126257 divided by 39 
Our goal is to divide 126257 by 39.

Moving on to step 1:
39 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 39

Going ahead to step 2:
The number 39 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 39

Moving on to step 3:
The number 39 fits into 126 3 times, leaving a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 9 after subtracting 117 from 126.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 39

Step 4:
The number 39 fits into 92 2 times, leaving a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 32.0
Deduct 78 from 92 and we're left with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 39

On to step 5:
39 can be fit into 145 3 times, resulting in a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 323.0
Subtracting 117 from 145 leaves us with 28.
Fetch the next digit (7) from the dividend, attach it to 28 and continue: 287 / 39

Let's proceed to step 6:
39 goes into 287 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 3237.0
If we subtract 273 from 287, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
39 can be fit into 140 3 times, resulting in a remainder of 23.
The next digit of our result is 3. 
Result so far: 3237.3
The remainder is 23 after subtracting 117 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
230 divided by 39 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 3237.35
Subtract 195 from 230 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
When dividing 350 by 39, we get 8 with a remainder of 38.
The next digit of our result is 8. 
Result so far: 3237.358
If we take 312 away from 350, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
39 goes into 380 9 times with a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 3237.3589
If we take 351 away from 380, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 11:
39 goes into 290 7 times with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 3237.35897
Subtracting 273 from 290 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
When dividing 170 by 39, we get 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 3237.358974
The remainder is 14 after subtracting 156 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
39 can be fit into 140 3 times, resulting in a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 3237.3589743
Deduct 117 from 140 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 14:
39 goes into 230 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 3237.35897435
Subtracting 195 from 230 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 3237.35897435 with a balance of 3.5e-08.