We look at the division of 41408289 by 583 
Let's see how many times 583 fits into 41408289.

Let's proceed to step 1:
The number 583 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 583

Moving on to step 2:
583 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 583

On to step 3:
The number 583 fits into 414 0 times, leaving a remainder of 414.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 414, we get 414.
Take the next digit (0) from the dividend and append it to 414, then repeat: 4140 / 583

Let's proceed to step 4:
If we divide 4140 by 583, we get 7 and a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 59 after subtracting 4081 from 4140.
Append the next digit (8) from the dividend to 59 and continue with: 598 / 583

Going ahead to step 5:
If we divide 598 by 583, we get 1 and a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Subtract 583 from 598 to get 15.
Take the next digit (2) from the dividend and append it to 15, then repeat: 152 / 583

Moving on to step 6:
152 divided by 583 is 0 with a remainder of 152.
Use 0 as the next digit of our solution. 
Result so far: 710.0
Deduct 0 from 152 and we're left with 152.
Grab the next digit (8) from the dividend, add it to 152, then carry on: 1528 / 583

Going ahead to step 7:
The number 583 fits into 1528 2 times, leaving a remainder of 362.
Use 2 as the next digit of our solution. 
Result so far: 7102.0
Subtracting 1166 from 1528 leaves us with 362.
Take the next digit (9) from the dividend and append it to 362, then repeat: 3629 / 583

Moving on to step 8:
The number 583 fits into 3629 6 times, leaving a remainder of 131.
Put 6 as the next digit of the answer. 
Result so far: 71026.0
If we take 3498 away from 3629, we end up with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

On to step 9:
When dividing 1310 by 583, we get 2 with a remainder of 144.
Write down 2 as next digit of the result. 
Result so far: 71026.2
The remainder is 144 after subtracting 1166 from 1310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Step 10:
When dividing 1440 by 583, we get 2 with a remainder of 274.
The number 2 becomes the next digit in our result. 
Result so far: 71026.22
If we subtract 1166 from 1440, we get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

The quotient of the division is 71026.22, and the remainder is 0.274.