We're dividing 343472 by 41 
Our goal is to divide 343472 by 41.

On to step 1:
41 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
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

Going ahead to step 2:
41 goes into 34 0 times with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 41

Step 3:
When dividing 343 by 41, we get 8 with a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 328 away from 343, we end up with 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 41

Advancing to step 4:
154 divided by 41 is 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 83.0
Deduct 123 from 154 and we're left with 31.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 41

Advancing to step 5:
The number 41 fits into 317 7 times, leaving a remainder of 30.
Record the quotient 7 as the next digit in the result. 
Result so far: 837.0
If we subtract 287 from 317, we get 30.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 41

On to step 6:
When dividing 302 by 41, we get 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 8377.0
The remainder is 15 after subtracting 287 from 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
41 goes into 150 3 times with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 8377.3
Subtracting 123 from 150 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
The number 41 fits into 270 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 8377.36
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
41 can be fit into 240 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 8377.365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
The number 41 fits into 350 8 times, leaving a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 8377.3658
If we subtract 328 from 350, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 8377.36585
If we subtract 205 from 220, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
If we divide 150 by 41, we get 3 and a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 8377.365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
The number 41 fits into 270 6 times, leaving a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 8377.3658536
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
If we divide 240 by 41, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 8377.36585365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 8377.36585365 with a remaining 3.5e-08.