We look at the division of 677122 by 64 
We want to figure out the number of times 677122 can be divided by 64.

Let's proceed to step 1:
64 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 64

Let's proceed to step 2:
64 goes into 67 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 64 from 67.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 64

On to step 3:
The number 64 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 37 after subtracting 0 from 37.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 64

On to step 4:
The number 64 fits into 371 5 times, leaving a remainder of 51.
Put 5 as the next digit of the answer. 
Result so far: 105.0
If we subtract 320 from 371, we get 51.
Append the next digit (2) from the dividend to 51 and continue with: 512 / 64

Step 5:
When dividing 512 by 64, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 1058.0
If we subtract 512 from 512, we get 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 64

Step 6:
The number 64 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 10580.0
The remainder is 2 after subtracting 0 from 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 64, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10580.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 64 fits into 200 3 times, leaving a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 10580.03
If we subtract 192 from 200, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
64 can be fit into 80 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 10580.031
The remainder is 16 after subtracting 64 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
64 can be fit into 160 2 times, resulting in a remainder of 32.
The next digit of our result is 2. 
Result so far: 10580.0312
The remainder is 32 after subtracting 128 from 160.
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:
When dividing 320 by 64, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 10580.03125
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.

Step 12:
64 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10580.03125
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.

Advancing to step 13:
64 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10580.03125
Deduct 0 from 0 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.

In conclusion, the division gives 10580.03125 with a balance of 0.0.