553421 divided by 64 
Our goal is to divide 553421 by 64.

Let's proceed to step 1:
If we divide 5 by 64, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 64

Let's proceed to step 2:
55 divided by 64 is 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Grab the next digit (3) from the dividend, add it to 55, then carry on: 553 / 64

Advancing to step 3:
553 divided by 64 is 8 with a remainder of 41.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 41 after subtracting 512 from 553.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 64

Let's proceed to step 4:
64 can be fit into 414 6 times, resulting in a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 86.0
The remainder is 30 after subtracting 384 from 414.
Bring next digit (2) of the dividend behind the 30 and repeat the process: 302 / 64

Going ahead to step 5:
The number 64 fits into 302 4 times, leaving a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 864.0
If we take 256 away from 302, we end up with 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 64

Step 6:
When dividing 461 by 64, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 8647.0
If we take 448 away from 461, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 64, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 8647.2
The remainder is 2 after subtracting 128 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
20 divided by 64 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8647.2
Subtract 0 from 20 to 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.

Let's proceed to step 9:
If we divide 200 by 64, we get 3 and a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 8647.203
Deduct 192 from 200 and we're left 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.

Moving on to step 10:
80 divided by 64 is 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 8647.2031
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.

Let's proceed to step 11:
160 divided by 64 is 2 with a remainder of 32.
The next digit of our result is 2. 
Result so far: 8647.20312
Subtracting 128 from 160 leaves us 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 12:
64 goes into 320 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 8647.203125
If we subtract 320 from 320, 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 13:
64 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8647.203125
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 14:
If we divide 0 by 64, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8647.203125
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.

The final result is 8647.203125 with a remainder of 0.0.