We look at the division of 129123 by 68 
We want to divide 129123 by 68.

On to step 1:
The number 68 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 68

On to step 2:
When dividing 12 by 68, we get 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 68

Moving on to step 3:
If we divide 129 by 68, we get 1 and a remainder of 61.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 68 from 129 to get 61.
Include the next digit (1) from the dividend after 61, then repeat: 611 / 68

Going ahead to step 4:
The number 68 fits into 611 8 times, leaving a remainder of 67.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtract 544 from 611 to get 67.
Include the next digit (2) from the dividend after 67, then repeat: 672 / 68

On to step 5:
The number 68 fits into 672 9 times, leaving a remainder of 60.
Write down 9 as next digit of the result. 
Result so far: 189.0
Subtracting 612 from 672 leaves us with 60.
Bring next digit (3) of the dividend behind the 60 and repeat the process: 603 / 68

Let's proceed to step 6:
The number 68 fits into 603 8 times, leaving a remainder of 59.
Use 8 as the next digit of our solution. 
Result so far: 1898.0
Subtract 544 from 603 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 7:
The number 68 fits into 590 8 times, leaving a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 1898.8
Deduct 544 from 590 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
If we divide 460 by 68, we get 6 and a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 1898.86
The remainder is 52 after subtracting 408 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 9:
If we divide 520 by 68, we get 7 and a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 1898.867
Subtract 476 from 520 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 10:
68 can be fit into 440 6 times, resulting in a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 1898.8676
If we subtract 408 from 440, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
68 can be fit into 320 4 times, resulting in a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 1898.86764
Deduct 272 from 320 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
When dividing 480 by 68, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 1898.867647
If we take 476 away from 480, we end up 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.

Let's proceed to step 13:
The number 68 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1898.867647
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 14:
If we divide 400 by 68, we get 5 and a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 1898.86764705
If we subtract 340 from 400, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 1898.86764705 and a remainder of 6e-08.