We look at the division of 34306 by 7 
We're looking to find how many times 7 goes into 34306.

Let's proceed to step 1:
The number 7 fits into 3 0 times, leaving 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.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 7

Moving on to step 2:
When dividing 34 by 7, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 28 from 34, we get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 7

Moving on to step 3:
If we divide 63 by 7, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we take 63 away from 63, we end up with 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 7

Advancing to step 4:
The number 7 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 490.0
If we take 0 away from 0, we end up with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 7

Advancing to step 5:
6 divided by 7 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 4900.0
If we subtract 0 from 6, 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.

Let's proceed to step 6:
60 divided by 7 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 4900.8
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.

Step 7:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 4900.85
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.

Let's proceed to step 8:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 4900.857
If we subtract 49 from 50, we 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.

Let's proceed to step 9:
If we divide 10 by 7, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 4900.8571
Deduct 7 from 10 and we're left 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.

On to step 10:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 4900.85714
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.

On to step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 4900.857142
If we take 14 away from 20, we end up 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.

Going ahead to step 12:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 4900.8571428
If we take 56 away from 60, we end up 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.

Going ahead to step 13:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4900.85714285
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.

The final result is 4900.85714285 with a remainder of 5e-09.