We're dividing 340966 by 7 
We're looking to find how many times 7 goes into 340966.

Going ahead to 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
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 7

Let's proceed to step 2:
If we divide 34 by 7, we get 4 and 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.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 7

Step 3:
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: 48.0
The remainder is 4 after subtracting 56 from 60.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 7

Step 4:
49 divided by 7 is 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 487.0
Subtract 49 from 49 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 7

Going ahead to step 5:
The number 7 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 4870.0
If we subtract 0 from 6, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 7

Let's proceed to step 6:
When dividing 66 by 7, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 48709.0
Subtract 63 from 66 to 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.

Moving on to step 7:
30 divided by 7 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 48709.4
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
When dividing 20 by 7, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 48709.42
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
If we divide 60 by 7, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 48709.428
Subtracting 56 from 60 leaves us with 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 10:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 48709.4285
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.

Moving on to step 11:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 48709.42857
Subtracting 49 from 50 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.

Moving on to step 12:
If we divide 10 by 7, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 48709.428571
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.

Going ahead to step 13:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 48709.4285714
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
7 goes into 20 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 48709.42857142
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 48709.42857142, with a leftover of 6e-09.