We're dividing 35585 by 64 
We want to figure out the number of times 35585 can be divided by 64.

Moving on to step 1:
64 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 64

Advancing to step 2:
35 divided by 64 is 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 64

Advancing to step 3:
64 goes into 355 5 times with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 320 from 355 to get 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 64

Let's proceed to step 4:
64 goes into 358 5 times with a remainder of 38.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtract 320 from 358 to get 38.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 64

Advancing to step 5:
64 can be fit into 385 6 times, resulting in a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 556.0
Subtract 384 from 385 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
The number 64 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 556.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 64 fits into 100 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 556.01
Subtracting 64 from 100 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
The number 64 fits into 360 5 times, leaving a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 556.015
The remainder is 40 after subtracting 320 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
The number 64 fits into 400 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 556.0156
If we subtract 384 from 400, we 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.

Advancing to step 10:
The number 64 fits into 160 2 times, leaving a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 556.01562
If we subtract 128 from 160, 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.

Moving on to step 11:
64 goes into 320 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 556.015625
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.

Advancing to step 12:
64 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 556.015625
The remainder is 0 after subtracting 0 from 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 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: 556.015625
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.

Our division results in 556.015625 with a remaining 0.0.