We look at the division of 528434 by 7 
Let's see how many times 7 fits into 528434.

Moving on to step 1:
The number 7 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 7

Let's proceed to step 2:
If we divide 52 by 7, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 49 from 52 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 7

Advancing to step 3:
7 can be fit into 38 5 times, resulting in a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we subtract 35 from 38, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 7

Going ahead to step 4:
When dividing 34 by 7, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 754.0
The remainder is 6 after subtracting 28 from 34.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 7

On to step 5:
63 divided by 7 is 9 with a remainder of 0.
The next digit of our result is 9. 
Result so far: 7549.0
Deduct 63 from 63 and we're left with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 7

Step 6:
When dividing 4 by 7, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 75490.0
The remainder is 4 after subtracting 0 from 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.
The next digit of our result is 5. 
Result so far: 75490.5
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.

Advancing to step 8:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 75490.57
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.

Going ahead to step 9:
10 divided by 7 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 75490.571
If we subtract 7 from 10, we 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.

Advancing to step 10:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 75490.5714
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.

Step 11:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 75490.57142
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.

Going ahead to step 12:
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: 75490.571428
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.

Advancing to step 13:
40 divided by 7 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 75490.5714285
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.

Going ahead to step 14:
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: 75490.57142857
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.

Our division results in 75490.57142857 with a remaining 1e-09.