434128 divided by 7 
We want to figure out the number of times 434128 can be divided by 7.

Advancing to step 1:
If we divide 4 by 7, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 7

Advancing to step 2:
43 divided by 7 is 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 42 away from 43, we end up with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 7

Let's proceed to step 3:
If we divide 14 by 7, we get 2 and a remainder of 0.
The next digit of our result is 2. 
Result so far: 62.0
Deduct 14 from 14 and we're left with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 7

Moving on to step 4:
7 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 620.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 7

Let's proceed to step 5:
12 divided by 7 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 6201.0
Subtracting 7 from 12 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 7

Step 6:
7 can be fit into 58 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 62018.0
Deduct 56 from 58 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.

On to step 7:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 62018.2
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.

Moving on to step 8:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 62018.28
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.

Let's proceed to step 9:
If we divide 40 by 7, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 62018.285
Deduct 35 from 40 and we're left 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 10:
If we divide 50 by 7, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 62018.2857
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.

Moving on to step 11:
When dividing 10 by 7, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 62018.28571
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.

Let's proceed to step 12:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 62018.285714
Subtract 28 from 30 to get 2.
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 13:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 62018.2857142
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.

Moving on to step 14:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 62018.28571428
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.

After the division, we end up with 62018.28571428 and a remainder of 4e-09.