434343 divided by 41 
We want to figure out the number of times 434343 can be divided by 41.

Let's proceed to step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 41

Advancing to step 2:
If we divide 43 by 41, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 41 away from 43, we end up with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 41

Advancing to step 3:
When dividing 24 by 41, we get 0 with a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 24, we end up with 24.
Bring next digit (3) of the dividend behind the 24 and repeat the process: 243 / 41

On to step 4:
If we divide 243 by 41, we get 5 and a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 105.0
If we subtract 205 from 243, we get 38.
Bring next digit (4) of the dividend behind the 38 and repeat the process: 384 / 41

Advancing to step 5:
41 goes into 384 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 1059.0
If we take 369 away from 384, we end up with 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 41

Let's proceed to step 6:
When dividing 153 by 41, we get 3 with a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 10593.0
If we subtract 123 from 153, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
300 divided by 41 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 10593.7
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 8:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 10593.73
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
If we divide 70 by 41, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 10593.731
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 10:
41 goes into 290 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 10593.7317
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
41 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 10593.7317
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
300 divided by 41 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 10593.731707
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 13:
When dividing 130 by 41, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 10593.7317073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
When dividing 70 by 41, we get 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 10593.73170731
Subtract 41 from 70 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 10593.73170731, with a leftover of 2.9e-08.