Let's divide 434259 by 64
We're looking to find how many times 64 goes into 434259.

Advancing to step 1:
4 divided by 64 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
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 / 64

Moving on to step 2:
The number 64 fits into 43 0 times, leaving a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 64

Step 3:
When dividing 434 by 64, we get 6 with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 384 from 434 and we're left with 50.
Fetch the next digit (2) from the dividend, attach it to 50 and continue: 502 / 64

Let's proceed to step 4:
502 divided by 64 is 7 with a remainder of 54.
The next digit of our result is 7. 
Result so far: 67.0
If we take 448 away from 502, we end up with 54.
Bring next digit (5) of the dividend behind the 54 and repeat the process: 545 / 64

Step 5:
When dividing 545 by 64, we get 8 with a remainder of 33.
The number 8 becomes the next digit in our result. 
Result so far: 678.0
The remainder is 33 after subtracting 512 from 545.
Take the next digit (9) from the dividend and append it to 33, then repeat: 339 / 64

Let's proceed to step 6:
64 can be fit into 339 5 times, resulting in a remainder of 19.
The next digit of our result is 5. 
Result so far: 6785.0
Deduct 320 from 339 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
64 goes into 190 2 times with a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 6785.2
The remainder is 62 after subtracting 128 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 8:
64 goes into 620 9 times with a remainder of 44.
Use 9 as the next digit of our solution. 
Result so far: 6785.29
Subtract 576 from 620 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
64 can be fit into 440 6 times, resulting in a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 6785.296
If we subtract 384 from 440, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 10:
64 can be fit into 560 8 times, resulting in a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 6785.2968
Subtracting 512 from 560 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 11:
64 goes into 480 7 times with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 6785.29687
If we take 448 away from 480, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
64 goes into 320 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6785.296875
Subtract 320 from 320 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 13:
0 divided by 64 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6785.296875
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 14:
When dividing 0 by 64, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6785.296875
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 6785.296875 with a remaining 0.0.