We're dividing 109770 by 81 
We want to figure out the number of times 109770 can be divided by 81.

Let's proceed to step 1:
If we divide 1 by 81, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 81

Advancing 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
Subtracting 0 from 10 leaves us with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 81

On to step 3:
81 can be fit into 109 1 times, resulting in a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 81 away from 109, we end up with 28.
Fetch the next digit (7) from the dividend, attach it to 28 and continue: 287 / 81

Advancing to step 4:
If we divide 287 by 81, we get 3 and a remainder of 44.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 243 from 287 leaves us with 44.
Grab the next digit (7) from the dividend, add it to 44, then carry on: 447 / 81

On to step 5:
The number 81 fits into 447 5 times, leaving a remainder of 42.
Write down 5 as next digit of the result. 
Result so far: 135.0
If we take 405 away from 447, we end up with 42.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 81

Step 6:
When dividing 420 by 81, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 1355.0
Subtract 405 from 420 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
If we divide 150 by 81, we get 1 and a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 1355.1
If we take 81 away from 150, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 8:
When dividing 690 by 81, we get 8 with a remainder of 42.
The next digit of our result is 8. 
Result so far: 1355.18
Deduct 648 from 690 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
The number 81 fits into 420 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 1355.185
The remainder is 15 after subtracting 405 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
When dividing 150 by 81, we get 1 with a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 1355.1851
Subtracting 81 from 150 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 11:
If we divide 690 by 81, we get 8 and a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 1355.18518
Deduct 648 from 690 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
The number 81 fits into 420 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 1355.185185
If we subtract 405 from 420, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
When dividing 150 by 81, we get 1 with a remainder of 69.
The next digit of our result is 1. 
Result so far: 1355.1851851
The remainder is 69 after subtracting 81 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 14:
81 goes into 690 8 times with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 1355.18518518
If we subtract 648 from 690, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 1355.18518518 with a remainder of 4.2e-08.