Let's divide 105888 by 64
We're looking to find how many times 64 goes into 105888.

Step 1:
1 divided by 64 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 64

Advancing to step 2:
64 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 64

Let's proceed to step 3:
64 can be fit into 105 1 times, resulting in a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 64 away from 105, we end up with 41.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 64

Step 4:
64 can be fit into 418 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 16.0
The remainder is 34 after subtracting 384 from 418.
Include the next digit (8) from the dividend after 34, then repeat: 348 / 64

Going ahead to step 5:
64 can be fit into 348 5 times, resulting in a remainder of 28.
The next digit of our result is 5. 
Result so far: 165.0
If we take 320 away from 348, we end up with 28.
Fetch the next digit (8) from the dividend, attach it to 28 and continue: 288 / 64

On to step 6:
64 goes into 288 4 times with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 1654.0
If we take 256 away from 288, 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.

Step 7:
When dividing 320 by 64, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1654.5
If we take 320 away from 320, 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.

Advancing to step 8:
0 divided by 64 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1654.5
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.

Moving on to step 9:
64 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1654.5
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.

Our division results in 1654.5 with a remaining 0.0.