We're dividing 433698 by 71 
We're looking to find how many times 71 goes into 433698.

Let's proceed to step 1:
4 divided by 71 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 71

Moving on to step 2:
71 goes into 43 0 times with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 71

Moving on to step 3:
71 goes into 433 6 times with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 426 from 433, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 71

Moving on to step 4:
71 goes into 76 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 61.0
Subtracting 71 from 76 leaves us with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 71

Let's proceed to step 5:
71 goes into 59 0 times with a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 610.0
Deduct 0 from 59 and we're left with 59.
Take the next digit (8) from the dividend and append it to 59, then repeat: 598 / 71

Going ahead to step 6:
598 divided by 71 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 6108.0
If we take 568 away from 598, we end up with 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:
If we divide 300 by 71, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 6108.4
Subtract 284 from 300 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
160 divided by 71 is 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 6108.42
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.

Step 9:
180 divided by 71 is 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 6108.422
The remainder is 38 after subtracting 142 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 6108.422 with a balance of 0.0038.