578122 ÷ 81 
We want to figure out the number of times 578122 can be divided by 81.

Advancing to step 1:
81 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 81

Going ahead to step 2:
57 divided by 81 is 0 with a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Grab the next digit (8) from the dividend, add it to 57, then carry on: 578 / 81

Moving on to step 3:
81 goes into 578 7 times with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 11 after subtracting 567 from 578.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 81

On to step 4:
81 can be fit into 111 1 times, resulting in a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 30 after subtracting 81 from 111.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 81

Step 5:
81 can be fit into 302 3 times, resulting in a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 713.0
Deduct 243 from 302 and we're left with 59.
Include the next digit (2) from the dividend after 59, then repeat: 592 / 81

Step 6:
81 can be fit into 592 7 times, resulting in a remainder of 25.
The next digit of our result is 7. 
Result so far: 7137.0
If we subtract 567 from 592, we get 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:
250 divided by 81 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 7137.3
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:
70 divided by 81 is 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 7137.3
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:
The number 81 fits into 700 8 times, leaving a remainder of 52.
The next digit of our result is 8. 
Result so far: 7137.308
Subtracting 648 from 700 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 10:
520 divided by 81 is 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 7137.3086
Subtracting 486 from 520 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
The number 81 fits into 340 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 7137.30864
Deduct 324 from 340 and we're left 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.

Going ahead 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: 7137.308641
Deduct 81 from 160 and we're left 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.

Step 13:
790 divided by 81 is 9 with a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 7137.3086419
Subtracting 729 from 790 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 14:
When dividing 610 by 81, we get 7 with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 7137.30864197
Subtracting 567 from 610 leaves us 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.

After the division, we end up with 7137.30864197 and a remainder of 4.3e-08.