Let's divide 145125 by 84
We want to figure out the number of times 145125 can be divided by 84.

Advancing to step 1:
If we divide 1 by 84, we get 0 and a remainder of 1.
Write down 0 as next digit of 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 / 84

Let's proceed to step 2:
14 divided by 84 is 0 with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 84

Advancing to step 3:
84 goes into 145 1 times with a remainder of 61.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 84 from 145 and we're left with 61.
Grab the next digit (1) from the dividend, add it to 61, then carry on: 611 / 84

Step 4:
If we divide 611 by 84, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtracting 588 from 611 leaves us with 23.
Include the next digit (2) from the dividend after 23, then repeat: 232 / 84

Advancing to step 5:
232 divided by 84 is 2 with a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 172.0
The remainder is 64 after subtracting 168 from 232.
Grab the next digit (5) from the dividend, add it to 64, then carry on: 645 / 84

Step 6:
If we divide 645 by 84, we get 7 and a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 1727.0
If we subtract 588 from 645, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 7:
If we divide 570 by 84, we get 6 and a remainder of 66.
The next digit of our result is 6. 
Result so far: 1727.6
The remainder is 66 after subtracting 504 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 8:
If we divide 660 by 84, we get 7 and a remainder of 72.
Write down 7 as next digit of the result. 
Result so far: 1727.67
The remainder is 72 after subtracting 588 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 9:
84 can be fit into 720 8 times, resulting in a remainder of 48.
The next digit of our result is 8. 
Result so far: 1727.678
The remainder is 48 after subtracting 672 from 720.
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 10:
When dividing 480 by 84, we get 5 with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 1727.6785
Subtracting 420 from 480 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
The number 84 fits into 600 7 times, leaving a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 1727.67857
Deduct 588 from 600 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
The number 84 fits into 120 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1727.678571
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
When dividing 360 by 84, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 1727.6785714
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 14:
The number 84 fits into 240 2 times, leaving a remainder of 72.
The next digit of our result is 2. 
Result so far: 1727.67857142
If we subtract 168 from 240, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 1727.67857142 with a balance of 7.2e-08.