We look at the division of 146644 by 89 
We're looking to find how many times 89 goes into 146644.

Step 1:
The number 89 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 89

Let's proceed to step 2:
89 goes into 14 0 times with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 89

Going ahead to step 3:
146 divided by 89 is 1 with a remainder of 57.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 89 from 146 to get 57.
Bring next digit (6) of the dividend behind the 57 and repeat the process: 576 / 89

Step 4:
89 can be fit into 576 6 times, resulting in a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 534 from 576 and we're left with 42.
Fetch the next digit (4) from the dividend, attach it to 42 and continue: 424 / 89

Advancing to step 5:
The number 89 fits into 424 4 times, leaving a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 164.0
Deduct 356 from 424 and we're left with 68.
Include the next digit (4) from the dividend after 68, then repeat: 684 / 89

Moving on to step 6:
89 can be fit into 684 7 times, resulting in a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 1647.0
The remainder is 61 after subtracting 623 from 684.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 7:
89 can be fit into 610 6 times, resulting in a remainder of 76.
Record the quotient 6 as the next digit in the result. 
Result so far: 1647.6
Subtracting 534 from 610 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 8:
The number 89 fits into 760 8 times, leaving a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 1647.68
Deduct 712 from 760 and we're left 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.

Advancing to step 9:
480 divided by 89 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 1647.685
If we subtract 445 from 480, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
When dividing 350 by 89, we get 3 with a remainder of 83.
The number 3 becomes the next digit in our result. 
Result so far: 1647.6853
If we subtract 267 from 350, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 11:
830 divided by 89 is 9 with a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 1647.68539
If we subtract 801 from 830, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 12:
The number 89 fits into 290 3 times, leaving a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 1647.685393
Subtracting 267 from 290 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 13:
If we divide 230 by 89, we get 2 and a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 1647.6853932
Subtracting 178 from 230 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 14:
If we divide 520 by 89, we get 5 and a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 1647.68539325
Subtract 445 from 520 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

After the division, we end up with 1647.68539325 and a remainder of 7.5e-08.