We look at the division of 25433013 by 829 
Our goal is to divide 25433013 by 829.

On to step 1:
829 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 829

Step 2:
829 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 829

Going ahead to step 3:
829 can be fit into 254 0 times, resulting in a remainder of 254.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 254, we get 254.
Include the next digit (3) from the dividend after 254, then repeat: 2543 / 829

Let's proceed to step 4:
829 goes into 2543 3 times with a remainder of 56.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 56 after subtracting 2487 from 2543.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 829

Step 5:
563 divided by 829 is 0 with a remainder of 563.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
Deduct 0 from 563 and we're left with 563.
Grab the next digit (0) from the dividend, add it to 563, then carry on: 5630 / 829

Going ahead to step 6:
If we divide 5630 by 829, we get 6 and a remainder of 656.
Write down 6 as next digit of the result. 
Result so far: 306.0
Subtract 4974 from 5630 to get 656.
Fetch the next digit (1) from the dividend, attach it to 656 and continue: 6561 / 829

Let's proceed to step 7:
6561 divided by 829 is 7 with a remainder of 758.
Record the quotient 7 as the next digit in the result. 
Result so far: 3067.0
Subtract 5803 from 6561 to get 758.
Grab the next digit (3) from the dividend, add it to 758, then carry on: 7583 / 829

Let's proceed to step 8:
The number 829 fits into 7583 9 times, leaving a remainder of 122.
The next digit of our result is 9. 
Result so far: 30679.0
Subtracting 7461 from 7583 leaves us with 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

On to step 9:
If we divide 1220 by 829, we get 1 and a remainder of 391.
Record the quotient 1 as the next digit in the result. 
Result so far: 30679.1
If we subtract 829 from 1220, we get 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

On to step 10:
The number 829 fits into 3910 4 times, leaving a remainder of 594.
Write down 4 as next digit of the result. 
Result so far: 30679.14
If we take 3316 away from 3910, we end up with 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5940, and continue the process.

Let's proceed to step 11:
When dividing 5940 by 829, we get 7 with a remainder of 137.
The next digit of our result is 7. 
Result so far: 30679.147
If we subtract 5803 from 5940, we get 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Advancing to step 12:
829 can be fit into 1370 1 times, resulting in a remainder of 541.
The number 1 becomes the next digit in our result. 
Result so far: 30679.1471
If we subtract 829 from 1370, we get 541.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5410, and continue the process.

Moving on to step 13:
The number 829 fits into 5410 6 times, leaving a remainder of 436.
Write down 6 as next digit of the result. 
Result so far: 30679.14716
If we take 4974 away from 5410, we end up with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Step 14:
829 goes into 4360 5 times with a remainder of 215.
Write down 5 as next digit of the result. 
Result so far: 30679.147165
Subtract 4145 from 4360 to get 215.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2150, and continue the process.

Moving on to step 15:
The number 829 fits into 2150 2 times, leaving a remainder of 492.
The number 2 becomes the next digit in our result. 
Result so far: 30679.1471652
The remainder is 492 after subtracting 1658 from 2150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

Step 16:
4920 divided by 829 is 5 with a remainder of 775.
Use 5 as the next digit of our solution. 
Result so far: 30679.14716525
Subtract 4145 from 4920 to get 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

After the division, we end up with 30679.14716525 and a remainder of 7.75e-07.