536879 ÷ 81 
Our goal is to divide 536879 by 81.

Step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 81

Step 2:
53 divided by 81 is 0 with a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 53, we end up with 53.
Grab the next digit (6) from the dividend, add it to 53, then carry on: 536 / 81

Moving on to step 3:
81 can be fit into 536 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 486 from 536 and we're left with 50.
Append the next digit (8) from the dividend to 50 and continue with: 508 / 81

Advancing to step 4:
81 goes into 508 6 times with a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we take 486 away from 508, we end up with 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 81

Advancing to step 5:
When dividing 227 by 81, we get 2 with a remainder of 65.
The number 2 becomes the next digit in our result. 
Result so far: 662.0
Subtracting 162 from 227 leaves us with 65.
Take the next digit (9) from the dividend and append it to 65, then repeat: 659 / 81

Step 6:
If we divide 659 by 81, we get 8 and a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 6628.0
The remainder is 11 after subtracting 648 from 659.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
110 divided by 81 is 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 6628.1
Subtract 81 from 110 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
81 can be fit into 290 3 times, resulting in a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 6628.13
If we subtract 243 from 290, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 9:
If we divide 470 by 81, we get 5 and a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 6628.135
If we take 405 away from 470, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 10:
650 divided by 81 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 6628.1358
Subtracting 648 from 650 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
When dividing 20 by 81, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6628.1358
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
If we divide 200 by 81, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 6628.135802
Deduct 162 from 200 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 13:
81 can be fit into 380 4 times, resulting in a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 6628.1358024
Subtracting 324 from 380 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 14:
When dividing 560 by 81, we get 6 with a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 6628.13580246
Deduct 486 from 560 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The final outcome is 6628.13580246, with a leftover of 7.4e-08.