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 31377.04234122
Deduct 1606 from 1640 and we're left 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.

After the division, we end up with 31377.04234122 and a remainder of 3.4e-08.