We divide 4271007 by 825
Our goal is to divide 4271007 by 825.

Step 1:
The number 825 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 825

On to step 2:
When dividing 42 by 825, we get 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Grab the next digit (7) from the dividend, add it to 42, then carry on: 427 / 825

Moving on to step 3:
If we divide 427 by 825, we get 0 and a remainder of 427.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 427 to get 427.
Fetch the next digit (1) from the dividend, attach it to 427 and continue: 4271 / 825

Advancing to step 4:
When dividing 4271 by 825, we get 5 with a remainder of 146.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 146 after subtracting 4125 from 4271.
Bring next digit (0) of the dividend behind the 146 and repeat the process: 1460 / 825

Moving on to step 5:
When dividing 1460 by 825, we get 1 with a remainder of 635.
Use 1 as the next digit of our solution. 
Result so far: 51.0
If we take 825 away from 1460, we end up with 635.
Take the next digit (0) from the dividend and append it to 635, then repeat: 6350 / 825

On to step 6:
6350 divided by 825 is 7 with a remainder of 575.
The number 7 becomes the next digit in our result. 
Result so far: 517.0
Deduct 5775 from 6350 and we're left with 575.
Bring next digit (7) of the dividend behind the 575 and repeat the process: 5757 / 825

Going ahead to step 7:
The number 825 fits into 5757 6 times, leaving a remainder of 807.
The next digit of our result is 6. 
Result so far: 5176.0
If we take 4950 away from 5757, we end up with 807.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8070, and continue the process.

Going ahead to step 8:
When dividing 8070 by 825, we get 9 with a remainder of 645.
Record the quotient 9 as the next digit in the result. 
Result so far: 5176.9
The remainder is 645 after subtracting 7425 from 8070.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6450, and continue the process.

Advancing to step 9:
825 goes into 6450 7 times with a remainder of 675.
The number 7 becomes the next digit in our result. 
Result so far: 5176.97
If we take 5775 away from 6450, we end up with 675.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6750, and continue the process.

On to step 10:
If we divide 6750 by 825, we get 8 and a remainder of 150.
Use 8 as the next digit of our solution. 
Result so far: 5176.978
Subtracting 6600 from 6750 leaves us with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Let's proceed to step 11:
The number 825 fits into 1500 1 times, leaving a remainder of 675.
The number 1 becomes the next digit in our result. 
Result so far: 5176.9781
Subtracting 825 from 1500 leaves us with 675.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6750, and continue the process.

On to step 12:
825 can be fit into 6750 8 times, resulting in a remainder of 150.
Use 8 as the next digit of our solution. 
Result so far: 5176.97818
Subtracting 6600 from 6750 leaves us with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Step 13:
1500 divided by 825 is 1 with a remainder of 675.
Record the quotient 1 as the next digit in the result. 
Result so far: 5176.978181
If we subtract 825 from 1500, we get 675.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6750, and continue the process.

Advancing to step 14:
6750 divided by 825 is 8 with a remainder of 150.
The number 8 becomes the next digit in our result. 
Result so far: 5176.9781818
If we subtract 6600 from 6750, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Step 15:
If we divide 1500 by 825, we get 1 and a remainder of 675.
Put 1 as the next digit of the answer. 
Result so far: 5176.97818181
The remainder is 675 after subtracting 825 from 1500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6750, and continue the process.

Our division results in 5176.97818181 with a remaining 6.75e-07.