We look at the division of 146684 by 90 
We want to figure out the number of times 146684 can be divided by 90.

On to step 1:
90 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 90

Let's proceed to step 2:
The number 90 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 90

On to step 3:
When dividing 146 by 90, we get 1 with a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 90 away from 146, we end up with 56.
Take the next digit (6) from the dividend and append it to 56, then repeat: 566 / 90

Advancing to step 4:
When dividing 566 by 90, we get 6 with a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 540 from 566, we get 26.
Grab the next digit (8) from the dividend, add it to 26, then carry on: 268 / 90

Going ahead to step 5:
If we divide 268 by 90, we get 2 and a remainder of 88.
The next digit of our result is 2. 
Result so far: 162.0
Subtract 180 from 268 to get 88.
Append the next digit (4) from the dividend to 88 and continue with: 884 / 90

On to step 6:
When dividing 884 by 90, we get 9 with a remainder of 74.
The next digit of our result is 9. 
Result so far: 1629.0
If we subtract 810 from 884, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 7:
The number 90 fits into 740 8 times, leaving a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 1629.8
If we take 720 away from 740, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 90 fits into 200 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 1629.82
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
When dividing 200 by 90, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 1629.822
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 1629.822 with a remaining 0.002.