Let's divide 343025 by 41
We want to divide 343025 by 41.

Step 1:
When dividing 3 by 41, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 41

Going ahead 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
If we subtract 0 from 34, we get 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 41

Moving on to step 3:
If we divide 343 by 41, we get 8 and a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 15 after subtracting 328 from 343.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 41

Step 4:
41 goes into 150 3 times with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 83.0
The remainder is 27 after subtracting 123 from 150.
Include the next digit (2) from the dividend after 27, then repeat: 272 / 41

On to step 5:
41 goes into 272 6 times with a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 836.0
Subtract 246 from 272 to get 26.
Bring next digit (5) of the dividend behind the 26 and repeat the process: 265 / 41

Step 6:
41 goes into 265 6 times with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 8366.0
Deduct 246 from 265 and we're left 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.

Advancing to step 7:
190 divided by 41 is 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 8366.4
Subtracting 164 from 190 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
260 divided by 41 is 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 8366.46
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
When dividing 140 by 41, we get 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 8366.463
Deduct 123 from 140 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
If we divide 170 by 41, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 8366.4634
Subtracting 164 from 170 leaves us 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.

Let's proceed to step 11:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 8366.46341
Deduct 41 from 60 and we're left 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.

On to step 12:
If we divide 190 by 41, we get 4 and a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 8366.463414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 13:
When dividing 260 by 41, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 8366.4634146
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.

Step 14:
140 divided by 41 is 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 8366.46341463
Deduct 123 from 140 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 8366.46341463, and the remainder is 1.7e-08.