We're dividing 753709 by 41 
We want to divide 753709 by 41.

On to step 1:
When dividing 7 by 41, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 41

On to step 2:
When dividing 75 by 41, we get 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 34 after subtracting 41 from 75.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 41

Moving on to step 3:
41 can be fit into 343 8 times, resulting in a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we subtract 328 from 343, we get 15.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 41

Going ahead to step 4:
The number 41 fits into 157 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 183.0
If we subtract 123 from 157, we get 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 41

Moving on to step 5:
When dividing 340 by 41, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1838.0
Subtracting 328 from 340 leaves us with 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 41

Step 6:
41 can be fit into 129 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 18383.0
If we subtract 123 from 129, 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 7:
If we divide 60 by 41, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 18383.1
Subtract 41 from 60 to 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.

Moving on to step 8:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 18383.14
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
The number 41 fits into 260 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 18383.146
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
41 can be fit into 140 3 times, resulting in a remainder of 17.
The next digit of our result is 3. 
Result so far: 18383.1463
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.

Advancing to step 11:
When dividing 170 by 41, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 18383.14634
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
The number 41 fits into 60 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 18383.146341
If we take 41 away from 60, we end up 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.

Let's proceed to step 13:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 18383.1463414
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 14:
41 goes into 260 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 18383.14634146
If we take 246 away from 260, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 18383.14634146 with a balance of 1.4e-08.