We divide 10001325 by 827
We're looking to find how many times 827 goes into 10001325.

Let's proceed to step 1:
If we divide 1 by 827, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 827

Going ahead to step 2:
10 divided by 827 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 827

On to step 3:
If we divide 100 by 827, we get 0 and a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 100, we end up with 100.
Take the next digit (0) from the dividend and append it to 100, then repeat: 1000 / 827

Step 4:
When dividing 1000 by 827, we get 1 with a remainder of 173.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 827 away from 1000, we end up with 173.
Fetch the next digit (1) from the dividend, attach it to 173 and continue: 1731 / 827

Moving on to step 5:
The number 827 fits into 1731 2 times, leaving a remainder of 77.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 77 after subtracting 1654 from 1731.
Bring next digit (3) of the dividend behind the 77 and repeat the process: 773 / 827

Let's proceed to step 6:
773 divided by 827 is 0 with a remainder of 773.
Use 0 as the next digit of our solution. 
Result so far: 120.0
The remainder is 773 after subtracting 0 from 773.
Include the next digit (2) from the dividend after 773, then repeat: 7732 / 827

Advancing to step 7:
827 goes into 7732 9 times with a remainder of 289.
Use 9 as the next digit of our solution. 
Result so far: 1209.0
If we take 7443 away from 7732, we end up with 289.
Bring next digit (5) of the dividend behind the 289 and repeat the process: 2895 / 827

Advancing to step 8:
2895 divided by 827 is 3 with a remainder of 414.
Use 3 as the next digit of our solution. 
Result so far: 12093.0
Subtract 2481 from 2895 to get 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

Advancing to step 9:
4140 divided by 827 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 12093.5
Deduct 4135 from 4140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
The number 827 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 12093.5
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 11:
500 divided by 827 is 0 with a remainder of 500.
The next digit of our result is 0. 
Result so far: 12093.5
Subtract 0 from 500 to get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

After the division, we end up with 12093.5 and a remainder of 0.05.