We're dividing 586774 by 81 
Let's see how many times 81 fits into 586774.

Going ahead to step 1:
81 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 81

On to step 2:
The number 81 fits into 58 0 times, leaving a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 81

Going ahead to step 3:
The number 81 fits into 586 7 times, leaving a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 567 from 586 leaves us with 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 81

Moving on to step 4:
197 divided by 81 is 2 with a remainder of 35.
The next digit of our result is 2. 
Result so far: 72.0
If we take 162 away from 197, we end up with 35.
Take the next digit (7) from the dividend and append it to 35, then repeat: 357 / 81

Step 5:
81 can be fit into 357 4 times, resulting in a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 724.0
Deduct 324 from 357 and we're left with 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 81

Going ahead to step 6:
334 divided by 81 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 7244.0
Deduct 324 from 334 and we're left with 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 7:
When dividing 100 by 81, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 7244.1
If we take 81 away from 100, we end up 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 8:
190 divided by 81 is 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 7244.12
Subtract 162 from 190 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
If we divide 280 by 81, we get 3 and a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 7244.123
The remainder is 37 after subtracting 243 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 10:
The number 81 fits into 370 4 times, leaving a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 7244.1234
Subtracting 324 from 370 leaves us with 46.
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 11:
460 divided by 81 is 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 7244.12345
Subtract 405 from 460 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
81 can be fit into 550 6 times, resulting in a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 7244.123456
If we take 486 away from 550, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 13:
640 divided by 81 is 7 with a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 7244.1234567
If we take 567 away from 640, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 14:
The number 81 fits into 730 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 7244.12345679
Subtract 729 from 730 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 7244.12345679 with a remaining 1e-09.