41342279 divided by 583 
Our goal is to divide 41342279 by 583.

Advancing to step 1:
When dividing 4 by 583, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 583

Moving on to step 2:
583 can be fit into 41 0 times, resulting in a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 583

Advancing to step 3:
583 goes into 413 0 times with a remainder of 413.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 413 and we're left with 413.
Bring next digit (4) of the dividend behind the 413 and repeat the process: 4134 / 583

Step 4:
4134 divided by 583 is 7 with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 4081 from 4134 leaves us with 53.
Append the next digit (2) from the dividend to 53 and continue with: 532 / 583

Let's proceed to step 5:
The number 583 fits into 532 0 times, leaving a remainder of 532.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Deduct 0 from 532 and we're left with 532.
Fetch the next digit (2) from the dividend, attach it to 532 and continue: 5322 / 583

Advancing to step 6:
If we divide 5322 by 583, we get 9 and a remainder of 75.
Write down 9 as next digit of the result. 
Result so far: 709.0
Deduct 5247 from 5322 and we're left with 75.
Grab the next digit (7) from the dividend, add it to 75, then carry on: 757 / 583

Step 7:
When dividing 757 by 583, we get 1 with a remainder of 174.
Put 1 as the next digit of the answer. 
Result so far: 7091.0
The remainder is 174 after subtracting 583 from 757.
Grab the next digit (9) from the dividend, add it to 174, then carry on: 1749 / 583

Moving on to step 8:
1749 divided by 583 is 3 with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 70913.0
Subtract 1749 from 1749 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
When dividing 0 by 583, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 70913.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
The number 583 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 70913.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 70913.0 with a remaining 0.0.