We're dividing 25799634 by 957 
We want to figure out the number of times 25799634 can be divided by 957.

On to step 1:
When dividing 2 by 957, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
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 / 957

On to step 2:
957 goes into 25 0 times with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 957

Going ahead to step 3:
If we divide 257 by 957, we get 0 and a remainder of 257.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 257 after subtracting 0 from 257.
Take the next digit (9) from the dividend and append it to 257, then repeat: 2579 / 957

Step 4:
957 can be fit into 2579 2 times, resulting in a remainder of 665.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 1914 away from 2579, we end up with 665.
Fetch the next digit (9) from the dividend, attach it to 665 and continue: 6659 / 957

Going ahead to step 5:
6659 divided by 957 is 6 with a remainder of 917.
The next digit of our result is 6. 
Result so far: 26.0
The remainder is 917 after subtracting 5742 from 6659.
Fetch the next digit (6) from the dividend, attach it to 917 and continue: 9176 / 957

On to step 6:
9176 divided by 957 is 9 with a remainder of 563.
Write down 9 as next digit of the result. 
Result so far: 269.0
The remainder is 563 after subtracting 8613 from 9176.
Take the next digit (3) from the dividend and append it to 563, then repeat: 5633 / 957

Moving on to step 7:
957 goes into 5633 5 times with a remainder of 848.
The number 5 becomes the next digit in our result. 
Result so far: 2695.0
The remainder is 848 after subtracting 4785 from 5633.
Grab the next digit (4) from the dividend, add it to 848, then carry on: 8484 / 957

On to step 8:
The number 957 fits into 8484 8 times, leaving a remainder of 828.
Put 8 as the next digit of the answer. 
Result so far: 26958.0
Subtract 7656 from 8484 to get 828.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8280, and continue the process.

Moving on to step 9:
If we divide 8280 by 957, we get 8 and a remainder of 624.
The next digit of our result is 8. 
Result so far: 26958.8
Deduct 7656 from 8280 and we're left with 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

Advancing to step 10:
957 can be fit into 6240 6 times, resulting in a remainder of 498.
Write down 6 as next digit of the result. 
Result so far: 26958.86
Deduct 5742 from 6240 and we're left with 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Step 11:
The number 957 fits into 4980 5 times, leaving a remainder of 195.
Put 5 as the next digit of the answer. 
Result so far: 26958.865
Subtracting 4785 from 4980 leaves us with 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

On to step 12:
1950 divided by 957 is 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 26958.8652
Deduct 1914 from 1950 and we're left with 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 13:
The number 957 fits into 360 0 times, leaving a remainder of 360.
The number 0 becomes the next digit in our result. 
Result so far: 26958.8652
If we subtract 0 from 360, we get 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Step 14:
3600 divided by 957 is 3 with a remainder of 729.
Write down 3 as next digit of the result. 
Result so far: 26958.865203
If we subtract 2871 from 3600, we get 729.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7290, and continue the process.

On to step 15:
7290 divided by 957 is 7 with a remainder of 591.
Record the quotient 7 as the next digit in the result. 
Result so far: 26958.8652037
Subtracting 6699 from 7290 leaves us with 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5910, and continue the process.

Let's proceed to step 16:
5910 divided by 957 is 6 with a remainder of 168.
Record the quotient 6 as the next digit in the result. 
Result so far: 26958.86520376
Deduct 5742 from 5910 and we're left with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

The quotient of the division is 26958.86520376, and the remainder is 1.68e-07.