125545 ÷ 81 
We're looking to find how many times 81 goes into 125545.

Advancing to step 1:
When dividing 1 by 81, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 81

Moving on to step 2:
12 divided by 81 is 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 81

On to step 3:
If we divide 125 by 81, we get 1 and a remainder of 44.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 81 from 125 leaves us with 44.
Take the next digit (5) from the dividend and append it to 44, then repeat: 445 / 81

Going ahead to step 4:
The number 81 fits into 445 5 times, leaving a remainder of 40.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 405 from 445 and we're left with 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 81

Let's proceed to step 5:
When dividing 404 by 81, we get 4 with a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 154.0
Subtracting 324 from 404 leaves us with 80.
Grab the next digit (5) from the dividend, add it to 80, then carry on: 805 / 81

Step 6:
When dividing 805 by 81, we get 9 with a remainder of 76.
Record the quotient 9 as the next digit in the result. 
Result so far: 1549.0
Subtract 729 from 805 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 7:
When dividing 760 by 81, we get 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 1549.9
Subtract 729 from 760 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 8:
The number 81 fits into 310 3 times, leaving a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 1549.93
Subtracting 243 from 310 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 9:
81 can be fit into 670 8 times, resulting in a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 1549.938
If we subtract 648 from 670, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 10:
The number 81 fits into 220 2 times, leaving a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 1549.9382
Subtracting 162 from 220 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 11:
81 goes into 580 7 times with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 1549.93827
Deduct 567 from 580 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 12:
81 goes into 130 1 times with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 1549.938271
Subtract 81 from 130 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 13:
81 can be fit into 490 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1549.9382716
The remainder is 4 after subtracting 486 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
40 divided by 81 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1549.9382716
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.

Our division results in 1549.9382716 with a remaining 4e-08.