We're dividing 578141 by 81 
We want to figure out the number of times 578141 can be divided by 81.

On to step 1:
If we divide 5 by 81, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 81

Moving on to step 2:
When dividing 57 by 81, we get 0 with a remainder of 57.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Take the next digit (8) from the dividend and append it to 57, then repeat: 578 / 81

Moving on to step 3:
If we divide 578 by 81, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 567 from 578, we get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 81

Let's proceed to step 4:
If we divide 111 by 81, we get 1 and a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 71.0
The remainder is 30 after subtracting 81 from 111.
Append the next digit (4) from the dividend to 30 and continue with: 304 / 81

Let's proceed to step 5:
81 can be fit into 304 3 times, resulting in a remainder of 61.
Use 3 as the next digit of our solution. 
Result so far: 713.0
Deduct 243 from 304 and we're left with 61.
Grab the next digit (1) from the dividend, add it to 61, then carry on: 611 / 81

Let's proceed to step 6:
When dividing 611 by 81, we get 7 with a remainder of 44.
The next digit of our result is 7. 
Result so far: 7137.0
The remainder is 44 after subtracting 567 from 611.
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 7:
81 can be fit into 440 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 7137.5
If we take 405 away from 440, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 81, we get 4 and a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 7137.54
Subtracting 324 from 350 leaves us 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.

Advancing to step 9:
The number 81 fits into 260 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 7137.543
Subtracting 243 from 260 leaves us with 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 10:
If we divide 170 by 81, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 7137.5432
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.

Moving on to step 11:
The number 81 fits into 80 0 times, leaving a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 7137.5432
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.

Step 12:
When dividing 800 by 81, we get 9 with a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 7137.543209
If we take 729 away from 800, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 13:
710 divided by 81 is 8 with a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 7137.5432098
Subtracting 648 from 710 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 14:
620 divided by 81 is 7 with a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 7137.54320987
Subtract 567 from 620 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

After the division, we end up with 7137.54320987 and a remainder of 5.3e-08.