We look at the division of 435828 by 71 
Our goal is to divide 435828 by 71.

Moving on to step 1:
4 divided by 71 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 71

Step 2:
If we divide 43 by 71, we get 0 and a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Bring next digit (5) of the dividend behind the 43 and repeat the process: 435 / 71

Advancing to step 3:
71 can be fit into 435 6 times, resulting in a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 426 from 435 to get 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 71

Step 4:
71 goes into 98 1 times with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Deduct 71 from 98 and we're left with 27.
Include the next digit (2) from the dividend after 27, then repeat: 272 / 71

Let's proceed to step 5:
71 can be fit into 272 3 times, resulting in a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 613.0
If we take 213 away from 272, we end up with 59.
Fetch the next digit (8) from the dividend, attach it to 59 and continue: 598 / 71

Going ahead to step 6:
When dividing 598 by 71, we get 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6138.0
If we subtract 568 from 598, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
When dividing 300 by 71, we get 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 6138.4
Deduct 284 from 300 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
71 can be fit into 160 2 times, resulting in a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 6138.42
If we subtract 142 from 160, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
The number 71 fits into 180 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 6138.422
Subtract 142 from 180 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 6138.422 with a remaining 0.0038.