41211344 ÷ 872 
Our goal is to divide 41211344 by 872.

On to step 1:
The number 872 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 872

Going ahead to step 2:
When dividing 41 by 872, we get 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Take the next digit (2) from the dividend and append it to 41, then repeat: 412 / 872

Let's proceed to step 3:
The number 872 fits into 412 0 times, leaving a remainder of 412.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 412 leaves us with 412.
Grab the next digit (1) from the dividend, add it to 412, then carry on: 4121 / 872

Advancing to step 4:
872 can be fit into 4121 4 times, resulting in a remainder of 633.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 3488 from 4121, we get 633.
Fetch the next digit (1) from the dividend, attach it to 633 and continue: 6331 / 872

Let's proceed to step 5:
If we divide 6331 by 872, we get 7 and a remainder of 227.
Use 7 as the next digit of our solution. 
Result so far: 47.0
Subtract 6104 from 6331 to get 227.
Grab the next digit (3) from the dividend, add it to 227, then carry on: 2273 / 872

Advancing to step 6:
2273 divided by 872 is 2 with a remainder of 529.
Use 2 as the next digit of our solution. 
Result so far: 472.0
Subtract 1744 from 2273 to get 529.
Append the next digit (4) from the dividend to 529 and continue with: 5294 / 872

Advancing to step 7:
872 can be fit into 5294 6 times, resulting in a remainder of 62.
The number 6 becomes the next digit in our result. 
Result so far: 4726.0
Subtracting 5232 from 5294 leaves us with 62.
Bring next digit (4) of the dividend behind the 62 and repeat the process: 624 / 872

Moving on to step 8:
872 goes into 624 0 times with a remainder of 624.
The number 0 becomes the next digit in our result. 
Result so far: 47260.0
Deduct 0 from 624 and we're left with 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

Going ahead to step 9:
The number 872 fits into 6240 7 times, leaving a remainder of 136.
Use 7 as the next digit of our solution. 
Result so far: 47260.7
If we take 6104 away from 6240, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

On to step 10:
The number 872 fits into 1360 1 times, leaving a remainder of 488.
The number 1 becomes the next digit in our result. 
Result so far: 47260.71
If we take 872 away from 1360, we end up with 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Advancing to step 11:
872 goes into 4880 5 times with a remainder of 520.
Use 5 as the next digit of our solution. 
Result so far: 47260.715
If we take 4360 away from 4880, we end up with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Step 12:
If we divide 5200 by 872, we get 5 and a remainder of 840.
The number 5 becomes the next digit in our result. 
Result so far: 47260.7155
The remainder is 840 after subtracting 4360 from 5200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8400, and continue the process.

After the division, we end up with 47260.7155 and a remainder of 0.0084.