We look at the division of 585123 by 81 
We're looking to find how many times 81 goes into 585123.

Let's proceed to step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 81

Advancing to step 2:
When dividing 58 by 81, we get 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 81

Advancing to step 3:
The number 81 fits into 585 7 times, leaving a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 567 from 585, we get 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 81

On to step 4:
If we divide 181 by 81, we get 2 and a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 72.0
Subtract 162 from 181 to get 19.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 81

Going ahead to step 5:
81 goes into 192 2 times with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 722.0
Subtracting 162 from 192 leaves us with 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 81

Advancing to step 6:
81 can be fit into 303 3 times, resulting in a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 7223.0
If we take 243 away from 303, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 7:
600 divided by 81 is 7 with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 7223.7
Subtract 567 from 600 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 8:
The number 81 fits into 330 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 7223.74
Subtract 324 from 330 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
When dividing 60 by 81, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 7223.74
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 10:
81 can be fit into 600 7 times, resulting in a remainder of 33.
The next digit of our result is 7. 
Result so far: 7223.7407
If we take 567 away from 600, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 11:
81 can be fit into 330 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 7223.74074
Subtracting 324 from 330 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
81 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 7223.74074
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
When dividing 600 by 81, we get 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 7223.7407407
Deduct 567 from 600 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 14:
81 can be fit into 330 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 7223.74074074
Subtracting 324 from 330 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 7223.74074074 and a remainder of 6e-09.