We look at the division of 349507 by 7 
We want to figure out the number of times 349507 can be divided by 7.

Advancing to step 1:
7 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
Subtracting 0 from 3 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 7

Moving on to step 2:
7 goes into 34 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 6 after subtracting 28 from 34.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 7

Moving on to step 3:
The number 7 fits into 69 9 times, leaving a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Subtract 63 from 69 to get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 7

Moving on to step 4:
7 goes into 65 9 times with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 499.0
Subtract 63 from 65 to get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 7

Moving on to step 5:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 4992.0
If we take 14 away from 20, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 7

Moving on to step 6:
7 can be fit into 67 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 49929.0
Subtracting 63 from 67 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 7:
7 goes into 40 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 49929.5
Subtract 35 from 40 to get 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 8:
50 divided by 7 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 49929.57
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.

Going ahead to step 9:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 49929.571
If we take 7 away from 10, we end up with 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 10:
7 goes into 30 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 49929.5714
If we take 28 away from 30, we end up 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.

Step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 49929.57142
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.

Advancing to step 12:
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: 49929.571428
The remainder is 4 after subtracting 56 from 60.
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 13:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 49929.5714285
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 14:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 49929.57142857
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.

The final result is 49929.57142857 with a remainder of 1e-09.