Let's divide 13382831 by 825
Our goal is to divide 13382831 by 825.

Step 1:
825 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 825

Going ahead to step 2:
If we divide 13 by 825, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 825

Let's proceed to step 3:
825 goes into 133 0 times with a remainder of 133.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 133, we get 133.
Bring next digit (8) of the dividend behind the 133 and repeat the process: 1338 / 825

On to step 4:
The number 825 fits into 1338 1 times, leaving a remainder of 513.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 825 from 1338 to get 513.
Bring next digit (2) of the dividend behind the 513 and repeat the process: 5132 / 825

Advancing to step 5:
If we divide 5132 by 825, we get 6 and a remainder of 182.
The next digit of our result is 6. 
Result so far: 16.0
Deduct 4950 from 5132 and we're left with 182.
Grab the next digit (8) from the dividend, add it to 182, then carry on: 1828 / 825

Advancing to step 6:
If we divide 1828 by 825, we get 2 and a remainder of 178.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
If we take 1650 away from 1828, we end up with 178.
Bring next digit (3) of the dividend behind the 178 and repeat the process: 1783 / 825

Let's proceed to step 7:
When dividing 1783 by 825, we get 2 with a remainder of 133.
Record the quotient 2 as the next digit in the result. 
Result so far: 1622.0
Subtract 1650 from 1783 to get 133.
Append the next digit (1) from the dividend to 133 and continue with: 1331 / 825

Let's proceed to step 8:
When dividing 1331 by 825, we get 1 with a remainder of 506.
Put 1 as the next digit of the answer. 
Result so far: 16221.0
Deduct 825 from 1331 and we're left with 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Step 9:
825 can be fit into 5060 6 times, resulting in a remainder of 110.
Use 6 as the next digit of our solution. 
Result so far: 16221.6
If we subtract 4950 from 5060, we get 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Let's proceed to step 10:
When dividing 1100 by 825, we get 1 with a remainder of 275.
Put 1 as the next digit of the answer. 
Result so far: 16221.61
If we take 825 away from 1100, we end up with 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Let's proceed to step 11:
825 goes into 2750 3 times with a remainder of 275.
Record the quotient 3 as the next digit in the result. 
Result so far: 16221.613
Subtracting 2475 from 2750 leaves us with 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Let's proceed to step 12:
825 goes into 2750 3 times with a remainder of 275.
The number 3 becomes the next digit in our result. 
Result so far: 16221.6133
If we subtract 2475 from 2750, we get 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

The quotient of the division is 16221.6133, and the remainder is 0.00275.