We divide 145772 by 90
Our goal is to divide 145772 by 90.

Advancing to step 1:
When dividing 1 by 90, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 90

Moving on to step 2:
90 goes into 14 0 times with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 90

Let's proceed to step 3:
The number 90 fits into 145 1 times, leaving a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 90 from 145 leaves us with 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 90

On to step 4:
When dividing 557 by 90, we get 6 with a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 540 away from 557, we end up with 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 90

Step 5:
When dividing 177 by 90, we get 1 with a remainder of 87.
Use 1 as the next digit of our solution. 
Result so far: 161.0
The remainder is 87 after subtracting 90 from 177.
Take the next digit (2) from the dividend and append it to 87, then repeat: 872 / 90

On to step 6:
The number 90 fits into 872 9 times, leaving a remainder of 62.
The next digit of our result is 9. 
Result so far: 1619.0
If we take 810 away from 872, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 7:
90 can be fit into 620 6 times, resulting in a remainder of 80.
Put 6 as the next digit of the answer. 
Result so far: 1619.6
If we take 540 away from 620, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 8:
90 goes into 800 8 times with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 1619.68
If we subtract 720 from 800, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 9:
When dividing 800 by 90, we get 8 with a remainder of 80.
Use 8 as the next digit of our solution. 
Result so far: 1619.688
If we subtract 720 from 800, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 1619.688 with a balance of 0.008.