351306 ÷ 41 
Our goal is to divide 351306 by 41.

Advancing to step 1:
41 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 41

Let's proceed to step 2:
35 divided by 41 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (1) from the dividend and append it to 35, then repeat: 351 / 41

On to step 3:
41 goes into 351 8 times with a remainder of 23.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 328 from 351 and we're left with 23.
Bring next digit (3) of the dividend behind the 23 and repeat the process: 233 / 41

Going ahead to step 4:
When dividing 233 by 41, we get 5 with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtracting 205 from 233 leaves us with 28.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 41

Going ahead to step 5:
If we divide 280 by 41, we get 6 and a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 856.0
Subtract 246 from 280 to get 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 41

Going ahead to step 6:
When dividing 346 by 41, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 8568.0
Deduct 328 from 346 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
The number 41 fits into 180 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 8568.4
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 41 fits into 160 3 times, leaving a remainder of 37.
The next digit of our result is 3. 
Result so far: 8568.43
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 9:
370 divided by 41 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 8568.439
Subtracting 369 from 370 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 41 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 8568.439
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
41 can be fit into 100 2 times, resulting in a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 8568.43902
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 12:
180 divided by 41 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 8568.439024
Subtracting 164 from 180 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
The number 41 fits into 160 3 times, leaving a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 8568.4390243
If we take 123 away from 160, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 14:
41 can be fit into 370 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8568.43902439
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 8568.43902439 and a remainder of 1e-09.