340434 ÷ 7 
Let's see how many times 7 fits into 340434.

Advancing 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
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 7

Let's proceed to step 2:
If we divide 34 by 7, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 28 from 34 leaves us with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 7

Moving on to step 3:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 48.0
Subtract 56 from 60 to get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 7

Let's proceed to step 4:
44 divided by 7 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 486.0
If we take 42 away from 44, we end up with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 7

Going ahead to step 5:
7 can be fit into 23 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 4863.0
Deduct 21 from 23 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 7

Moving on to step 6:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 48633.0
Subtract 21 from 24 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.

On to step 7:
7 goes into 30 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 48633.4
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.

Moving on to step 8:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 48633.42
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.

Going ahead to step 9:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 48633.428
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.

Going ahead to step 10:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 48633.4285
The remainder is 5 after subtracting 35 from 40.
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 11:
50 divided by 7 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 48633.42857
The remainder is 1 after subtracting 49 from 50.
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 12:
10 divided by 7 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 48633.428571
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.

Step 13:
When dividing 30 by 7, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 48633.4285714
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.

Going ahead to step 14:
If we divide 20 by 7, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 48633.42857142
Subtract 14 from 20 to 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.

Our division results in 48633.42857142 with a remaining 6e-09.