Let's divide 585713 by 81
We want to divide 585713 by 81.

Step 1:
If we divide 5 by 81, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 81

On to step 2:
81 can be fit into 58 0 times, resulting in a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Include the next digit (5) from the dividend after 58, then repeat: 585 / 81

Advancing to step 3:
When dividing 585 by 81, we get 7 with a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 567 away from 585, we end up with 18.
Append the next digit (7) from the dividend to 18 and continue with: 187 / 81

Step 4:
81 can be fit into 187 2 times, resulting in a remainder of 25.
The next digit of our result is 2. 
Result so far: 72.0
Subtract 162 from 187 to get 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 81

Moving on to step 5:
The number 81 fits into 251 3 times, leaving a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 723.0
If we take 243 away from 251, we end up with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 81

Going ahead to step 6:
When dividing 83 by 81, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 7231.0
Subtracting 81 from 83 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 81, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 7231.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 81, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 7231.02
Deduct 162 from 200 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
If we divide 380 by 81, we get 4 and a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 7231.024
The remainder is 56 after subtracting 324 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 10:
81 can be fit into 560 6 times, resulting in a remainder of 74.
The next digit of our result is 6. 
Result so far: 7231.0246
The remainder is 74 after subtracting 486 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 11:
The number 81 fits into 740 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 7231.02469
The remainder is 11 after subtracting 729 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 12:
81 can be fit into 110 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 7231.024691
If we subtract 81 from 110, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 13:
When dividing 290 by 81, we get 3 with a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 7231.0246913
Deduct 243 from 290 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 14:
The number 81 fits into 470 5 times, leaving a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 7231.02469135
Subtract 405 from 470 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 7231.02469135 with a remainder of 6.5e-08.