Let's divide 173644 by 64
We're looking to find how many times 64 goes into 173644.

Moving on to step 1:
When dividing 1 by 64, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 64

Step 2:
If we divide 17 by 64, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 64

Going ahead to step 3:
The number 64 fits into 173 2 times, leaving a remainder of 45.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 45 after subtracting 128 from 173.
Include the next digit (6) from the dividend after 45, then repeat: 456 / 64

Let's proceed to step 4:
If we divide 456 by 64, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 27.0
If we take 448 away from 456, we end up with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 64

Going ahead to step 5:
When dividing 84 by 64, we get 1 with a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 271.0
Deduct 64 from 84 and we're left with 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 64

Let's proceed to step 6:
When dividing 204 by 64, we get 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 2713.0
If we take 192 away from 204, we end up 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.

Step 7:
If we divide 120 by 64, we get 1 and a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 2713.1
Subtracting 64 from 120 leaves us 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.

Moving on to step 8:
64 goes into 560 8 times with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 2713.18
If we take 512 away from 560, we end up 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 9:
64 goes into 480 7 times with a remainder of 32.
The next digit of our result is 7. 
Result so far: 2713.187
If we subtract 448 from 480, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
64 goes into 320 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 2713.1875
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.

On to step 11:
0 divided by 64 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2713.1875
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.

Advancing to step 12:
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: 2713.1875
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 2713.1875 with a remainder of 0.0.