We're dividing 586514 by 64 
We want to divide 586514 by 64.

Going ahead to step 1:
If we divide 5 by 64, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 64

Moving on to step 2:
58 divided by 64 is 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 64

Step 3:
586 divided by 64 is 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 10 after subtracting 576 from 586.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 64

On to step 4:
64 can be fit into 105 1 times, resulting in a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 91.0
Subtract 64 from 105 to get 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 64

Advancing to step 5:
64 goes into 411 6 times with a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 916.0
If we subtract 384 from 411, we get 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 64

Step 6:
64 goes into 274 4 times with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 9164.0
If we subtract 256 from 274, 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.

On to step 7:
When dividing 180 by 64, we get 2 with a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 9164.2
If we subtract 128 from 180, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
The number 64 fits into 520 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 9164.28
Subtracting 512 from 520 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
80 divided by 64 is 1 with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 9164.281
If we subtract 64 from 80, 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.

Going ahead to step 10:
160 divided by 64 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 9164.2812
If we take 128 away from 160, 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.

Let's proceed to step 11:
64 goes into 320 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 9164.28125
If we take 320 away from 320, we end up 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.

Step 12:
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: 9164.28125
If we take 0 away from 0, we end up 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 13:
If we divide 0 by 64, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 9164.28125
Subtracting 0 from 0 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.

In conclusion, the division gives 9164.28125 with a balance of 0.0.