We divide 509102 by 64
We want to divide 509102 by 64.

Step 1:
64 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 64

On to step 2:
If we divide 50 by 64, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 64

Step 3:
64 can be fit into 509 7 times, resulting in a remainder of 61.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 448 from 509, we get 61.
Append the next digit (1) from the dividend to 61 and continue with: 611 / 64

Advancing to step 4:
The number 64 fits into 611 9 times, leaving a remainder of 35.
The next digit of our result is 9. 
Result so far: 79.0
Subtract 576 from 611 to get 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 64

On to step 5:
If we divide 350 by 64, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 795.0
If we subtract 320 from 350, we get 30.
Bring next digit (2) of the dividend behind the 30 and repeat the process: 302 / 64

Advancing to step 6:
If we divide 302 by 64, we get 4 and a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 7954.0
If we subtract 256 from 302, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
When dividing 460 by 64, we get 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 7954.7
Deduct 448 from 460 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
64 can be fit into 120 1 times, resulting in a remainder of 56.
Put 1 as the next digit of the answer. 
Result so far: 7954.71
The remainder is 56 after subtracting 64 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
If we divide 560 by 64, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 7954.718
If we subtract 512 from 560, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
480 divided by 64 is 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 7954.7187
Deduct 448 from 480 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.

Moving on to step 11:
When dividing 320 by 64, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 7954.71875
Deduct 320 from 320 and we're left 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.

Going ahead to step 12:
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: 7954.71875
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.

Advancing to step 13:
The number 64 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 7954.71875
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.

In conclusion, the division gives 7954.71875 with a balance of 0.0.