553171 divided by 64 
Our goal is to divide 553171 by 64.

Going ahead to step 1:
64 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 64

Moving on to step 2:
If we divide 55 by 64, we get 0 and a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 64

Going ahead to step 3:
The number 64 fits into 553 8 times, leaving a remainder of 41.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 512 from 553 and we're left with 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 64

Moving on to step 4:
411 divided by 64 is 6 with a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 86.0
Subtracting 384 from 411 leaves us with 27.
Fetch the next digit (7) from the dividend, attach it to 27 and continue: 277 / 64

Moving on to step 5:
When dividing 277 by 64, we get 4 with a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 864.0
Subtract 256 from 277 to get 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 64

Step 6:
64 can be fit into 211 3 times, resulting in a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 8643.0
Deduct 192 from 211 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
190 divided by 64 is 2 with a remainder of 62.
Record the quotient 2 as the next digit in the result. 
Result so far: 8643.2
The remainder is 62 after subtracting 128 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 8:
If we divide 620 by 64, we get 9 and a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 8643.29
Subtracting 576 from 620 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
64 goes into 440 6 times with a remainder of 56.
The next digit of our result is 6. 
Result so far: 8643.296
If we take 384 away from 440, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
64 can be fit into 560 8 times, resulting in a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 8643.2968
Subtracting 512 from 560 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
When dividing 480 by 64, we get 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 8643.29687
If we take 448 away from 480, 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.

Moving on to step 12:
64 can be fit into 320 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 8643.296875
Subtract 320 from 320 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.

Let's proceed to step 13:
64 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 8643.296875
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.

Moving on to step 14:
64 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8643.296875
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.

After the division, we end up with 8643.296875 and a remainder of 0.0.