553105 divided by 64 
We want to figure out the number of times 553105 can be divided by 64.

On to step 1:
When dividing 5 by 64, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 64

Advancing to step 2:
55 divided by 64 is 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 64

Going ahead to step 3:
If we divide 553 by 64, we get 8 and a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 512 from 553 to get 41.
Grab the next digit (1) from the dividend, add it to 41, then carry on: 411 / 64

Let's proceed to step 4:
When dividing 411 by 64, we get 6 with a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 86.0
The remainder is 27 after subtracting 384 from 411.
Grab the next digit (0) from the dividend, add it to 27, then carry on: 270 / 64

Step 5:
When dividing 270 by 64, we get 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 864.0
The remainder is 14 after subtracting 256 from 270.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 64

On to step 6:
64 goes into 145 2 times with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 8642.0
The remainder is 17 after subtracting 128 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
64 can be fit into 170 2 times, resulting in a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 8642.2
If we subtract 128 from 170, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
420 divided by 64 is 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 8642.26
If we subtract 384 from 420, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
64 can be fit into 360 5 times, resulting in a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 8642.265
If we subtract 320 from 360, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
When dividing 400 by 64, we get 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 8642.2656
Subtract 384 from 400 to 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 11:
64 can be fit into 160 2 times, resulting in a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 8642.26562
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.

Let's proceed to step 12:
320 divided by 64 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 8642.265625
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.

Moving on to step 13:
When dividing 0 by 64, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8642.265625
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.

Going ahead to step 14:
If we divide 0 by 64, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8642.265625
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.

Our division results in 8642.265625 with a remaining 0.0.