We look at the division of 102825 by 43 
We want to figure out the number of times 102825 can be divided by 43.

Going ahead to step 1:
The number 43 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 43

Moving on to step 2:
The number 43 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 43

Advancing to step 3:
If we divide 102 by 43, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 86 from 102 to get 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 43

Step 4:
If we divide 168 by 43, we get 3 and a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Subtract 129 from 168 to get 39.
Include the next digit (2) from the dividend after 39, then repeat: 392 / 43

Advancing to step 5:
The number 43 fits into 392 9 times, leaving a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 239.0
Subtracting 387 from 392 leaves us with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 43

On to step 6:
55 divided by 43 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 2391.0
The remainder is 12 after subtracting 43 from 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
When dividing 120 by 43, we get 2 with a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 2391.2
Deduct 86 from 120 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
If we divide 340 by 43, we get 7 and a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 2391.27
The remainder is 39 after subtracting 301 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 9:
390 divided by 43 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 2391.279
Deduct 387 from 390 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
43 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 2391.279
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
If we divide 300 by 43, we get 6 and a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 2391.27906
If we take 258 away from 300, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
420 divided by 43 is 9 with a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 2391.279069
Subtract 387 from 420 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 13:
When dividing 330 by 43, we get 7 with a remainder of 29.
The next digit of our result is 7. 
Result so far: 2391.2790697
If we take 301 away from 330, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 14:
When dividing 290 by 43, we get 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 2391.27906976
If we subtract 258 from 290, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 2391.27906976 with a remaining 3.2e-08.