We look at the division of 146888 by 32 
We want to figure out the number of times 146888 can be divided by 32.

Advancing to step 1:
1 divided by 32 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 32

Let's proceed to step 2:
32 goes into 14 0 times with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 32

Step 3:
32 goes into 146 4 times with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 128 from 146 to get 18.
Take the next digit (8) from the dividend and append it to 18, then repeat: 188 / 32

On to step 4:
When dividing 188 by 32, we get 5 with a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 45.0
If we subtract 160 from 188, we get 28.
Include the next digit (8) from the dividend after 28, then repeat: 288 / 32

On to step 5:
32 can be fit into 288 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 459.0
If we take 288 away from 288, we end up with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 32

Going ahead to step 6:
If we divide 8 by 32, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 4590.0
Subtract 0 from 8 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 32 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 4590.2
Subtract 64 from 80 to 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.

Step 8:
160 divided by 32 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 4590.25
Subtracting 160 from 160 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.

Moving on to step 9:
If we divide 0 by 32, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4590.25
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.

Moving on to step 10:
The number 32 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4590.25
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.

The final result is 4590.25 with a remainder of 0.0.