We look at the division of 12562 by 81 
We want to divide 12562 by 81.

Let's proceed to step 1:
If we divide 1 by 81, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 81

Advancing to step 2:
The number 81 fits into 12 0 times, leaving 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.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 81

On to step 3:
The number 81 fits into 125 1 times, leaving a remainder of 44.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 81 from 125, we get 44.
Fetch the next digit (6) from the dividend, attach it to 44 and continue: 446 / 81

Going ahead to step 4:
The number 81 fits into 446 5 times, leaving a remainder of 41.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 405 from 446 and we're left with 41.
Fetch the next digit (2) from the dividend, attach it to 41 and continue: 412 / 81

On to step 5:
The number 81 fits into 412 5 times, leaving a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 155.0
Subtract 405 from 412 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
When dividing 70 by 81, we get 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 155.0
Subtracting 0 from 70 leaves us with 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 7:
The number 81 fits into 700 8 times, leaving a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 155.08
If we take 648 away from 700, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
81 goes into 520 6 times with a remainder of 34.
The next digit of our result is 6. 
Result so far: 155.086
The remainder is 34 after subtracting 486 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 9:
The number 81 fits into 340 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 155.0864
Subtract 324 from 340 to 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.

Moving on to step 10:
81 can be fit into 160 1 times, resulting in a remainder of 79.
Put 1 as the next digit of the answer. 
Result so far: 155.08641
If we take 81 away from 160, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 11:
81 goes into 790 9 times with a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 155.086419
If we take 729 away from 790, we end up 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.

Going ahead to step 12:
The number 81 fits into 610 7 times, leaving a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 155.0864197
Subtract 567 from 610 to 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.

Moving on to step 13:
430 divided by 81 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 155.08641975
If we subtract 405 from 430, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 155.08641975, and the remainder is 2.5e-08.