We look at the division of 345443 by 41 
We're looking to find how many times 41 goes into 345443.

Going ahead to step 1:
3 divided by 41 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 41

On to step 2:
The number 41 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 41

Advancing to step 3:
When dividing 345 by 41, we get 8 with a remainder of 17.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 328 from 345 to get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 41

On to step 4:
174 divided by 41 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 84.0
Subtract 164 from 174 to get 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 41

Step 5:
41 goes into 104 2 times with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 842.0
Deduct 82 from 104 and we're left with 22.
Bring next digit (3) of the dividend behind the 22 and repeat the process: 223 / 41

Moving on to step 6:
The number 41 fits into 223 5 times, leaving a remainder of 18.
Put 5 as the next digit of the answer. 
Result so far: 8425.0
Deduct 205 from 223 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 8425.4
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
If we divide 160 by 41, we get 3 and a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 8425.43
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
When dividing 370 by 41, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 8425.439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
When dividing 10 by 41, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8425.439
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
41 goes into 100 2 times with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 8425.43902
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
180 divided by 41 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 8425.439024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
41 goes into 160 3 times with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 8425.4390243
If we take 123 away from 160, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 14:
370 divided by 41 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8425.43902439
Subtract 369 from 370 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 8425.43902439 with a balance of 1e-09.