103825 divided by 39 
We want to divide 103825 by 39.

Going ahead to step 1:
1 divided by 39 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 39

Advancing to step 2:
When dividing 10 by 39, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 39

Step 3:
When dividing 103 by 39, we get 2 with a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 78 from 103 leaves us with 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 39

Moving on to step 4:
The number 39 fits into 258 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we take 234 away from 258, we end up with 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 39

Let's proceed to step 5:
39 can be fit into 242 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 266.0
Deduct 234 from 242 and we're left with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 39

On to step 6:
When dividing 85 by 39, we get 2 with a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 2662.0
Subtract 78 from 85 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
70 divided by 39 is 1 with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 2662.1
If we take 39 away from 70, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 8:
39 can be fit into 310 7 times, resulting in a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 2662.17
Subtract 273 from 310 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 9:
When dividing 370 by 39, we get 9 with a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 2662.179
The remainder is 19 after subtracting 351 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 10:
39 goes into 190 4 times with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 2662.1794
The remainder is 34 after subtracting 156 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
The number 39 fits into 340 8 times, leaving a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 2662.17948
If we take 312 away from 340, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
39 goes into 280 7 times with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 2662.179487
Subtract 273 from 280 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 13:
The number 39 fits into 70 1 times, leaving a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 2662.1794871
Subtracting 39 from 70 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 14:
The number 39 fits into 310 7 times, leaving a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 2662.17948717
Deduct 273 from 310 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 2662.17948717 with a remainder of 3.7e-08.