We're dividing 743344 by 41 
We want to figure out the number of times 743344 can be divided by 41.

Let's proceed to step 1:
7 divided by 41 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 41

Advancing to step 2:
41 goes into 74 1 times with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 41 away from 74, we end up with 33.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 41

Step 3:
41 goes into 333 8 times with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we take 328 away from 333, we end up with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 41

Let's proceed to step 4:
41 can be fit into 53 1 times, resulting in a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 181.0
If we subtract 41 from 53, we get 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 41

Advancing to step 5:
When dividing 124 by 41, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 1813.0
Subtract 123 from 124 to get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 41

Going ahead to step 6:
14 divided by 41 is 0 with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 18130.0
The remainder is 14 after subtracting 0 from 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
The number 41 fits into 140 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 18130.3
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
The number 41 fits into 170 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 18130.34
If we subtract 164 from 170, 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.

Going ahead to step 9:
When dividing 60 by 41, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 18130.341
If we subtract 41 from 60, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 10:
41 goes into 190 4 times with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 18130.3414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
41 can be fit into 260 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 18130.34146
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
If we divide 140 by 41, we get 3 and a remainder of 17.
The next digit of our result is 3. 
Result so far: 18130.341463
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 13:
If we divide 170 by 41, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 18130.3414634
If we subtract 164 from 170, 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 14:
41 goes into 60 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 18130.34146341
Subtracting 41 from 60 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 18130.34146341 with a remaining 1.9e-08.