We look at the division of 581226 by 81 
We're looking to find how many times 81 goes into 581226.

On to step 1:
81 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 81

Moving on to step 2:
The number 81 fits into 58 0 times, leaving a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (1) from the dividend, attach it to 58 and continue: 581 / 81

Let's proceed to step 3:
581 divided by 81 is 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 567 from 581 leaves us with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 81

Let's proceed to step 4:
142 divided by 81 is 1 with a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 71.0
If we subtract 81 from 142, we get 61.
Bring next digit (2) of the dividend behind the 61 and repeat the process: 612 / 81

Let's proceed to step 5:
81 goes into 612 7 times with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 717.0
If we subtract 567 from 612, we get 45.
Bring next digit (6) of the dividend behind the 45 and repeat the process: 456 / 81

Going ahead to step 6:
81 can be fit into 456 5 times, resulting in a remainder of 51.
The number 5 becomes the next digit in our result. 
Result so far: 7175.0
Subtract 405 from 456 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 7:
When dividing 510 by 81, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 7175.6
The remainder is 24 after subtracting 486 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
The number 81 fits into 240 2 times, leaving a remainder of 78.
The number 2 becomes the next digit in our result. 
Result so far: 7175.62
Deduct 162 from 240 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 9:
81 can be fit into 780 9 times, resulting in a remainder of 51.
The next digit of our result is 9. 
Result so far: 7175.629
Deduct 729 from 780 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 10:
If we divide 510 by 81, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 7175.6296
The remainder is 24 after subtracting 486 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
The number 81 fits into 240 2 times, leaving a remainder of 78.
Write down 2 as next digit of the result. 
Result so far: 7175.62962
If we take 162 away from 240, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 12:
81 goes into 780 9 times with a remainder of 51.
The number 9 becomes the next digit in our result. 
Result so far: 7175.629629
If we subtract 729 from 780, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 13:
81 goes into 510 6 times with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 7175.6296296
If we subtract 486 from 510, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
81 goes into 240 2 times with a remainder of 78.
Record the quotient 2 as the next digit in the result. 
Result so far: 7175.62962962
If we subtract 162 from 240, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The quotient of the division is 7175.62962962, and the remainder is 7.8e-08.