461434 divided by 64 
Our goal is to divide 461434 by 64.

Let's proceed to step 1:
When dividing 4 by 64, we get 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 (6) from the dividend, attach it to 4 and continue: 46 / 64

Step 2:
If we divide 46 by 64, we get 0 and a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 64

Advancing to step 3:
64 goes into 461 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 13 after subtracting 448 from 461.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 64

On to step 4:
64 goes into 134 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 72.0
The remainder is 6 after subtracting 128 from 134.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 64

Let's proceed to step 5:
64 goes into 63 0 times with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 720.0
Subtracting 0 from 63 leaves us with 63.
Fetch the next digit (4) from the dividend, attach it to 63 and continue: 634 / 64

On to step 6:
64 can be fit into 634 9 times, resulting in a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 7209.0
Subtract 576 from 634 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 7:
If we divide 580 by 64, we get 9 and a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 7209.9
Subtract 576 from 580 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.

Going ahead to step 8:
If we divide 40 by 64, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 7209.9
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
The number 64 fits into 400 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 7209.906
If we subtract 384 from 400, we 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 10:
64 goes into 160 2 times with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 7209.9062
Deduct 128 from 160 and we're left 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 11:
The number 64 fits into 320 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 7209.90625
Subtracting 320 from 320 leaves us with 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 12:
64 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 7209.90625
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 13:
0 divided by 64 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 7209.90625
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 7209.90625 with a balance of 0.0.