341409 divided by 7 
Our goal is to divide 341409 by 7.

Step 1:
7 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 7

Moving on to step 2:
34 divided by 7 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 28 away from 34, we end up with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 7

Let's proceed to step 3:
7 can be fit into 61 8 times, resulting in a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 48.0
Subtracting 56 from 61 leaves us with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 7

Advancing to step 4:
If we divide 54 by 7, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 487.0
The remainder is 5 after subtracting 49 from 54.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 7

On to step 5:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 4877.0
The remainder is 1 after subtracting 49 from 50.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 7

Moving on to step 6:
If we divide 19 by 7, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 48772.0
The remainder is 5 after subtracting 14 from 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
If we divide 50 by 7, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 48772.7
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 48772.71
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
7 goes into 30 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 48772.714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
20 divided by 7 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 48772.7142
Deduct 14 from 20 and we're left 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.

Moving on to step 11:
7 can be fit into 60 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 48772.71428
Subtract 56 from 60 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.

On to step 12:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 48772.714285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 48772.7142857
Deduct 49 from 50 and we're left 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.

Moving on to step 14:
The number 7 fits into 10 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 48772.71428571
If we subtract 7 from 10, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 48772.71428571 with a remainder of 3e-09.