We're dividing 6238 by 81 
We want to figure out the number of times 6238 can be divided by 81.

Advancing to step 1:
6 divided by 81 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 81

Moving on to step 2:
When dividing 62 by 81, we get 0 with a remainder of 62.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Fetch the next digit (3) from the dividend, attach it to 62 and continue: 623 / 81

Step 3:
81 can be fit into 623 7 times, resulting in a remainder of 56.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 567 from 623 to get 56.
Fetch the next digit (8) from the dividend, attach it to 56 and continue: 568 / 81

Step 4:
When dividing 568 by 81, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
If we take 567 away from 568, we end up with 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 5:
If we divide 10 by 81, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 77.0
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 6:
If we divide 100 by 81, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 77.01
Subtracting 81 from 100 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
When dividing 190 by 81, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 77.012
The remainder is 28 after subtracting 162 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
81 can be fit into 280 3 times, resulting in a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 77.0123
If we subtract 243 from 280, 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.

Let's proceed to step 9:
If we divide 370 by 81, we get 4 and a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 77.01234
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 10:
The number 81 fits into 460 5 times, leaving a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 77.012345
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.

Going ahead to step 11:
550 divided by 81 is 6 with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 77.0123456
Subtract 486 from 550 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 12:
The number 81 fits into 640 7 times, leaving a remainder of 73.
Record the quotient 7 as the next digit in the result. 
Result so far: 77.01234567
The remainder is 73 after subtracting 567 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

In conclusion, the division gives 77.01234567 with a balance of 7.3e-08.