We look at the division of 537379 by 81 
We want to divide 537379 by 81.

Advancing to step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 81

Moving on to step 2:
53 divided by 81 is 0 with a remainder of 53.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 53, we get 53.
Include the next digit (7) from the dividend after 53, then repeat: 537 / 81

Advancing to step 3:
When dividing 537 by 81, we get 6 with a remainder of 51.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 486 from 537, we get 51.
Bring next digit (3) of the dividend behind the 51 and repeat the process: 513 / 81

Advancing to step 4:
513 divided by 81 is 6 with a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 66.0
The remainder is 27 after subtracting 486 from 513.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 81

Moving on to step 5:
When dividing 277 by 81, we get 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 663.0
Subtracting 243 from 277 leaves us with 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 81

Advancing to step 6:
The number 81 fits into 349 4 times, leaving a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 6634.0
If we take 324 away from 349, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
If we divide 250 by 81, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 6634.3
If we take 243 away from 250, we end up with 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 8:
If we divide 70 by 81, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 6634.3
Deduct 0 from 70 and we're left 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.

Going ahead to step 9:
When dividing 700 by 81, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 6634.308
The remainder is 52 after subtracting 648 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
When dividing 520 by 81, we get 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 6634.3086
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.

Step 11:
81 goes into 340 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 6634.30864
If we take 324 away from 340, we end up with 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 12:
81 goes into 160 1 times with a remainder of 79.
Record the quotient 1 as the next digit in the result. 
Result so far: 6634.308641
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.

Moving on to step 13:
81 can be fit into 790 9 times, resulting in a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 6634.3086419
Subtract 729 from 790 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 14:
81 goes into 610 7 times with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 6634.30864197
Deduct 567 from 610 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final outcome is 6634.30864197, with a leftover of 4.3e-08.