100801 ÷ 81 
We're looking to find how many times 81 goes into 100801.

Going ahead to step 1:
81 can be fit into 1 0 times, resulting in 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.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 81

Let's proceed to step 2:
When dividing 10 by 81, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 81

Moving on to step 3:
81 can be fit into 100 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 81 from 100, we get 19.
Take the next digit (8) from the dividend and append it to 19, then repeat: 198 / 81

Going ahead to step 4:
81 goes into 198 2 times with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 162 from 198 to get 36.
Take the next digit (0) from the dividend and append it to 36, then repeat: 360 / 81

Going ahead to step 5:
81 goes into 360 4 times with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 124.0
Deduct 324 from 360 and we're left with 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 81

Going ahead to step 6:
81 goes into 361 4 times with a remainder of 37.
The next digit of our result is 4. 
Result so far: 1244.0
If we subtract 324 from 361, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
370 divided by 81 is 4 with a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 1244.4
The remainder is 46 after subtracting 324 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
The number 81 fits into 460 5 times, leaving a remainder of 55.
The next digit of our result is 5. 
Result so far: 1244.45
Subtracting 405 from 460 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 9:
550 divided by 81 is 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 1244.456
Subtracting 486 from 550 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 10:
81 can be fit into 640 7 times, resulting in a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 1244.4567
Subtract 567 from 640 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 11:
When dividing 730 by 81, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 1244.45679
If we subtract 729 from 730, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
10 divided by 81 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1244.45679
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
When dividing 100 by 81, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1244.4567901
If we subtract 81 from 100, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 14:
The number 81 fits into 190 2 times, leaving a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 1244.45679012
If we take 162 away from 190, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 1244.45679012 with a remaining 2.8e-08.