We look at the division of 41144888 by 943 
We want to figure out the number of times 41144888 can be divided by 943.

Advancing to step 1:
943 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 943

Going ahead to step 2:
The number 943 fits into 41 0 times, leaving 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.
Bring next digit (1) of the dividend behind the 41 and repeat the process: 411 / 943

Let's proceed to step 3:
411 divided by 943 is 0 with a remainder of 411.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 411, we end up with 411.
Include the next digit (4) from the dividend after 411, then repeat: 4114 / 943

Advancing to step 4:
4114 divided by 943 is 4 with a remainder of 342.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 3772 from 4114 leaves us with 342.
Fetch the next digit (4) from the dividend, attach it to 342 and continue: 3424 / 943

Going ahead to step 5:
943 can be fit into 3424 3 times, resulting in a remainder of 595.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Deduct 2829 from 3424 and we're left with 595.
Bring next digit (8) of the dividend behind the 595 and repeat the process: 5958 / 943

On to step 6:
The number 943 fits into 5958 6 times, leaving a remainder of 300.
Use 6 as the next digit of our solution. 
Result so far: 436.0
The remainder is 300 after subtracting 5658 from 5958.
Bring next digit (8) of the dividend behind the 300 and repeat the process: 3008 / 943

Advancing to step 7:
943 can be fit into 3008 3 times, resulting in a remainder of 179.
Write down 3 as next digit of the result. 
Result so far: 4363.0
Subtracting 2829 from 3008 leaves us with 179.
Grab the next digit (8) from the dividend, add it to 179, then carry on: 1798 / 943

Moving on to step 8:
The number 943 fits into 1798 1 times, leaving a remainder of 855.
The number 1 becomes the next digit in our result. 
Result so far: 43631.0
Subtract 943 from 1798 to get 855.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8550, and continue the process.

Going ahead to step 9:
8550 divided by 943 is 9 with a remainder of 63.
Write down 9 as next digit of the result. 
Result so far: 43631.9
If we subtract 8487 from 8550, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 10:
If we divide 630 by 943, we get 0 and a remainder of 630.
The next digit of our result is 0. 
Result so far: 43631.9
The remainder is 630 after subtracting 0 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Moving on to step 11:
943 can be fit into 6300 6 times, resulting in a remainder of 642.
Write down 6 as next digit of the result. 
Result so far: 43631.906
The remainder is 642 after subtracting 5658 from 6300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Advancing to step 12:
The number 943 fits into 6420 6 times, leaving a remainder of 762.
Use 6 as the next digit of our solution. 
Result so far: 43631.9066
Subtract 5658 from 6420 to get 762.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7620, and continue the process.

The quotient of the division is 43631.9066, and the remainder is 0.00762.