We're dividing 13916726 by 825 
We're looking to find how many times 825 goes into 13916726.

Let's proceed to step 1:
The number 825 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 825

Going ahead to step 2:
When dividing 13 by 825, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 825

Let's proceed to step 3:
The number 825 fits into 139 0 times, leaving a remainder of 139.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 139 leaves us with 139.
Include the next digit (1) from the dividend after 139, then repeat: 1391 / 825

Step 4:
1391 divided by 825 is 1 with a remainder of 566.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 566 after subtracting 825 from 1391.
Append the next digit (6) from the dividend to 566 and continue with: 5666 / 825

Advancing to step 5:
5666 divided by 825 is 6 with a remainder of 716.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 4950 away from 5666, we end up with 716.
Bring next digit (7) of the dividend behind the 716 and repeat the process: 7167 / 825

On to step 6:
When dividing 7167 by 825, we get 8 with a remainder of 567.
Record the quotient 8 as the next digit in the result. 
Result so far: 168.0
If we subtract 6600 from 7167, we get 567.
Take the next digit (2) from the dividend and append it to 567, then repeat: 5672 / 825

Step 7:
If we divide 5672 by 825, we get 6 and a remainder of 722.
The number 6 becomes the next digit in our result. 
Result so far: 1686.0
Deduct 4950 from 5672 and we're left with 722.
Append the next digit (6) from the dividend to 722 and continue with: 7226 / 825

Going ahead to step 8:
7226 divided by 825 is 8 with a remainder of 626.
Write down 8 as next digit of the result. 
Result so far: 16868.0
If we take 6600 away from 7226, we end up 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.

On to step 9:
If we divide 6260 by 825, we get 7 and a remainder of 485.
Record the quotient 7 as the next digit in the result. 
Result so far: 16868.7
The remainder is 485 after subtracting 5775 from 6260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4850, and continue the process.

On to step 10:
825 goes into 4850 5 times with a remainder of 725.
Put 5 as the next digit of the answer. 
Result so far: 16868.75
The remainder is 725 after subtracting 4125 from 4850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7250, and continue the process.

Going ahead to step 11:
When dividing 7250 by 825, we get 8 with a remainder of 650.
Record the quotient 8 as the next digit in the result. 
Result so far: 16868.758
The remainder is 650 after subtracting 6600 from 7250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Advancing to step 12:
825 goes into 6500 7 times with a remainder of 725.
The next digit of our result is 7. 
Result so far: 16868.7587
Subtract 5775 from 6500 to get 725.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7250, and continue the process.

Moving on to step 13:
825 goes into 7250 8 times with a remainder of 650.
The number 8 becomes the next digit in our result. 
Result so far: 16868.75878
If we take 6600 away from 7250, we end up with 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

On to step 14:
The number 825 fits into 6500 7 times, leaving a remainder of 725.
The number 7 becomes the next digit in our result. 
Result so far: 16868.758787
The remainder is 725 after subtracting 5775 from 6500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7250, and continue the process.

On to step 15:
If we divide 7250 by 825, we get 8 and a remainder of 650.
Use 8 as the next digit of our solution. 
Result so far: 16868.7587878
If we take 6600 away from 7250, we end up with 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Going ahead to step 16:
825 can be fit into 6500 7 times, resulting in a remainder of 725.
Use 7 as the next digit of our solution. 
Result so far: 16868.75878787
If we take 5775 away from 6500, we end up with 725.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7250, and continue the process.

The quotient of the division is 16868.75878787, and the remainder is 7.25e-07.