We're dividing 713669 by 41 
We want to divide 713669 by 41.

On to step 1:
The number 41 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 41

Let's proceed to step 2:
41 goes into 71 1 times with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 41 away from 71, we end up with 30.
Take the next digit (3) from the dividend and append it to 30, then repeat: 303 / 41

Advancing to step 3:
41 can be fit into 303 7 times, resulting in a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 287 away from 303, we end up with 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 41

Advancing to step 4:
41 goes into 166 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 174.0
Subtracting 164 from 166 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 41

On to step 5:
When dividing 26 by 41, we get 0 with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 1740.0
Subtract 0 from 26 to get 26.
Append the next digit (9) from the dividend to 26 and continue with: 269 / 41

Step 6:
If we divide 269 by 41, we get 6 and a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 17406.0
If we take 246 away from 269, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
The number 41 fits into 230 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 17406.5
Subtracting 205 from 230 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
250 divided by 41 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 17406.56
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 17406.56
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
The number 41 fits into 400 9 times, leaving a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 17406.5609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 11:
41 can be fit into 310 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 17406.56097
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 12:
If we divide 230 by 41, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 17406.560975
If we subtract 205 from 230, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 13:
When dividing 250 by 41, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 17406.5609756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 17406.5609756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 17406.5609756 with a balance of 4e-08.