125953 ÷ 81 
Let's see how many times 81 fits into 125953.

Moving on to step 1:
The number 81 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 81

Let's proceed to step 2:
81 goes into 12 0 times with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 81

Step 3:
125 divided by 81 is 1 with a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 81 from 125 and we're left with 44.
Include the next digit (9) from the dividend after 44, then repeat: 449 / 81

Step 4:
449 divided by 81 is 5 with a remainder of 44.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 44 after subtracting 405 from 449.
Take the next digit (5) from the dividend and append it to 44, then repeat: 445 / 81

Moving on to step 5:
81 can be fit into 445 5 times, resulting in a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 155.0
If we take 405 away from 445, we end up with 40.
Grab the next digit (3) from the dividend, add it to 40, then carry on: 403 / 81

Let's proceed to step 6:
81 goes into 403 4 times with a remainder of 79.
The number 4 becomes the next digit in our result. 
Result so far: 1554.0
Subtract 324 from 403 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 7:
81 goes into 790 9 times with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 1554.9
Subtracting 729 from 790 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 8:
81 goes into 610 7 times with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 1554.97
The remainder is 43 after subtracting 567 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 9:
If we divide 430 by 81, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1554.975
If we take 405 away from 430, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
When dividing 250 by 81, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 1554.9753
If we take 243 away from 250, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
The number 81 fits into 70 0 times, leaving a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 1554.9753
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 12:
The number 81 fits into 700 8 times, leaving a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 1554.975308
Subtract 648 from 700 to get 52.
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 13:
81 goes into 520 6 times with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 1554.9753086
If we take 486 away from 520, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
81 goes into 340 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1554.97530864
If we subtract 324 from 340, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 1554.97530864 with a remainder of 1.6e-08.