We're dividing 582723 by 42 
We're looking to find how many times 42 goes into 582723.

Let's proceed to step 1:
42 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
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 42

Moving on to step 2:
If we divide 58 by 42, we get 1 and a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 42 from 58 to get 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 42

Going ahead to step 3:
42 goes into 162 3 times with a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 126 away from 162, we end up with 36.
Grab the next digit (7) from the dividend, add it to 36, then carry on: 367 / 42

Moving on to step 4:
42 can be fit into 367 8 times, resulting in a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
Subtract 336 from 367 to get 31.
Take the next digit (2) from the dividend and append it to 31, then repeat: 312 / 42

On to step 5:
The number 42 fits into 312 7 times, leaving a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 1387.0
Deduct 294 from 312 and we're left with 18.
Append the next digit (3) from the dividend to 18 and continue with: 183 / 42

Going ahead to step 6:
If we divide 183 by 42, we get 4 and a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 13874.0
If we take 168 away from 183, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
150 divided by 42 is 3 with a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 13874.3
If we take 126 away from 150, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
If we divide 240 by 42, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 13874.35
Deduct 210 from 240 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
When dividing 300 by 42, we get 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 13874.357
If we subtract 294 from 300, we 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.

Moving on to step 10:
If we divide 60 by 42, we get 1 and a remainder of 18.
The next digit of our result is 1. 
Result so far: 13874.3571
If we take 42 away from 60, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
When dividing 180 by 42, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 13874.35714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
If we divide 120 by 42, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 13874.357142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
42 goes into 360 8 times with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 13874.3571428
If we take 336 away from 360, we end up with 24.
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 14:
When dividing 240 by 42, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 13874.35714285
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 13874.35714285 with a remaining 3e-08.