We look at the division of 257966 by 123 
We're looking to find how many times 123 goes into 257966.

Moving on to step 1:
123 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 123

Going ahead to step 2:
25 divided by 123 is 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 123

Step 3:
123 goes into 257 2 times with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 246 from 257 to get 11.
Bring next digit (9) of the dividend behind the 11 and repeat the process: 119 / 123

Step 4:
119 divided by 123 is 0 with a remainder of 119.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we take 0 away from 119, we end up with 119.
Include the next digit (6) from the dividend after 119, then repeat: 1196 / 123

On to step 5:
If we divide 1196 by 123, we get 9 and a remainder of 89.
Record the quotient 9 as the next digit in the result. 
Result so far: 209.0
Deduct 1107 from 1196 and we're left with 89.
Fetch the next digit (6) from the dividend, attach it to 89 and continue: 896 / 123

Let's proceed to step 6:
If we divide 896 by 123, we get 7 and a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 2097.0
If we take 861 away from 896, we end up 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.

Step 7:
The number 123 fits into 350 2 times, leaving a remainder of 104.
Use 2 as the next digit of our solution. 
Result so far: 2097.2
Subtract 246 from 350 to get 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Going ahead to step 8:
If we divide 1040 by 123, we get 8 and a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 2097.28
Subtract 984 from 1040 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 9:
123 can be fit into 560 4 times, resulting in a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 2097.284
Subtracting 492 from 560 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 10:
The number 123 fits into 680 5 times, leaving a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 2097.2845
Subtracting 615 from 680 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 11:
123 can be fit into 650 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 2097.28455
Deduct 615 from 650 and we're left 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.

The final result is 2097.28455 with a remainder of 3.5e-05.