We look at the division of 129601 by 78 
We want to figure out the number of times 129601 can be divided by 78.

Let's proceed to step 1:
1 divided by 78 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 78

Moving on to step 2:
The number 78 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 78

Let's proceed to step 3:
78 goes into 129 1 times with a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 78 from 129, we get 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 78

Going ahead to step 4:
78 can be fit into 516 6 times, resulting in a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 468 away from 516, we end up with 48.
Grab the next digit (0) from the dividend, add it to 48, then carry on: 480 / 78

Advancing to step 5:
If we divide 480 by 78, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 166.0
If we take 468 away from 480, we end up with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 78

Let's proceed to step 6:
When dividing 121 by 78, we get 1 with a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 1661.0
If we subtract 78 from 121, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
When dividing 430 by 78, we get 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 1661.5
The remainder is 40 after subtracting 390 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
78 can be fit into 400 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 1661.55
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 1661.55, with a leftover of 0.01.