Let's divide 101859 by 43
The aim is to understand the frequency of 43 in 101859.

On to step 1:
43 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 43

Step 2:
43 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 43

Advancing to step 3:
43 can be fit into 101 2 times, resulting in a remainder of 15.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 86 from 101 and we're left with 15.
Bring next digit (8) of the dividend behind the 15 and repeat the process: 158 / 43

Step 4:
If we divide 158 by 43, we get 3 and a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 23.0
If we subtract 129 from 158, we get 29.
Bring next digit (5) of the dividend behind the 29 and repeat the process: 295 / 43

Step 5:
295 divided by 43 is 6 with a remainder of 37.
The number 6 becomes the next digit in our result. 
Result so far: 236.0
If we subtract 258 from 295, we get 37.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 43

Going ahead to step 6:
If we divide 379 by 43, we get 8 and a remainder of 35.
Put 8 as the next digit of the answer. 
Result so far: 2368.0
Subtract 344 from 379 to 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.

Going ahead to step 7:
If we divide 350 by 43, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 2368.8
If we subtract 344 from 350, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
43 goes into 60 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 2368.81
Subtracting 43 from 60 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
43 goes into 170 3 times with a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 2368.813
If we subtract 129 from 170, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 10:
43 can be fit into 410 9 times, resulting in a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 2368.8139
Deduct 387 from 410 and we're left 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 11:
230 divided by 43 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 2368.81395
If we take 215 away from 230, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
The number 43 fits into 150 3 times, leaving a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 2368.813953
Subtracting 129 from 150 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 13:
43 goes into 210 4 times with a remainder of 38.
The next digit of our result is 4. 
Result so far: 2368.8139534
Subtracting 172 from 210 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 14:
380 divided by 43 is 8 with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 2368.81395348
Deduct 344 from 380 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 2368.81395348 with a balance of 3.6e-08.