Let's divide 159218 by 81
We want to divide 159218 by 81.

On to step 1:
When dividing 1 by 81, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 81

Step 2:
15 divided by 81 is 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 81

Moving on to step 3:
159 divided by 81 is 1 with a remainder of 78.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 81 from 159 and we're left with 78.
Include the next digit (2) from the dividend after 78, then repeat: 782 / 81

On to step 4:
782 divided by 81 is 9 with a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 19.0
The remainder is 53 after subtracting 729 from 782.
Grab the next digit (1) from the dividend, add it to 53, then carry on: 531 / 81

Advancing to step 5:
531 divided by 81 is 6 with a remainder of 45.
The next digit of our result is 6. 
Result so far: 196.0
Subtracting 486 from 531 leaves us with 45.
Grab the next digit (8) from the dividend, add it to 45, then carry on: 458 / 81

Advancing to step 6:
When dividing 458 by 81, we get 5 with a remainder of 53.
Record the quotient 5 as the next digit in the result. 
Result so far: 1965.0
Deduct 405 from 458 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 7:
When dividing 530 by 81, we get 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 1965.6
Subtracting 486 from 530 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
If we divide 440 by 81, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 1965.65
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
The number 81 fits into 350 4 times, leaving a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 1965.654
If we take 324 away from 350, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
When dividing 260 by 81, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 1965.6543
Subtract 243 from 260 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 11:
81 can be fit into 170 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1965.65432
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
If we divide 80 by 81, we get 0 and a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 1965.65432
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 13:
If we divide 800 by 81, we get 9 and a remainder of 71.
The next digit of our result is 9. 
Result so far: 1965.6543209
If we subtract 729 from 800, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 14:
The number 81 fits into 710 8 times, leaving a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 1965.65432098
The remainder is 62 after subtracting 648 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

After the division, we end up with 1965.65432098 and a remainder of 6.2e-08.