We look at the division of 125601 by 81 
Let's see how many times 81 fits into 125601.

Advancing to step 1:
81 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
Subtract 0 from 1 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 81

Going ahead to step 2:
81 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 81

Advancing to step 3:
If we divide 125 by 81, we get 1 and a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 44 after subtracting 81 from 125.
Bring next digit (6) of the dividend behind the 44 and repeat the process: 446 / 81

Going ahead to step 4:
When dividing 446 by 81, we get 5 with a remainder of 41.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 405 from 446, we get 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 81

Step 5:
When dividing 410 by 81, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 155.0
Subtracting 405 from 410 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 81

Let's proceed to step 6:
The number 81 fits into 51 0 times, leaving a remainder of 51.
The next digit of our result is 0. 
Result so far: 1550.0
If we take 0 away from 51, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 7:
If we divide 510 by 81, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 1550.6
If we subtract 486 from 510, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
The number 81 fits into 240 2 times, leaving a remainder of 78.
The number 2 becomes the next digit in our result. 
Result so far: 1550.62
If we take 162 away from 240, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 9:
780 divided by 81 is 9 with a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 1550.629
Subtracting 729 from 780 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 10:
510 divided by 81 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 1550.6296
Deduct 486 from 510 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
The number 81 fits into 240 2 times, leaving a remainder of 78.
Put 2 as the next digit of the answer. 
Result so far: 1550.62962
Subtracting 162 from 240 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 12:
If we divide 780 by 81, we get 9 and a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 1550.629629
Subtracting 729 from 780 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 13:
If we divide 510 by 81, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 1550.6296296
Deduct 486 from 510 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
240 divided by 81 is 2 with a remainder of 78.
Record the quotient 2 as the next digit in the result. 
Result so far: 1550.62962962
Deduct 162 from 240 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Our division results in 1550.62962962 with a remaining 7.8e-08.