Let's divide 100825 by 39
We want to divide 100825 by 39.

Step 1:
The number 39 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 (0) from the dividend to 1 and continue with: 10 / 39

Let's proceed to step 2:
The number 39 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 39

Let's proceed to step 3:
39 can be fit into 100 2 times, resulting in a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 78 from 100, we get 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 39

On to step 4:
39 can be fit into 228 5 times, resulting in a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 25.0
Subtracting 195 from 228 leaves us with 33.
Append the next digit (2) from the dividend to 33 and continue with: 332 / 39

On to step 5:
The number 39 fits into 332 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 258.0
If we subtract 312 from 332, we get 20.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 39

Let's proceed to step 6:
If we divide 205 by 39, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 2585.0
If we subtract 195 from 205, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
100 divided by 39 is 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 2585.2
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
When dividing 220 by 39, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2585.25
If we subtract 195 from 220, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
The number 39 fits into 250 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 2585.256
Deduct 234 from 250 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
The number 39 fits into 160 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 2585.2564
Subtracting 156 from 160 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
39 can be fit into 40 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 2585.25641
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
10 divided by 39 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 2585.25641
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
39 goes into 100 2 times with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 2585.2564102
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 14:
39 can be fit into 220 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2585.25641025
Deduct 195 from 220 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 2585.25641025, with a leftover of 2.5e-08.